Answer:
15) m∠A = 21°, m∠B = 125°, m∠C = 34°
16) m∠J = 48°, m∠K = 57°, m∠L = 75°
Explanation:
15) m∠A is thirteen less than m∠C, so if you were to translate that into numerical terms, it would be (x-13). m∠B is eleven less than four times m∠C, so that would be (4x-11). Because the angles of a triangle sum up to 180°, the equation for this scenario would be (x-13)+(4x-11)+x=180. (X is a variable for m∠C. Add all the like terms to get 6x-24=180. Add 24 to both sides to get 6x=204. Divide 6 on both sides to get x=34. Now that we know m∠C, we can substitute 34 into x to get m∠A as 21° and m∠B as 125°.
16) m∠K is 9 more than m∠J, which is (x+9). m∠L is 21 less than twice m∠J, which is (2x-21). Again, a triangle's angles sum up to 180°, so the equation would be (x+9)+(2x-21)+x=180. Add the like terms to get 4x+(-12)=180. Add 12 to both sides to get 4x=192. Divide 4 on both sides to get x=48. Substitute 48 for x to get m∠K = 57° and m∠L=75°.
The sum of a number times 7 and 17 is less than 24
Answer:
21
Step-by-step explanation:
three times seven equals 21 and then you just have 3 left
Read the excerpt from "John Burns of Gettysburg” by Bret Harte. And it was terrible. On the right Raged for hours the heady fight, Thundered the battery's double brass,— Difficult music for men to face; While on the left—where now the graves Undulate like the living waves That all the day unceasing swept Up to the pits the rebels kept Which use of consonance best conveys the violent sounds of the battle? “And it was terrible. On the right” “Thundered the battery’s double brass” “Difficult music for men to face” “Undulate like the living waves”
NEED HELP ASAP! I WILL GIVE BRAINLIEST TO WHO ANSWERS FIRST
The use of consonance in "Thundered the battery's double brass" best conveys the violent sounds of the battle.
What is consonance?
Consonance is a literary device where consonant sounds are repeated in close proximity, often at the ends of words, to create a musical or rhythmic effect in a text.
The passage uses consonance, which is the repetition of consonant sounds within or at the end of words, to convey the violent sounds of the battle.
In particular, the repeated "t" and "d" sounds in "Thundered the battery's double brass" and "Difficult music for men to face" create a harsh, jarring effect that emphasizes the chaos and danger of the fighting.
Similarly, the repeated "v" and "l" sounds in "Undulate like the living waves" create a sense of movement and fluidity, conveying the unrelenting and overwhelming force of the rebel advance.
Learn more about consonance:
https://brainly.com/question/30771735
#SPJ1
Solve for m:
598 + 15.75m < 850
Answer:
m < 16
Step-by-step explanation:
598 + 15.75m < 850
15.75m < 850 - 598
15.75m < 252
m < 16
find ts to make perfect square of 80
Answer:
6400
Step-by-step explanation:
To find the number that makes the perfect square of 80, multiply 80 times 80 (square 80).
80 squared equals 6400, which means the square root of 6400 would be the perfect square 0f 80.
a cook uses 1 3/4 teaspoons if salt to make 3 1/2 pounds of pasta. what is the unit rate in teaspoons per pound , at which the cook uses salt to make pasta?
The unit rate in teaspoons per pound would be 1/2 teaspoons per pound.
What is the unit rate?
A unit rate means a rate for one or something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
The number of teaspoons:
\(=1\frac{3}{4}\\\\=\frac{4+3}{4}\\\\=\frac{7}{4}\)
Amount of pasta:
\(=3\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\)
Now the unit rate = number of teaspoons/ amount of pasta
\(=\frac{7/4}{7/2}\\\\=\frac{1}{2}\\\)
Hence, the unit rate in teaspoons per pound would be 1/2 teaspoons per pound.
To learn more about unit rates, visit:
https://brainly.com/question/4895463
#SPJ1
Answer:
Step-by-step explanation:
1/2
Determine the equation of the circle with center ( 2 , 3 ) (2,3) containing the point ( 7 , 15 ) (7,15)
Answer:
(x -2)² +(y -3)² = 169
Step-by-step explanation:
You want the equation of the circle through (7, 15) centered at (2, 3).
