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3 years ago

Triangle Abc has vertices A(-2,5),B(1,0),andC(6,-2).what are the coordinates of the vertices of A’B’C for Ry-axis?

Mathematics

1 answer:

Andreyy893 years ago

4 0

Answer:

A'(2,5),B'(-1,0),C'(-6,-2)

Step-by-step explanation:

we know that

The rule of the reflection of a point across the y-axis is equal to

(x,y) -----> (-x,y)

Applying the rule of the reflection across the y-axis

A(-2,5) ----> A'(2,5)

B(1,0) -----> B'(-1,0)

C(6,-2) ---> C'(-6,-2)

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1 year ago

Shannon earned $12.75 per hour plus an additional $100 in tips waiting tables on Saturday evening. She earned $235 in all. To th

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Answer:

The least number of hours that she would have to work is 11.

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3 years ago

Which ordered pairs are solutions to the inequality 2x+y>−4?

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we will proceed to resolve each case to determine the solution

we have

$2x+y>-4$

$y>-2x-4$

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) $(5,-12)$

Substitute the value of x and y in the inequality

$-12>-2*5-4$

$-12>-14$ ------> is True

therefore

the ordered pair $(5,-12)$ is a solution of the inequality

case b) $(-3,0)$

Substitute the value of x and y in the inequality

$0>-2*-3-4$

$0>2$ ------> is False

therefore

the ordered pair $(-3,0)$ is not a solution of the inequality

case c) $(-1,-1)$

Substitute the value of x and y in the inequality

$-1>-2*-1-4$

$-1>-2$ ------> is True

therefore

the ordered pair $(-1,-1)$ is a solution of the inequality

case d) $(0,1)$

Substitute the value of x and y in the inequality

$1>-2*0-4$

$1>-4$ ------> is True

therefore

the ordered pair $(0,1)$ is a solution of the inequality

case e) $(4,-12)$

Substitute the value of x and y in the inequality

$-12>-2*4-4$

$-12>-12$ ------> is False

therefore

the ordered pair $(4,-12)$ is not a solution of the inequality

Verify

using a graphing tool

see the attached figure

the solution is the shaded area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality

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3 years ago

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Answer:

Step-by-step explanation:

2/0.25 = 8

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3 years ago

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