3x +y = -2x+8
-3x+2y=-10
If (x,y) is a solution to the system of equations
above, what is the value of xy?

a) -16
b) -8
c) -4
d) 4

The measure of the complement of the angle is A) 54.

Given:

The ratio of the measure of the supplement of an angle to that of a complement of the angle is 8:3.

Let x be the angle.

supplement of the angle of x is = 180-x

complement of the angle of x is = 90 -x

180 - x / 90 -x = 8/3

3(180-x) = 8(90-x)

3*180 - 3*x = 8*90 - 8*x

540 - 3x = 720 - 8x

-3x+8x = 720 - 540

5x = 180

divide by 5 on both sides

x = 180/5

x = 36

Complement of the angle = 90 - 36

= 54

Learn more about the measure here:

https://brainly.com/question/12020266

#SPJ4

The angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have shown a right-angle triangle in the picture.

In the right angle triangle, ABC

The angle BAC = 55 degree

Angle BAA' = 90 degree

In the figure, the angle of depression = CAA'

= BAA' - BAC

= 90 - 55

= 35 degree

Thus, the angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

Answer:

no solutions

Step-by-step explanation:

6n - 6n - 12 = 14 - 2 = 12 ( add 12 to both sides )

0 = 24 ← not possible

this indicates the equation has no solution

To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient. This value ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

The closer the coefficient is to -1 or 1, the stronger the correlation, while values near 0 indicate a weak or no correlation. Positive correlation, negative correlation, and no correlation are types of relationships between two variables.

Positive correlation (A) means that both variables tend to increase (or decrease) together. When one variable increases, the other also increases, and when one decreases, the other also decreases.

Negative correlation (B) means that two variables tend to change in opposite directions, with one increasing while the other decreases. When one variable increases, the other tends to decrease, and vice versa.

No correlation (A) means that there is no apparent relationship between the two variables. The changes in one variable do not seem to consistently affect the changes in the other variable.

To know more about strength of a correlation visit:
https://brainly.com/question/30777155

#SPJ11

Answer:

≈ 197 students

Step-by-step explanation:

Let's start by writing what we know.

150 students sampled

68 prefer soccer

59 prefer basketball

23 prefer swimming

Part A

If 59 students prefer basketball out of the 150 students sampled then we divide 59/150 in order to get the percentage of students that prefer basketball.

59/150 ≈ 39.33%       Remember this is only a sample of the students so it is approximate.

Now that we have the percentage, we can multiply it by the entire student body to get an approximate number of all students that prefer basketball.

39.33% = .3933

.3933 * 500 = 196.66  ≈ 197 students   (because we can't have a partial student we round up)

The best approximation of the number of students in the school who prefer basketball is 197.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The results from a random sample of 150 students' after-school activities at a school are shown.

68 students prefer soccer. 59 students prefer basketball. 23 students prefer swimming.

The percentage of students who prefer soccer will be

\(\rightarrow \dfrac{68}{150} = \dfrac{34}{75}\)

The percentage of students who prefer basketball will be

\(\rightarrow \dfrac{59}{150}\)

The percentage of students who prefer swimming will be

\(\rightarrow \dfrac{23}{150}\)

If there are a total of 500 students in the school. Then the best approximation for how many students in the school prefer basketball will be

\(\rightarrow \dfrac{59}{150} \times 500 = 196.667 \approx 197\)

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

p=2

Step-by-step explanation:

8n + 16 = 8n + 8p

subtract 8n

16=8p

divide both sides by 8

p = 2

To find the value of p that sets the expression equal to each other:

  ⇒ must set both equations equal to each other, like such:

            \(8(n+2)=(n+p)8\\8n+16=8n+8p\\8n+16-8n=8p\\16=8p\\8p=16\\p=2\)

Thus the value of p so that the expression 8(n + 2) is equivalent to (n + p)8​ is 2

Answer: 2

Hope that helps!