Circle equationThe standard-form equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The value of r² can be found using the distance formula.
d = √((x2 -x1)² +(y2 -y2)²)
d² = r² = (7 -2)² +(15 -3)² = 5² +12² = 25 +144
r² = 169
The circle equation is ...
(x -2)² +(y -3)² = 169
__
Additional comment
You may recognize the triangle shown in the attachment as having side measures that are the Pythagorean triple {5, 12, 13}. That is, once you see coordinate differences of 5 and 12, you know the circle radius is 13, and r² = 13² = 169.
<95141404393>
Please help!
Solve for C:
S = C + RC
Answer:
C=S/1+R ( The + is a ___ so 1+R is under S)
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
At a sale, coats were sold for 82% of their original price. If the coats originally cost $200 each, how much did a coat cost on sale?
164
Step-by-step explanation:
The solution is, a coat cost on sale = $164.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
At a sale, coats were sold for 82% of their original price.
If the coats originally cost $200 each,
so, a coat cost on sale = $200* 82%
=$164
Hence, The solution is, a coat cost on sale = $164.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ6
Can you help me please? A lot of those
All the solutions are given below.
Now, We can simplify as;
1) Two points on line are (- 2, 5) and (1, - 5)
Hence, Slope of the line is,
m = (- 5 - (5)) / (1 + 2)
m = - 10 / 3
2) Two point on line are (- 1, 5) and (5, 2)
Hence, Slope of the line is,
m = (2 - 5) / (5 + 1)
m = - 3 / 6
m = - 1/2
3) Two points on line are (2, 0) and (-1, 5)
Hence, Slope of the line is,
m = (5 - 0) / (- 1 - 2)
m = - 5 / 3
4) Two points on line are (- 1, 5) and (5, - 3)
Hence, Slope of the line is,
m = (- 3 - (5)) / (5 + 1)
m = - 8 / 6
m = - 4/3
5) Equation of line is,
y = 3/4x + 1
Hence, Slope = 3/4
6) Equation of line is,
y = 3/8x - 2
Hence, Slope = 3/8
7) Equation of line is,
y = 2x - 3
Hence, Slope = 2
8) Equation of line is,
y = 3/4x + 1
Hence, Slope = 3/4
9) Equation of line with slope 5/4 and y - intercept - 3 is,
y = 5/4x - 3
10) Equation of line with slope - 1 and y -= intercept 2 is,
y = - x + 2
Learn more about line visit:
https://brainly.com/question/18831322
#SPJ1
Discuss how well you data on resistivity (obtained based on the Eqn. 3) agrees with the given values. Discuss the sources of experimental error.
Eqn.3) rho = (slope)A = (slope)Ï(d/2)2
Based on the equation 3, the data on resistivity agrees well with the given values. However, there may be some sources of experimental error that can affect the accuracy of the data. These sources of error which include Measurement, Human, Random errors.
1. Measurement errors: These can occur due to the inaccuracy of the measuring instruments used in the experiment. For example, if the instrument used to measure the slope is not calibrated correctly, it can lead to inaccurate results.
2. Human errors: These can occur due to the mistakes made by the experimenter. For example, if the experimenter does not read the measurements correctly, it can lead to inaccurate results.
3. Random errors: These can occur due to the uncontrollable factors that can affect the experiment. For example, if there is a change in temperature during the experiment, it can affect the resistivity of the material.
Overall, it is important to consider these sources of experimental error in order to obtain accurate data on resistivity.
Know more about resistivity here:
https://brainly.com/question/17010736
#SPJ11
4
∫ (1-e^-x0 dx
0
solve the given equation using the composite simpson’s 1/3 rule with n = 4, and determine the true percent relative error based on the analytical solution. (round the solution of the equation to four decimal places and percent relative error to two decimal places.) The solution of the given equation is with a true percent relative error of Skipped Hint References
The solution of the given equation is [solution] with a true percent relative error of [error].
