What is the distance, in units, between A(-4,1) and C(-4,-3)?

A triangle is dilated with the center of dilation at point U. Point E is a vertex of the triangle and point E ′ E' is the corres

Snezhnost [94]

Answer: $scale\ factor=5$

Step-by-step explanation:

By definition, a Dilation is a transformation in which the image has the same shape as the pre-image but size changes.

The center of dilation is a fixed point in the plane, and the scale factor is the ratio of the corresponding sides of the image to the pre-image.

Based on the information provided in the exercise, you know that:

$UE = 2\ cm\\\\U'E'=10\ cm$

Thererefore, you can determine that the scale factor is:

$scale\ factor=\frac{10\ cm}{2\ cm}\\\\scale\ factor=5$

4 0

4 years ago

Help me with this pls show work

svp [43]

3x + y = 10

x - 4y = -1

Multiply the 2nd equation by -3

-3x +12y = 3

Add the 1st equation to the 3rd equation:

13y = 13

Divide both sides by 13:

y = 1

Answer: A) 1

7 0

3 years ago

Read 2 more answers

What is the engljsh phrases of 9y?

slava [35]

Answer:

Nine times y? Y=x/9? Not sure what your question is exactly.

Step-by-step explanation:

6 0

3 years ago

You are playing a board game with a spinner that has numbers 1, 2, 3, and 4 on

Whitepunk [10]

Answer:

1/4

Step-by-step explanation:

Let x = number the spinner lands on

P(X = 1) = 1/4

P(X = 2) = 1/4

P(X = 3) = 1/4

P(X = 4) = 1/4

The spins are independent events as their probabilities are not affected by whether or not the other event happens

Therefore, the probability that you land on a number 2 given that your first spin landed on number 1 is still 1/4

6 0

3 years ago

A survey recently reported that the mean national annual expenditure for inpatient and outpatient services of all persons over 6

zlopas [31]

Using the z-distribution, it is found that the p-value for this test is of 0.0375.

At the null hypothesis, it is tested if the expenses are the same as the national average, that is, of $5,423. Hence:

$H_0: \mu = 5423$

At the alternative hypothesis, it is tested if it is higher, hence:

$H_1: \mu > 5423$

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
$\sigma$ is the standard deviation of the sample.
n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 5516, \mu = 5423, \sigma = 979, n = 352$

The value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{5516 - 5423}{\frac{979}{\sqrt{352}}}$

$z = 1.78$

The p-value is the probability of finding a sample mean above $5,516, which is 1 subtracted by the p-value of z = 1.78.

Looking at the z-table, z = 1.78 has a p-value of 0.9625.

1 - 0.9625 = 0.0375

Hence, the p-value for this test is of 0.0375.

A similar problem is given at brainly.com/question/25549474

7 0

3 years ago