Answer:

f(x)=3√x f ( x ) = x 3

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Luckily, we don't need to use the distance formula as we just need to find the distance between the x-coordinates. Thus, |4-9| = |-5| = 5, which means that the distance between (4,-3) and (9,-3) is 5 units

Answer:

5

Step-by-step explanation:

Point (4, -3) and point (9, -3) have the same y-coordinate of -3.  Therefore, both points are on the line y = -3.

Any line that is y = {number} is a horizontal line.

Therefore, to find the distance between the points, find the difference between the x-values:

9 - 4 = 5

Therefore, the distance between (4, −3) and (9, −3) is 5

Answer:

4m

Step-by-step explanation:

please mark me as brainlest is

Answer:

4m

Step-by-step explanation:

m + m + m + m

We have 4 letter m's

4m

where are the points below? i cant do anything if there isnt numbers or anything to work with

The value of x in given triangle is 9 i.e. C.

What is a triangle?

A triangle is a three-sided polygon that has three vertices (or corners) and three angles. Triangles are the simplest polygon, and they can be classified based on their side lengths and angle measures.

There are several ways to classify triangles based on their sides:

Equilateral triangle: A triangle having three sides which are  of equal length.

Isosceles triangle: A triangle with two sides of equal length.

Scalene triangle: A triangle with no sides of equal length.

Now,

For given triangle as the ratio of two sides is

44:44 and 21:21 =1:1

then

3x-2=25

3x=27

x=9

hence,

          The value of x is equal to 9.

To know more about triangles visit the link

brainly.com/question/2773823

#SPJ1

Answer:

56

Step-by-step explanation:

complementary angles are complement each other to 90

90-34=56

Answer:

56

Step-by-step explanation:

Complementary are angles that adds up to 90.

34 + 56  =  90

Therefore, 56 is the answer

Answer-

Not quite sure what your asking but the if I understood correctly the answer is -122z+56

Answer:

−112z+56

Step-by-step explanation:

−56z+28−56z+28

Combine −56z and −56z to get −112z.

−112z+28+28

Add 28 and 28 to get 56.

−112z+56

beep bop boop bleep bloop i is bored lol

Answer: Y= -5x+4

Step-by-step explanation:

Answer:

Accept the null hypothesis

Step-by-step explanation:

It leads to the conclusion to accept the null hypothesis.

The upper value corresponds to 1 – 0.025, or 0.975, which gives a z‐value of 1.96. The null hypothesis of no difference will be rejected if the computed z statistic falls outside the range of –1.96 to 1.96.

#SPJ4

Learn more about null hypothesis

https://brainly.com/question/20165896

Main Answer:The correct answer is "equality of three or more population means."

Supporting Question and Answer:

What is the purpose of the one-way analysis of variance (ANOVA) test?

ANOVA helps to assess whether these differences are statistically significant by comparing the variation between the groups to the variation within the groups.

Body of the Solution:The one-way analysis of variance (ANOVA) is used to test for" the equality of three or more population means". ANOVA compares the variation between the groups (due to differences in means) to the variation within the groups (due to individual differences within each group) to assess whether the observed differences in means are statistically significant. Therefore, the correct answer is:

"equality of three or more population means."

To learn more about the purpose of the one-way analysis of variance (ANOVA) test from the given link

https://brainly.com/question/15084465

#SPJ4

Two circles intersect at points A and B and have a common external tangent that is tangent to the circles at points T and U, M be the intersection of line AB and TU. If AB = 9 and BM = 3, then TU will be equal to 9.6.

In order to find the length of TU, We can use the Pythagorean theorem to find the length of TU. We know that AB = 9, and BM = 3, so the length of AM must be 6. We can then use the Pythagorean theorem to solve for TU:

TU = √(62 + 92) = √93 = 9.6.

Therefore, the length of TU is 9.6.

You can learn more about external tangents at: brainly.com/question/13005496

#SPJ11

a. We want to prove that if \(\(u\)\) is a solution of \(\(Ax = b\)\), then \(\(v = u - c\)\) is a solution of \(\(Ax = 0\)\).