What is the numerical solution and true percent relative error?To solve the given equation using the composite Simpson's 1/3 rule, we need to apply the formula with the specified value of n = 4.
However, the equation itself is missing from the question, so we cannot provide the exact numerical solution.
Similarly, the true percent relative error also depends on the analytical solution, which is not provided. Without the equation and the analytical solution, we are unable to calculate the numerical solution or the true percent relative error accurately.
Learn more about composite Simpson's 1/3 rule
brainly.com/question/31987583
#SPJ11
For a recent eion, there were 14 more Democrat than Republican in the tate enate. Thi reulted in a ratio of 6 Democrat to 5 Republican. How many enator were Democrat and how many were Republican?
There were 70 Republicans and 84 Democrats in the state senate.
Let x be the number of Republicans in the state senate.
Then the number of Democrats is x + 14.
We know the ratio of Democrats to Republicans is 6 to 5.
According to the given conditions, we can write the equation as follows -
x / (x + 14) = 5 / 6
Cross multiplying, we get,
6x = 5x + 70
Subtracting 5x from both sides of the equation, we get,
x = 70
Therefore, we get that there were 70 Republicans and 84 Democrats in the state senate.
Read more about ratio:
brainly.com/question/28437761
#SPJ4
Find the value of x for the equation below:
-3x + 10 = 5x - 8
Answer:
x = 2.25
Step-by-step explanation:
-3x + 10 = 5x - 8
add 3 to 5x, add 8 to 10
18 = 8x
divide 18 by 8
x = 18/8 = 2.25
What are the coordinates of point C? Written as an ordered pair.
A. (2, 4)
B. (-2, 2)
C. (4, -2)
D. (4, 4)
Answer:
A. (2,4)
Step-by-step explanation:
you are given an array of arrays a. your task is to group the arrays a[i] by their mean values, so that arrays with equal mean values are in the same group, and arrays with different mean values are in different groups. each group should contain a set of indices (i, j, etc), such that the corresponding arrays (a[i], a[j], etc) all have the same mean. return the set of groups as an array of arrays, where the indices within each group are sorted in ascending order, and the groups are sorted in ascending order of their minimum element.
Example
For
a = [[3, 3, 4, 2],
[4, 4],
[4, 0, 3, 3],
[2, 3],
[3, 3, 3]]
the output should be
meanGroups(a) = [[0, 4],
[1],
[2, 3]]
mean(a[0]) = (3 + 3 + 4 + 2) / 4 = 3;
mean(a[1]) = (4 + 4) / 2 = 4;
mean(a[2]) = (4 + 0 + 3 + 3) / 4 = 2.5;
mean(a[3]) = (2 + 3) / 2 = 2.5;
mean(a[4]) = (3 + 3 + 3) / 3 = 3.
There are three groups of means: those with mean 2.5, 3, and 4. And they form the following groups:
Arrays with indices 0and 4 form a group with mean 3;
Array with index 1 forms a group with mean 4;
Arrays with indices 2and 3 form a group with mean 2.5.
Note that neither
meanGroups(a) = [[0, 4],
[2, 3],
[1]]
nor
meanGroups(a) = [[0, 4],
[1],
[3, 2]]
will be considered as a correct answer:
In the first case, the minimal element in the array at index 2 is 1, and it is less then the minimal element in the array at index 1, which is 2.
In the second case, the array at index 2 is not sorted in ascending order.
For
a = [[-5, 2, 3],
[0, 0],
[0],
[-100, 100]]
the output should be
meanGroups(a) = [[0, 1, 2, 3]]
The mean values of all of the arrays are 0, so all of them are in the same group.
Input/Output
[execution time limit] 3 seconds (java)
[input] array.array.integer a
An array of arrays of integers.
Guaranteed constraints:
1 ≤ a.length ≤ 100,
1 ≤ a[i].length ≤ 100,
-100 ≤ a[i][j] ≤ 100.
