What points can be found on the line 2y=3x+4

What is the coordinate of point Z after translating it 7 units down and then translating it 8 units right

Using translation concepts, the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:

Z'(x + 8, y - 7).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the translations are given as follows:

8 units right, hence x -> x + 8.

7 units down, hence y -> y - 7.

Hence the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:

Z'(x + 8, y - 7).

More can be learned about translation concepts at brainly.com/question/28351549

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3 0

1 year ago

What is the slope for these two (8,3) (10,5)

cluponka [151]

Use the slope formula
M=y2-y1/x2-x1
M=5-3/10-8
M=2/2
M=1

8 0

3 years ago

Read 2 more answers

What type of triangle is pictured?

My name is Ann [436]

I think the answer is C

6 0

3 years ago

Lyle is camping at a campground. Lyle's cabin is represented by the point (-27,23). The dining hall is located 21 meters east an

Sergeeva-Olga [200]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{\textit{Lyle's cabin}}{(\stackrel{x_1}{-27}~,~\stackrel{y_1}{23})}\qquad \stackrel{\textit{dining hall}}{(\stackrel{x_2}{-6}~,~\stackrel{y_2}{3})}\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-6-(-27)]^2+[3-23]^2}\implies d=\sqrt{(-6+27)^2+(3-23)^2} \\\\\\ d=\sqrt{21^2+(-20)^2}\implies d=\sqrt{841}\implies d=29$

8 0

2 years ago

The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean s

a_sh-v [17]

Answer:

Null Hypothesis, $H_0$ : $\mu \leq$ 14 automobiles per month

Alternate Hypothesis, $H_a$ : $\mu$ > 14 automobiles per month

Step-by-step explanation:

We are given that the manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 14 automobiles per month.

The manager wants to conduct a research study to see whether the new bonus plan increases sales volume.

Let $\mu$ = population mean sales volume after the new bonus plan

So, Null Hypothesis, $H_0$ : $\mu \leq$ 14 automobiles per month

Alternate Hypothesis, $H_a$ : $\mu$ > 14 automobiles per month

Here, null hypothesis states that the new bonus plan does not increase the sales volume as the sales is less than or equal to 14 automobiles per month.

And alternate hypothesis states that the new bonus plan increases the sales volume as the sales is more than 14 automobiles per month.

Now, conclusion on when the null hypothesis ( $H_0$ ) can be rejected and when it cannot be rejected is based on two perspectives;

From test statistics point of view;

If the test statistics is more than the critical value of any respective distribution, then we will reject our null hypothesis.

If the test statistics is less than the critical value of any respective distribution, then we cannot reject our null hypothesis.

2. From P-value point of view;

If the p-value of the test statistics is more than level of significance ( $\alpha$ ), then we will not reject our null hypothesis.

If the p-value of the test statistics is less than level of significance ( $\alpha$ ), then we will reject our null hypothesis.

4 0

2 years ago