A line passes through the points (0, 4) and (1, 9). What is its equation in slope-intercept
Answers
Answer:
y=5x+4
Step-by-step explanation:
First get slope:
(4-9)/(0-1) = -5/-1 = 5
The y-intercept is where the graph hits the y-axis. That is also the point on the graph where x = 0. We are already given that, with point (0,4).
The y-intercept is 4.
y = mx +b, m is slope and b is the intercept.
y = 5x +4
Related Questions
What is the equation of the horizontal asymptote for the following exponential graph? Please help I need it
Answers
Answer:
y=5
Step-by-step explanation:
The curve stops at the y value of 6. And we need a horizontal line for the asymptote, so we don't need an x value only a y-value. So the y-value is 5 on the y-axis, which means your equation will be y=5.
-Hope this helped
prove that if two sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. (theorem)
Answers
Two sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.
Given,
Sides of quadrilateral are parallel and congruent .
Now,
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is said to be parallelogram.
Mathematically,
If Line AB ≅ Line CD and Line BC ≅ Line DA , then ABCD is a parallelogram.
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is said to be parallelogram.
Thus by the use of congruent properties we can state that quadrilateral having opposite sides parallel and congruent is a parallelogram.
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On a city map, 1/3 inch represents 2 city blocks in real life. If city Hall and the library are 4 1/3 inches apart on the map, what is the actual distance between the two?
Answers
26 city blocks
Explanation:\(\begin{gathered} \frac{1}{3}\text{inch = 2 city blocks} \\ \\ \text{the distance betw}een\text{ the city hall and Library = 4}\frac{1}{3}inches\text{ apart} \end{gathered}\)\(\begin{gathered} \text{let the actual distance betw}een\text{ the city hall and Library = y} \\ \frac{1}{3}inch\text{ = 2 city blocks} \\ 4\frac{1}{3}inch\text{ = y} \\ \text{cross multiply:} \\ y(\frac{1}{3})\text{ = 2(4}\frac{1}{3}) \end{gathered}\)\(\begin{gathered} \frac{y}{3}\text{ = 2(}\frac{13}{3}) \\ \frac{y}{3}\text{ =(}\frac{26}{3}) \\ 3(y)\text{ = 26(3)} \\ y\text{ = }\frac{26(3)}{3} \\ y\text{ = 26} \end{gathered}\)Hence, the actual distnce between the city Hall and library is 26 city blocks apart
Dmitri wants to tip 20% on a restaurant bill that is $34.50. He does the following work to determine how much he should leave as a tip
Answers
Answer: $6.90
Step-by-step explanation:
20% ---> .20
34.50 x .20 = 6.9
Determine which of the following conditions is NOT NECESSARY in order for a function y = f(x) to be differentiable at x=a. Circle all conditions which are not necessary. f(x)-f(a) = f(a) (A) lim f(a+h)-f(a) h f(a+h)-f(a) h (B) lim h→0™ x-a x-a (C) lim f(x) = f(a) lim f(x) (E) lim f(x)-f(a) exists x-a x-a x-a x-a = lim h→0* (D) lim x-a f(x)-f(a) x-a =
Answers
Based on the analysis, the condition that is not necessary for differentiability is condition lim[x→a] f(x) = f(a). Option C is correct.
Let's analyze each condition to determine which one is not necessary for a function to be differentiable at x = a.
(A) f(x) - f(a) = f(a)
This condition states that the difference quotient at x = a is equal to the value of the function at x = a.
This condition is necessary for differentiability and is known as the differentiability criterion.
(B) lim[h→0] (f(a+h) - f(a)) / (h)
This condition represents the derivative of the function at x = a, which is the limit of the difference quotient as h approaches 0. This condition is necessary for differentiability.
(C) lim[x→a] f(x) = f(a)
This condition states that the function is continuous at x = a. While continuity is closely related to differentiability, it is not necessary for differentiability.
Discontinuities can exist at isolated points and still allow the function to be differentiable at x = a.
(D) lim[h→0] (f(a + h) - f(a)) / (x - a)
This is equivalent to condition (B) and is necessary for differentiability.
(E) lim[x→a] (f(x) - f(a)) / (x - a)
This condition is the definition of the derivative of the function with respect to x evaluated at x = a.
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2) The original price of a scarf was $35. During a store-closing sale, a shopper saved $14 on the scarf. a.) Did the shopper save more or less than 50%? b.) What percentage discount did she receive?
Answers
Answer: 35 times 50% is 17.5 so she got a 40% discount because 35 times 40% equals 14
Step-by-step explanation:
You have to do first 35•50% and get your answer and if it’s not the right number then go up or down and I went down 10 and got 14 when I did 35•40%
Pyramid ABCDE is a square pyramid. What is the lateral area of pyramid ABCDE? 2563√ in² 3843√ in² 5123√ in² 10243√ in² Pyramid A B C D E with vertex A and base B C D E. Angle A C B measures 60 degrees and D C equals 16 inches.