[output] array.array.integer
An array of arrays, representing the groups of indices
import java.util.ArrayList;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.Iterator;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.Scanner;
public class Mean {
static public void main(String args[])
{
// Initializing variables
int[][] a = new int[100][100]; // Array of arrays for holding the inputs
Map<Integer,ArrayList<Integer>> averagemaps = new HashMap<Integer,ArrayList<Integer>>(); // Map to contain the average and the list of array indexes
List<Integer> averages = new ArrayList<Integer>(); // List of averages of the arrays
Scanner sc = new Scanner(System.in);
// Input for the array of arrays
System.out.println("Enter the number of arrays: ");
int noArrays = sc.nextInt();
for(int i = 0; i < noArrays; i++)
{
System.out.println("Enter the number of elements in the array "+i+":");
int noElements = sc.nextInt();
int sum = 0;
int avg = 0;
System.out.println("Enter the elements of the array "+i+" one by one:");
for(int j = 0; j < noElements; j++)
{
a[i][j] = sc.nextInt(); // Input for each elements in the array.
sum += a[i][j]; // Calculating the sum of the elements in the array.
}
avg = sum/noElements; // calculating average for the array
// checking if the average is inside the list or not
if(!averages.contains(avg))
{
// If the average is not already in the list
// Adding the average into the list
averages.add(avg);
// create an array list to
// hold the list of indices which has the same array
ArrayList<Integer> a1 = new ArrayList<Integer>();
a1.add(i);
// Mapping the average to the list of indices.
averagemaps.put(avg, a1);
}
else
{
// The average is present in the list
// Adding the index to the array list
// mapped to it.
averagemaps.get(avg).add(i);
}
}
// Sorting the index arrays for each average
// in ascending order
Iterator itr=averages.iterator();
int index = 0;
while(itr.hasNext()){
Collections.sort(averagemaps.get(itr.next()));
}
// For sorting the array of indices based on their lowest number
// Since the arrays are in a map, the map needs to be sorted.
// There is no function to sort the map, Hence the map is converted to
// a list of entersets.
List<Map.Entry<Integer,ArrayList<Integer>>> list =
new LinkedList<Map.Entry<Integer,ArrayList<Integer>>>(averagemaps.entrySet());
// Using the sort function to sort the list. The list should be sorted based on the minimum
// element in each array.
Collections.sort(list, new Comparator<Map.Entry<Integer,ArrayList<Integer>>>() {
public int compare(Map.Entry<Integer,ArrayList<Integer>> o1,
Map.Entry<Integer,ArrayList<Integer>> o2) {
// since the elements in the arrays are already sorted
// the element in the index 0 will be the smallest element
return (o1.getValue().get(0)).compareTo(o2.getValue().get(0));
}
});
// Converting the list back to a hashmap
averagemaps = new HashMap<Integer,ArrayList<Integer>>();
for (Map.Entry<Integer,ArrayList<Integer>> entry : list) {
averagemaps.put(entry.getKey(), entry.getValue());
}
// Initializing an array of array for the output
// The outer array dimension is defined.
// The inner array dimension can be defined based on the
// size of the indices array
int[][] answer = new int[averages.size()][];
itr = averages.iterator();
// Iterate through the averages lists
while(itr.hasNext())
{
ArrayList<Integer> i = averagemaps.get(itr.next());
Iterator iterr=i.iterator();
answer[index] = new int[i.size()];
int innerindex = 0;
while(iterr.hasNext())
answer[index][innerindex++] = (Integer)iterr.next(); // adding the array of indices into the output array.
index++;
}
// Printing the arrays of arrays.
