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4 years ago

The point (5, -3) is reflected over the y-axis. What is the x-coordinate after the reflection?

Mathematics

1 answer:

inn [45]4 years ago

3 0

Answer:

-5

Step-by-step explanation:

Use a sheet a graph paper to assist you.

The original point (5,-3) reflected across the y-axis changes the x and y coordinates. 5 becomes -5 and -3 stays the same.

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Answer: use photo math if u are virtually

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4 years ago

I need help plsss idk how to do this

Step2247 [10]

Answer:

(1) . -11

Step-by-step explanation:

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3 years ago

Item 15 Question 1 Show that quadrilateral WXYZ with vertices W(−1,6), X(2, 8), Y(1, 0), and Z(−2,−2) is a parallelogram by find

Aliun [14]

Answer:

Multiple answers

Step-by-step explanation:

A parallelogram is a flat shape that has four sides. The two sets of opposite sides are parallel and of equal length to each other.

To prove that our figure is a parallelogram we first get the slope of our sides.

The formule we use to get the slope is:

m = $\frac{y-y1}{x-x1}$

first we have the W-Z side that it's supossed to be parallel to X-Y side

if we use our formule to calculate the slope of W-Z:

$\frac{6-(-2)}{-1-(-2)}$ = $\frac{8}{1}$ = 8

if we use our formule to calculate the slope of X-Y:

$\frac{8-0}{2-1}$ = $\frac{8}{1}$ = 8

We know that parallel lines will never intersect because they have the same slope, therefore W-Z side is parallel to X-Y side

2. Then we have the W-X side that it's supossed to be parallel to Z-Y side

if we use our formule to calculate the slope of W-X:

$\frac{6-8}{-1-2}$ = $\frac{-2}{-3}$

if we use our formule to calculate the slope of Z-Y:

$\frac{-2-0}{-2-1}$ = $\frac{-2}{-3}$

We know that parallel lines will never intersect because they have the same slope, therefore W-X side is parallel to Z-Y side

Then we have to prove that the parallalel sides are equal length to each other.

The formule we use to get the distance between two points is:

$\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }$

We calculate the lenght of the W-Z side that it's supossed to be equal to X-Y side:

W-Z = $\sqrt{(-1-(-2))^{2}+(6-(-2))^{2} }$ = $\sqrt{65}$

X-Y = $\sqrt{(2-1)^{2}+(8-0)^{2} }$ = $\sqrt{65}$

So the W-Z side have the same lenght to X-Y side.

We calculate the lenght of the W-X side that it's supossed to be equal to Z-Y side:

W-X = $\sqrt{(-1-2)^{2}+(6-8)^{2} }$ = $\sqrt{13}$

Z-Y = $\sqrt{(-2-1)^{2}+(-2-0)^{2} }$ = $\sqrt{13}$

So the W-X side have the same lenght to Z-Y side.

6 0

3 years ago

In the past, the mean running time for a certain type of flashlight battery has been 9.7 hours. The manufacturer has introduced

Nadya [2.5K]

Answer:

Step-by-step explanation:

From the information given:

$\mathbf{H_o: \mu = 9.7 \ hours}$

$\mathbf{H_1: \mu > 9.7 \ hours}$

The type 1 error is rejecting $\mathbf{H_o}$ when

The meaning of Type 1 error is rejecting the claim that the mean running time is 9.7 hours when actually the mean running time is greater than 9. 7 hour.

6 0

3 years ago

In our school Auditorium 1/6 of the students are 5th graders, 1/3 are fourth graders, and 1/4 of the remaining students are 2nd

Galina-37 [17]

5th graders: $\frac{1}{6}$ x 96 = 16

4th graders: $\frac{1}{3}$ x 96 = 32

Remaining students: 96 - 16 - 32 = 48

2nd graders: $\frac{1}{4}$ x 48 = 12

Answer: 12 students

*********************************************************************************************

here is a breakdown by grade level:

5th graders = 16, 4th graders = 32, 2nd graders = 12, all other grades = 36

6 0

4 years ago