Answers
Answer:
2563 (square root)in^2
Step-by-step explanation:
i took the test
Identify the type of surface represented by the given equation. x ^2/2+ y^2/8 = Z^2/4
a. Hyperbolic b. paraboloid Elliptical cone c. Ellipsoid d. Paraboloid
Answers
The given equation x^2/2 + y^2/8 = z^2/4 represents an elliptical cone, which is a versatile and useful shape with many applications in engineering and architecture.
An elliptical cone is a three-dimensional geometric shape that resembles a cone but has an ellipse as its base instead of a circle. It is formed by connecting all points that are equidistant from a fixed point (the vertex) and a fixed plane (the base ellipse). The equation x^2/2 + y^2/8 = z^2/4 represents an elliptical cone because it has terms involving both x^2 and y^2, which indicates that the cross-sections of the surface perpendicular to the z-axis are ellipses. Additionally, the coefficient of the z^2 term is positive, meaning that the surface opens upwards.
Elliptical cones have a wide range of applications in engineering and architecture. For example, they can be used to design turbine blades, cooling towers, and rocket nozzles. In architecture, elliptical cones can be used to create unique designs for buildings and bridges.
One advantage of using elliptical cones is that they have a variable angle of inclination, making them suitable for applications that require directional control or focusing of energy. Elliptical cones also have a natural strength that makes them ideal for use in load-bearing structures.
In conclusion, the given equation x^2/2 + y^2/8 = z^2/4 represents an elliptical cone, which is a versatile and useful shape with many applications in engineering and architecture.
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Simplify (x - y + 1) - (x + y - 1).
-2y+2
2y - 2
-2x + 2y
O2x - 2y + 2
Answers
Answer:
-2y +2
Step-by-step explanation:
(x - y + 1) - (x + y - 1)
Distribute the minus sign
(x - y + 1) - x - y + 1
Combine like terms
x-x -y-y +1+1
-2y +2
Answer:
2y+2
Step-by-step explanation:
c language
We need to create a race of cars;
Through the following points;
1)User has to type the number of cars that will be in the race. And also type the initial point of each car and the speed
2) We have to find the finishing time and the index of the number one car that reached 1500 miles first, then find the finishing time and index of the second car, and lastly find the slowest car data.
Number of cars : 3
Type the speed: Car [ 0 ] = 15 Car [ 1 ] = 14 Car [ 2 ] = 12
Initial position: Car [ 0 ] at :2 Car [ 1 ] starts at :1 Car [ 2 ] starts at :0
output
1(fastest) car is ... and its final time...
2 finishing car is ... and its final time...
3 (slow) car is ... and its final time...
Answers
In a C program, the user inputs the number, speed, and initial position of cars participating in a race. The program calculates the finishing time and index of the first car to reach 1500 miles, the second car, and the slowest car.
To create a race of cars and determine the finishing times and indices of the cars, we can implement the following C program:
#include <stdio.h>
int main() {
int numCars;
printf("Number of cars: ");
scanf("%d", &numCars);
int speeds[numCars];
int positions[numCars];
int distances[numCars];
int times[numCars];
printf("Type the speed: ");
for (int i = 0; i < numCars; i++) {
printf("Car [%d]: ", i);
scanf("%d", &speeds[i]);
}
printf("Initial positions: ");
for (int i = 0; i < numCars; i++) {
printf("Car [%d] at: ", i);
scanf("%d", &positions[i]);
distances[i] = 1500 - positions[i];
times[i] = distances[i] / speeds[i];
}
int fastestTime = times[0];
int fastestIndex = 0;
int secondTime = times[0];
int secondIndex = 0;
int slowestTime = times[0];
int slowestIndex = 0;
for (int i = 1; i < numCars; i++) {
if (times[i] < fastestTime) {
fastestTime = times[i];
fastestIndex = i;
} else if (times[i] > slowestTime) {
slowestTime = times[i];
slowestIndex = i;
}
if (times[i] > fastestTime && times[i] < secondTime) {
secondTime = times[i];
secondIndex = i;
}
}
printf("1 (fastest) car is Car [%d] and its final time is %d.\n", fastestIndex, fastestTime);
printf("2 finishing car is Car [%d] and its final time is %d.\n", secondIndex, secondTime);
printf("3 (slow) car is Car [%d] and its final time is %d.\n", slowestIndex, slowestTime);
return 0;
}
In this program, we first prompt the user to input the number of cars participating in the race. Then, we ask for the speed of each car and their initial positions.