System.out.print("[ ");
for(int i = 0; i < answer.length; i++)
{
System.out.print("[ ");
for(int j = 0;j < answer[i].length; j++)
System.out.print(answer[i][j]+ ", ");
System.out.println("]");
}
System.out.println("]");
}
}
Output:
Enter the number of arrays:
4
Enter the number of elements in the array 0:
3
Enter the elements of the array 0 one by one:
-5
2
3
Enter the number of elements in the array 1:
2
Enter the elements of the array 1 one by one:
0
0
Enter the number of elements in the array 2:
1
Enter the elements of the array 2 one by one:
0
Enter the number of elements in the array 3:
2
Enter the elements of the array 3 one by one:
-100
100
[ [ 0, 1, 2, 3, ]
]
To know more about arraylist check the below link:
https://brainly.com/question/8045197
#SPJ4
Type the missing number in this sequence,3, 9,_,24,33,43,54
Answer: 18
Step-by-step explanation:
The polynomial f(x) has degree 4. Choose each statement that could describe all the zeros of f
One zero with multiplicity 3
One zero with multiplicity 4
One zero with multiplicity 5
One zero with multiplicity 1 and one zero with multiplicity 2
One zero with multiplicity 1 and one zero with multiplicity 3
One zero with multiplicity 2 and two zeros with multiplicity 1
One zero with multiplicity 2 and three zeros with multiplicity 1
Two zeros with multiplicity 2
Two zeros with multiplicity 2 and two zeros with multiplicity 1
Two zeros with multiplicity 2 and three zeros with multiplicity 1
Two zeros with multiplicity 1
Three zeros with multiplicity 1
Four zeros with multiplicity 1
Five zeros with multiplicity 1
The answer choices which could correctly describes all the zeroes of the polynomial in discuss are;
One zero with multiplicity 4.One zero with multiplicity 1 and one zero with multiplicity 3.One zero with multiplicity 2 and two zeros with multiplicity 1.Two zeros with multiplicity 2Four zeros with multiplicity 1.Which answer choices could correctly describe the zeroes of a polynomial with degree 4?It follows from the task content that the answer choices which could correctly represent the zeroes of the polynomial be determined.
Since the degree of the polynomial is 5, the number of factors (linear) such polynomial s would have must be 4.
On this note, the total factors is determined by the aggregate sum of zeroes and multiplicities.
Ultimately, the possible zeroes for the polynomial are as indicated above.
Read more on zeroes of a polynomial;
https://brainly.com/question/28560646
#SPJ1
WILL GIVE BRAINLIEST!
Consider the following.
twelve times the difference between a number and fifty-five
Translate into a variable expression. (Use x for your variable. Do not simplify.)
write the equation of a line in slope-intercept form with a slope of -1/3 and a y-intercept of 4
Answer:
y = -1/3x + 4
Step-by-step explanation:
Slope-intercept form is y=mx+b where m is slope and b is y-intercept. Substituting the given slope of -1/3 in for m and the given y-intercept of 4 in for b, the equation of the line would be y = -1/3x + 4. Hope this helps :)
Lucia gave Brenda half of the cash she had in the store counter at the end of the day. Brenda put the money in her purse and added one half of the amount she had from her own savings. Brenda had saved half of what Lucia earned in the store that day. Brenda took her purse and went to the dog shelter and brought food and treat packet for 5 dogs. Each packet cost her $15. How much money did Lucia earn at the store that day?
Answer:
$100
Step-by-step explanation:
The amount Lucia gave Brenda = Half the amount in the store counter
The amount Brenda added to the money Lucia gave her = Half the amount in her (Brenda) savings
The amount Brenda had saved = Half of the amount Lucia earned in the store that day
The number of food and treat packets Brenda bought = 5
The cost of each packet = $15
Let x represent the amount Lucia earned and let y represent the amount Brenda saved
We have;
x/2 = y
x/2 + y/2 = 15 × 5 = 75
Therefore, we get;
y + y/2 = 75
(3/2)·y = 75
y = 75 × 2/3 = 50
y = 50
From x/2 = y, we have;
x/2 = 50
x = 2 × 50 = 100
The amount Lucia earned in her store that day, x = $100
H.F.C of x^4 +(2b^2 -a^2 )x^2+b^4 and x^4 +2ax^3 +a^2x^2 -b^4
Answer:
The answer is x^2+ax+b^2
Need ASAP! Will mark branliest ..What is the slope (m)? 2x+2y=8
Answer:
m= 1
Step-by-step explanation:
subtract 2x
2y= 2x + 8
divide by 2
y= x + 4
y= mx + b, m is the slope
Answer:
y = -x + 4
m= -1
Step-by-step explanation:
First thing you need to do is get y by itself so you can have it in y=mx+b format
2x + 2y = 8
2y = -2x + 8 divide by 2
y = -x + 4
since x is by itself there is an imaginary 1 in front of the x, so it would be -1
The Majesty leaves the Port at Boston for Bermuda with a bearing of S80 degree E at an average speed of 10 nm/hr. After 1 hour the ship turns 90 degree toward the southwest. After 2 hours at an average speed of 20 nm/hr what is the bearing of the ship from Boston?
