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Ahat [919]
2 years ago
8

Which answer shows a reflection across the y-axis? A B C D

Mathematics
2 answers:
PilotLPTM [1.2K]2 years ago
4 0
The answer can also be c
padilas [110]2 years ago
3 0

Answer:

D

Step-by-step explanation:

The y axis is the vertical axis; the one going up and down.

A reflection means that a point is an equal distance away from its reflector as the basis was.

A was a reflection across the line y=x.

B was a reflection across the x axis with a 90 degree rotation.

C was a reflection across the x axis.

That leaves D.

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Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work. |4x+3| = 9+2x
GaryK [48]

Answer:

Step-by-step explanation:

|4x + 3| = 9 + 2x

We see the absolute value so we have to consider 2 cases:

(1)

4x + 3 = -9 - 2x

6x = -12

x = -2

(2)

4x + 3 = 9 + 2x

2x = 6

x = 3

Let's plug in both results.

|4(-2) + 3| = 9 + 2(-2)

|-5| = 9 - 4

5 = 5

Therefore x = -2 is a solution

|4(3) + 3| = 9 + 2(3)

|15| = 9 + 6

15 = 15

Therefore x = 3 is also a solution.

3 0
3 years ago
PLEASE HELP!!!!!!!! IMAGE ATTACHED!!!!
erma4kov [3.2K]

Answer:

Step-by-step explanation:

4) (-2,3)   ;  (-1,-2)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-3}{-1-[-2]}\\\\=\frac{-5}{-1+2}\\\\=\frac{-5}{1}\\\\=-5

5) line is parallel to x-axis. So, slope= 0

6) (1,1) ;  (-2, -1)

Slope=\frac{-1-1}{-2-1}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}

6 0
3 years ago
The average national utility price is $270.48. Over a 6-month period, what is the average utility price in Orlando? How does thi
Svetllana [295]

Answer:

B.

Step-by-step explanation:

6 0
3 years ago
Which expression gives the distance between the points
Anna35 [415]

Answer:

  D.  √((2 +4)² +(5 -8)²)

Step-by-step explanation:

The distance is found using the formula ...

  d = √((x1 -x2)² +(y1 -y2)²)

Selection D has this formula properly filled in with the values ...

  (x1, y1) = (2, 5)

  (x2, y2) = (-4, 8)

6 0
3 years ago
What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth. Explain your answer.
11Alexandr11 [23.1K]

Answer:

A 7.81

Step-by-step explanation:

Use the distance formula to find the distance between coordinates.

d = \sqrt{(2--4)^2 + (5-0)^2} \\d = \sqrt{(2+4)^2 + (5)^2} \\d = \sqrt{(6)^2 + (5)^2} \\d = \sqrt{36 + 25} \\d = \sqrt{61} \\d=7.81

5 0
3 years ago
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