Given that \(\(u\)\) is a solution of \(\(Ax = b\)\), we have \(\(Au = b\)\). Subtracting \(\(c\)\) from both sides of the equation, we get \(\(Au - c = b - c\)\). Rearranging, we have \(\(Au - c = 0\)\).

Now let's substitute \(\(v = u - c\)\) into the equation. We have \(\(Av = (u - c)\)\). Distributing, we get \(\(Av = Au - Ac\)\).

Since\(\(Au = b\)\) from the assumption, we can rewrite the equation as \(\(Av = b - Ac\)\). However, notice that \(\(b - Ac\)\) is equal to \(\(b\)\) since \(\(c\)\) is a solution of \(\(Ax = b\)\). Therefore, we have \(\(Av = b\).\)

Hence, we have shown that if \(\(u\)\) is a solution of \(\(Ax = b\)\), then \(\(v = u - c\)\) is a solution of \(\(Ax = 0\)\).

b. We want to prove that if \(\(v\)\) is a solution of \(\(Ax = 0\)\), then \(\(u = v + c\)\) is a solution of \(\(Ax = b\)\).

Given that \(\(v\)\) is a solution of \(\(Ax = 0\)\), we have \(\(Av = 0\)\). Adding \(\(c\)\) to both sides of the equation, we get \(\(Av + c = c\)\). Rearranging, we have \(\(Av + c = b\).\)

Now let's substitute \(\(u = v + c\)\) into the equation. We have \(\(Au = (v + c)\)\). Distributing, we get \(\(Au = Av + Ac\)\).

Since \(\(Av = 0\)\) from the assumption, we can rewrite the equation as \(\(Au = Ac\)\). However, notice that \(\(Ac\)\) is equal to \(\(b\)\) since \(\(c\)\) is a solution of \(\(Ax = b\)\). Therefore, we have \(\(Au = b\)\).

Hence, we have shown that if \(\(v\)\) is a solution of \(\(Ax = 0\)\), then \(\(u = v + c\)\) is a solution of \(\(Ax = b\)\).

Therefore, we have proven both parts (a) and (b).

To know more about Equation visit-

brainly.com/question/14686792

#SPJ11

Answer:

30,246

Step-by-step explanation:

multiply the two numbers

The value of x° which is the missing angle in the given triangle above would be = 25°

To calculate the value of the missing angle of the triangle, the following steps needs to be taken as follows:

The total angle on a straight line = 180°

Therefore the angle opposite the acute angle of the triangle = 180-115 = 65°

But the total interior angle of a triangle = 180°

Therefore x° = 180-(65+90)

= 180-155

= 25°

Learn more about triangle here:

https://brainly.com/question/28470545

#SPJ1

Answer:

The change was 32.8 degrees.

Step-by-step explanation:

Quite a lot. Very unusual.

-12.5 to 20.3

You need to add 12.5 just to get to 0. Then you add 20.3 to get the high temperature, So the answer is 12.5 + 20.3 = 32.8. That in centigrade would be a huge move. In Fahrenheit not so much but still pretty big.

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

Learn more about graph from

https://brainly.com/question/19040584

#SPJ11

Answer:

d(p1,p2)=√9.04 units.

Explanation:

The distance between two points is calculated using the formula:

Given the two points:

Substitute into the formula given above:

The distance between points p and p2 is √9.04 units.

The graph depicting the linear equation y = 1/2 x + 2 corresponds to a straight line that passes through the coordinates (-4, 0) and (0, 2). (option 2)

Consider the given linear equation: y = 1/2x + 2.

Let's determine the slope and y-intercept for each line presented in the options.

In option 1, We see the coordinates (0, -2).

The y-intercept of this line is \(-2\), which does not align with the desired y-intercept.

Now turning to the second option, we are provided with the points \((-4, 0)\) and \((0, 2)\).