The bearing of the ship from boston is approximately s36.
to solve this problem, we need to use vector addition to find the displacement of the ship from boston to its current position. we can start by breaking down the ship's motion into two parts: the first hour of motion at 10 nm/hr on a bearing of s80°e, and the next 2 hours of motion at 20 nm/hr on a bearing of s45°w (which is equivalent to n45°e).
for the first hour of motion, we can find the ship's initial displacement as follows:
distance = speed × time = 10 nm/hr × 1 hr
= 10 nm
using trigonometry, we can find the horizontal and vertical components of this displacement:
horizontal distance = 10 nm × cos(80°) = 1.68 nm (rounded to two decimal places)
vertical distance = 10 nm × sin(80°)
= 9.92 nm (rounded to two decimal places)
, the ship's initial displacement from boston is 1.68 nm to the east and 9.92 nm to the south.
for the next 2 hours of motion, we can find the ship's additional displacement as follows:
distance = speed × time = 20 nm/hr × 2 hr
= 40 nm
using trigonometry again, we can find the horizontal and vertical components of this displacement:
horizontal distance = 40 nm × cos(45°)
= 28.28 nm (rounded to two decimal places)
vertical distance = 40 nm × sin(45°) = 28.28 nm (rounded to two decimal places)
, the ship's additional displacement is 28.28 nm to the northeast.
to find the ship's total displacement, we can add the initial and additional displacements using vector addition:
horizontal displacement = 1.68 nm - 28.28 nm
= -26.60 nm (rounded to two decimal places)
vertical displacement = 9.92 nm + 28.28 nm = 38.20 nm (rounded to two decimal places)
the negative sign for the horizontal displacement indicates that the ship is west of boston. we can find the bearing of the ship from boston using trigonometry:
tan(θ) = horizontal displacement / vertical displacement
θ = arctan(horizontal displacement / vertical displacement)
θ = arctan(-26.60 nm / 38.20 nm)
θ ≈ -36.6° (rounded to one decimal place)
however, we need to adjust this angle by adding 180° since the ship is now in the southern hemisphere.
θ = -36.6° + 180°θ ≈ 143.4° (rounded to one decimal place) 6°w (or n36.6°e).
Learn more about angle here:
https://brainly.com/question/31818999
#SPJ11
i need help with these 2 i think there both b but im not sure can someone pls help
What subset, a, of the sample space represents the complement of the event in which camille is the final swimmer? a = {cba, cab, bca, acb} a = {abc, bac} a = {cba, cab, bac, bca, acb, abc} a = {ab, ba}
Answer:
the first choice :)
Step-by-step explanation:
Answer:
Option A: A = {CBA, CAB, BCA, ACB}
how many vertices does a full 5-ary tree with 100 internal vertices have?
The total number of vertices a full 5-ary tree with 100 internal vertices have is 501.
What is a M-ary Tree ?A tree with m or less offspring at each node is known as an m-ary tree. When m = 2, a binary tree is the particular case, and a ternary tree, which has m = 3 and a maximum of three offspring, is another special case.
A m-ary tree with just a root node has a height of 0, as the height h of an m-ary tree does not include the root node. The maximum depth D of any tree node determines the height of the tree.
In computer science, a collection of nodes often represented hierarchically in the following way is referred to as a "m-ary tree." At the root node, the tree is initiated. A list of pointers to each node's child nodes is kept by each node in the tree. There are less than or as many child nodes as m.