We calculate the distance each car needs to cover to reach 1500 miles and calculate the corresponding time for each car based on their speed.
Next, we iterate through the times array to find the fastest, second fastest, and slowest cars.
We initialize variables to store the fastest time, its index, the second fastest time, its index, the slowest time, and its index. By comparing the times of each car, we update these variables accordingly.
Finally, we print the results, displaying the index and final time of the fastest, second fastest, and slowest cars.
Note: This program assumes valid inputs from the user, such as positive speeds and positions within the range of 1500 miles.
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What expression would be easier to simplify if you use the associative property to change the grouping?
A.[(-0.2)+(-0.6)]+1.7
B.(2+5/2)+(-1/2)
C.(60+40)+(-27)
D.6+[4/9+(-2/9)]
Answers
Answer:
B
Step-by-step explanation:
2+5/2 is hard to add since first you have to make 2 into a fraction with the denominator 2. If you use the associative property, you can just easily combine -1/2 and 5/2 without any converting into fractions
donald needs to stamp 145 pieces of mail. he has finished 97 pieces. how many more does he have to do?
Answers
To complete the mail, Donald needs to stamp 48 pieces of mail if the total mails are 145 and he has done 97 pieces.
To calculate the number of mail to be stamped, one has to subtract the already stamped mails from the total number of mails.
Total number of mails = 145 mails
Number of mails already stamped = 97 mails
Mails left to be stamped = total number of mails - mails that are already stamped
= 145 - 97
= 48 mails
Thus, Donald has to stamp 48 more mails in order to total mail of 145
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What are the zeros of the function?
f(2）=x^2+12x-28
Answers
Answer:
\( {x}^{2} + 12x - 28 = 0\)
\((x + 14)(x - 2) = 0\)
x = -14, 2
Step-by-step explanation:
x 2+12x−28=0
(�+14)(�−2)=0
(x+14)(x−2)=0
x = -14, 2
Why is it important to center the x value before squaring? Because X-squared is strongly correlated with Because squaring the x values without centering them first reduces the effects of multicollinearity Because the residual plot needs to have a distinct pattern Because centering the x values will straighten the curve of the scatterplot
Answers
Centering x values before squaring eliminates the correlation between x and its square term, reducing multicollinearity. This helps to determine independent effects of predictor variables, and can also straighten the curve of a scatterplot.
Centering the x values before squaring is important because it helps to eliminate the correlation between the x variable and its square term. When we square a variable without centering it, we are essentially capturing the effect of both the linear and the quadratic terms.
This can lead to multicollinearity, which occurs when two or more predictor variables are highly correlated with each other.
Multicollinearity can create problems in statistical analyses because it can make it difficult to determine the independent effects of each predictor variable on the outcome variable. Centering the x values before squaring helps to reduce the effects of multicollinearity by eliminating the correlation between the x variable and its square term.
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Mrs, O'Neil has 2 times as many markers as colored pencils. The total number of markers and colored pencils is 18. How many markers does Mrs. O'Neil have?
Answers
answers for the 2 boxes please
Answers
i’m sorry if that’s not correct
have a great day!:)
Answer:
(4, 22)
Step-by-step explanation:
y = 5x + 2
y = 3x + 10
Since both equations are equal to y, we can have both equations equal to each other).
5x + 2 = 3x + 10
5x + 2 - 3x - 2 = 3x + 10 - 3x - 2
5x - 3x = 10 - 2
2x = 8
2x/2 = 8/2
x = 4
(Substitute the x value to any equation to solve for y).
y = 5x + 2
y = 5(4) + 2
y = 20 + 2
y = 22
So, the answer is (4, 22).
Hope this helped! <3
NEED HELP ASAP NO LINKS!!!!!!!!!!!!!!!!!!!!!!
Katherine just started a running plan where she runs 8 miles the first week and then increases the number of miles she runs by 5% each week. If she keeps up this plan for 19 weeks, how many total miles would Katherine have run, to the nearest whole number?
Answers
Answer:
I THINK I GOT IT!!! I think by 19 weeks (rounding) she will have to run 1 extra mile or 95 percent more!!!!!!!
Step-by-step explanation:Please do not blame me if its wrong i only thought about for like 1 min!
A) SSS
B) SAS
C) Not enough information
D) AAS
Answers
Answer:
c
Step-by-step explanation:
What is the nineteenth term in the sequence 7, 10, 13, 16, …?
Answers
Answer:
61
Step-by-step explanation:
hope this helps
b. Ciera has $28. Could she buy 2 adult tickets and 7 child tickets? Use your equation from part a. to show
your work.
Answers
Answer: yes
your welcome
Step-by-step explanation:
Two water heater tanks are leaking. Tank A has leaked 3/17 of a gallon in 5/12 minutes, and Tank B has leaked 5/70 of a gallon in 7/30 minutes.
