All categories

3 years ago

Find the length of a segment with endpoints Y(2, 8) and Z(- 2, 5) .

Mathematics

1 answer:

Andrej [43]3 years ago

3 0

<em>The distance the length of a segment with endpoints Y(2, 8) and Z(-2, 5) is 5 units</em>

<h2>Explanation:</h2>

Endpoints of a Line segments are places where they end or stop. Line segments are named after their endpoints. In this case, those endpoints are Y and Z, so the line segment would be:

$\overline{YZ} \ or \ \overline{ZY}$

To find the length of this segment with endpoints Y(2, 8) and Z(-2, 5), let's use the Distance Formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

$Let's \ write: \\ \\ Y(x_{1},y_{1}) \rightarrow Y(2, 8) \\ \\ Z(x_{2},y_{2}) \rightarrow (-2, 5) \\ \\ \\ Substituting: \\ \\ d=\sqrt{(-2-2))^2+(5-8)}^2 \\ \\ d=\sqrt{(-4)^2+(-3)^2} \\ \\ d=\sqrt{16+9} \\ \\ d=\sqrt{25} \\ \\ \boxed{d=5}$

Finally, <em>the distance the length of a segment with endpoints Y(2, 8) and Z(-2, 5) is 5 units</em>

<h2>Learn more:</h2>

Distance Formula: brainly.com/question/10134840

#LearnWithBrainly

You might be interested in

g A bag contains 9 w h i t e marbles, 7 y e l l o w marbles, and 8 g r e e n marbles. If two different marbles are drawn from th

Mazyrski [523]

Answer:

Step-by-step explanation:

There are 24 marbles in the bag.

So,

There are 17 marbles that are either white and green.

Therefore,

"the probability of drawing a white marble" is 9/24

=0.375 or approximately as 37.5%.

Probability of drawing first white marble from the bag.

Now,

"The probability of drawing a green marble" is 8/24

=0.333 or approximately as 33.3%.

Probability of drawing a green marble.

3 0

4 years ago

Choose the equation that satisfies the data in the table.

pychu [463]

The linear equation that satisfy the data in the table is: A. y = −4x − 4.

<h3>How to Find the Linear Equation for a Data in a Table?</h3>

Given the table attached below, find the slope (m) = change in y / change in x using two pairs of values, say, (-1, 0) and (0, -4):

Slope (m) = (-4 - 0)/(0 - (-1)) = -4/1 = -4

Find the y-intercept (b), which is the value of y when x = 0. From the table, when x = 0, y = -4.

b = -4.

Substitute m = -4 and b = -4 into y = mx + b

y = -4x + (-4)

y = -4x - 4

The equation that satisfy the data is: A. y = −4x − 4.

Learn more about the linear equation on:

brainly.com/question/4074386

#SPJ1

7 0

2 years ago

A while back , either James borrowed $12 from his friend Rita or she borrowed $12 from him , but he can’t quite remember which e

Tema [17]

Answer:

Step-by-step explanation:

He has 42.80

Call x the amount that he will have

If he pays 12 to Rita, x = 42.80 - 12

If he receives 12 from Rita, x = 42.80 + 12

From the first equality

x - 42.8 = -12

From the second equality

x - 42.8 = +12

Then |x - 42.80| = 12

3 0

3 years ago

Read 2 more answers

A football is kicked from the ground and follows the graph of the function y = –t2 + 3t, where y represents height and t represe

vesna_86 [32]

Answer:

The height of the objects are the same after 2 seconds.

Step-by-step explanation:

In order to calculate at which time both objects have the same height we need to find the value of t that makes both equations equal. Therefore:

$-t^2 + 3t = -t + 4\\t^2 - 3t - t + 4 = 0\\t^2 - 4t + 4 = 0\\t_{1,2} = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*4}}{2*1} = \frac{4 \pm \sqrt{16 - 16}}{2}\\t_{1,2} = \frac{4}{2} = 2$

The height of the objects are the same after 2 seconds.

8 0

3 years ago

Pls answer too the problem

astra-53 [7]

Answer:

your answer is c

Step-by-step explanation:

7 0

4 years ago