It is given the m-ary tree as 5-ary tree (m)
And the number of Intervals = 100(i)
We can calculate the number of vertices by using
n = m*i + 1 = 100*5 + 1 = 501
To learn more about M-ary Tree refer to :
https://brainly.com/question/30062899
#SPJ4
Write : linear equation to represent the line shown on the graph.
The equation of the line that passes through the points (0,-2) and (3,2) is 4x-3y-6 = 0.
What is equation of line?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.
The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.
In the given graph,
The points are (0,-2) and (3,2)
To find the equation of the line,
Find slope by using formula m = (y₂-y₁)/(x₂-x₁)
m = (2-(-2))/(3-0)
m = 4/3
The equation of line is,
y-y₁ = m (x-x₁)
y-(-2) = 4/3(x-0)
y+2 = 4/3x
3y+6 = 4x
4x-3y-6 = 0
The required equation of line is 4x-3y-6 = 0.
To know more about Equation of line on:
https://brainly.com/question/21511618
#SPJ1
Which represents the polynomial written in standard form? 8x2y2 – StartFraction 3 x cubed y Over 2 EndFraction 4x4 – 7xy3 –7xy3 8x2y2 – StartFraction 3 x cubed y Over 2 EndFraction 4x4 4x4 – 7xy3 – StartFraction 3 x cubed y Over 2 EndFraction 8x2y2 4x4 8x2y2 – StartFraction 3 x cubed y Over 2 EndFraction – 7xy3 –7xy3 – StartFraction 3 x cubed y Over 2 EndFraction 8x2y2 4x4.
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. The given option the option A matches correctly with the above polynomial equation which is,
\(-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4\)
Hence the option A is the correct option.
Given information-The given polynomial equation in the problem is,
\(8x^2y^2-\dfrac{3x^3y}{2}+4x^4-7xy^3\)
Polynomial equationPolynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign.
In the above polynomial equation the variable are x and y and the highest power of the variable x is four and highest power of the variable y is three.
Arrange the polynomial equation in the power of the variable x. Thus,
\(4x^4-\dfrac{3x^3y}{2}+8x^2y^2-7xy^3\)
Arrange the polynomial equation in the power of the variable y. Thus,
\(-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4\)
From the given option the option A matches correctly with the above polynomial equation which is,
\(-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4\)
Thus the option A is the correct option.
Learn more about the polynomial equation here;
https://brainly.com/question/25958000
Answer:
answer is a
Step-by-step explanation:
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him ₹ 50 per metre and trousers material that costs him ₹ 90 per metre. For every 3 metres of the shirt material, he buys 2 metres of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is ₹ 36,600. How much trouser material did he buy?
PLease i want it with step by step explanation
Answer:
Step-by-step explanation:
Let x represent the number of meters of shirt material that he bought.
Let y represent the number of meters of trouser material that he bought.
For every 3 metres of the shirt material, he buys 2 metres of the trouser material. It means that
2x = 3y
x = 3y/2
shirt material cost him ₹ 50 per metre and trousers material cost him ₹ 90 per metre. It means that the total cost is
50x + 90y
Selling price for the shirt material is
50x + (12/100 × 50x) = 56x
Selling price for the trouser material is
90y + (10/100 × 90y) = 99y
If his total sale is ₹ 36,600, it means that
56x + 99y = 36600- - - - - - - - 1
Substituting x = 3y/2 into equation 1, it becomes
56(3y/2) + 99y = 36600
Multiplying both sides by 2, it becomes
168y + 198y = 73200
366y = 73200
y = 73200/366
y = 200
x = 3y/2 = 3 × 200/2
x = 300
He bought 200 meters of trouser material
1. Write an integer to represent the following situation: *
(1 Point)
A $35 withdrawl.
Enter your answer
I
2. Write an integer to represent the following situation: *
(1 Point)
An 8 yard gain.
Enter your answer
Answer:
1. -35
2. 8
Step-by-step explanation:
1.
A withdrawal is represented by a negative number since the balance of the account is lowered.
Answer: -35
2.
A gain is represented by a positive number.
Answer: 8