Given that we have the point \((0, 2)\), we can establish that the y-intercept of the line is 2.

To calculate the slope, we employ the formula: \(m = (y2 - y1) / (x2 - x1)\). Substituting the given points into the equation, we derive:

\(m = (2 - 0) / (0 - (-4)) = 2 / 4 = 1/2\)

The line in the second option corresponds to the desired line, possessing both the required slope and y-intercept.

Learn about linear equation here https://brainly.com/question/12788590

#SPJ1

Complete question:

what graph represents the linear equation y=1/2x+2 on the coordinate plane?

Based on both the p-value method and the critical value method, we fail to reject the null hypothesis and cannot infer that the two groups differ in the mean number of pictures printed.

To determine if the two groups (digital camera owners and standard camera owners) differ in the mean number of pictures printed, we can conduct a hypothesis test using both the p-value method and the critical value method.

Let's define our hypotheses:

Null Hypothesis (\(H_0\)): The mean number of pictures printed is the same for both groups.

Alternative Hypothesis (\(H_1\)): The mean number of pictures printed differs between the two groups.

We'll use a significance level of 0.05 (5%).

First, let's calculate the test statistic for the two-sample t-test using the provided summary statistics:

Digital:

Mean = 18.25

Standard Deviation = 6.5

Sample Size = 8

Standard:

Mean = 16.5

Standard Deviation = 19.2

Sample Size = 8

Using the formula for the two-sample t-test, the test statistic (t) is given by:

\(t = (mean_1 - mean_2) / \sqrt{(s_1^2/n_1) + (s_2^2/n_2)}\)

Substituting the values, we have:

\(t = (18.25 - 16.5) / \sqrt{(6.5^2/8) + (19.2^2/8)}\)

t ≈ 0.75

Now, let's perform the hypothesis test using both methods:

1) P-value Method:

Using the t-distribution with \((n_1 + n_2 - 2)\) degrees of freedom, we can calculate the p-value associated with the test statistic.

The p-value is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.

Using a t-table or statistical software, we find that the p-value corresponding to t ≈ 0.75 is approximately 0.47.

Since the p-value (0.47) is greater than the significance level (0.05), we fail to reject the null hypothesis. There is not enough evidence to conclude that the mean number of pictures printed differs between the two groups.

2) Critical Value Method:

Using the t-distribution with \((n_1 + n_2 - 2)\) degrees of freedom and a significance level of 0.05, we can find the critical value.

The critical value is the value beyond which we would reject the null hypothesis.

For a two-tailed test at a 5% significance level and 14 degrees of freedom (8 + 8 - 2), the critical value is approximately ±2.145.

Since the test statistic (0.75) does not exceed the critical value (±2.145), we fail to reject the null hypothesis. There is not enough evidence to conclude that the mean number of pictures printed differs between the two groups.

In conclusion, based on both the p-value method and the critical value method, we do not have sufficient evidence to infer that the two groups differ in the mean number of pictures printed.

To know more about p-value, refer here:

https://brainly.com/question/2424080

#SPJ4

The given expression :

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

Learn more about inscribed angle theorems on:

https://brainly.com/question/30494878

Answer:

The value of the constant in the equation below is 20.

Step-by-step explanation:

You are given the formula height = constant/width. All you have to do is take one of the points given on the graph and plug it in to the formula.

Example:

1 = Constant/20

Constant = 20

As per linear equation, the Constant in the given graph is 20.

A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.

Here, Height = Constant/Width

Therefore, Constant = Height × Width

We can take any two random points given on the graph.

Two points are (5, 4) and (20, 1).

For the first point,

Height = 4, Width = 5.

Therefore, Constant = 4 × 5 = 20

For the second point,

Height = 1, Width = 20.

Therefore, Constant = 1 × 20 = 20

Therefore, Constant in the given graph is 20.

Learn more about a linear equation here: https://brainly.com/question/16256194

#SPJ3