Which tank is leaking faster?
Answers
Answer:
tank a
Step-by-step explanation:
I need to know what 22.93 is to 1 decimal place
Answers
Answer:
It's 22.9, all you need to do is round the number
Step-by-step explanation:
Answer:22.93 --> 2.293 or 229.30
Step-by-step explanation:
Given BE ≅ BD and AD ≅ CE, prove triangle ABE ≅ triangle CBD
Answers
Answer: To prove that triangle ABE is congruent to triangle CBD, we will use the SAS (Side-Angle-Side) Congruence Theorem.
This theorem states that if two triangles have two sides and the included angle congruent, then the triangles are congruent.
Given:
BE ≅ BD (congruent sides)
AD ≅ CE (congruent sides)
We have congruent sides AB and BC, and congruent angles A and C (included angles)
By SAS congruence theorem, we can prove that:
Triangle ABE ≅ triangle CBD
Therefore, triangle ABE is congruent to triangle CBD
Alternatively, if we use the ASA (Angle-Side-Angle) congruence theorem, where we have congruent angles and congruent sides between those angles, we can also prove that triangle ABE ≅ triangle CBD
Step-by-step explanation:
The points F(1,2)(1,2), G(5,2)(5,2), H(8,9)(8,9), and I(4,9)(4,9) form parallelogram FGHI. Then find the perimeter of the parallelogram. Round your answer to the nearest tenth if necessary.
Answers
The required perimeter of parallelogram FGHI is approximately 17.5 units.
To find the perimeter of parallelogram FGHI, we need to find the length of all four sides and add them together.
First, we can find the length of side FG by using the distance formula:
FG = √[(5-1)² + (2-2)²] = √16 = 4
Similarly, we can find the length of side HI:
HI = √[(8-4)² + (9-9)²] = √16 = 4
Since FG and HI are opposite sides of a parallelogram, they have the same length.
Next, we can find the length of side GH:
GH = √[(8-5)² + (9-2)²] = √74
Finally, we can find the length of side IF:
IF = √[(4-1)² + (9-2)²] = √74
Since GH and IF are also opposite sides of a parallelogram, they have the same length.
So the perimeter of parallelogram FGHI is:
Perimeter = FG + GH + HI + IF
Perimeter = 4 + √74 + 4 + √74
Perimeter ≈ 17.5 (rounded to the nearest tenth)
Therefore, the perimeter of parallelogram FGHI is approximately 17.5 units.
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help please i know there are answers just put the right ones
Answers
The correct options for the values of a and b in the equation are a = 2 and b = -3/4
How to evaluate for the values of a and b in the equationWe shall use the negative sign before the bracket at the left hand side of the equation to open bracket as follows;
-(-2 + 3/3) = (- × -2) + (- × 3/4)
-(-2 + 3/3) = (+2) +(-3/4)
so the equation becomes;
7/8 -(-2 + 3/3) = (+2) +(-3/4) + 7/8.
Therefore, the correct options for the values of a and b in the equation are a = 2 and b = -3/4
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If a = 7, b = -3 and c = 2, the 2nd degree equation that corresponds to these coefficients is: 2x(x+1) + 5x² - 5x = - 2 2x² + 7x - 5 = 0 3x² -7 = 0 4(x² + 7) - 3x - 7 = 0 None of the above.
Answers
Answer:
2x(x+1) + 5x² - 5x= - 2
Step-by-step explanation:
a=7
b=-3
c=2
2nd degree equation is written as
ax^2+bx+c=0
2x(x+1) + 5x² - 5x= - 2
2x^2+2x+5x^2-5x=-2
Collect like terms
2x^2+5x^2+2x-5x+2=0
7x^2-3x+2=0
a=7, b=-3, c=2
Therefore, the 2nd degree equation that corresponds with the above coefficients is 2x(x+1) + 5x² - 5x= - 2
Which of the numbers below is greater than 12? Select all that apply.
A) −1/2
B) 3/2
C) 2.3
D) 1/8
E) −2.5
Answers
Answer: B and C
Step-by-step explanation:
Answer:
B and C
Explanation:
The negative numbers are never greater than positive numbers. In this case, we don't consider the negative ones but focus on the positive numbers.
So, 3/2 and 2.3 are greater than 1/2.
D cannot be a part of the answer because the denominator is too big.
Use the distributive property to write an equivalent expression for 12+18.
PLS HELP
Answers
Answer:
6(2+3)
Step-by-step explanation:
6x2=12
6x3=18
12+18
Which of the following sets of numbers could not represent the three sides of a triangle?
Answers
Answer:
Correct answer is option C
( 15 , 21 , 33 )
Step-by-step explanation:
hope it helps
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
Answers
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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