ANSWER

D. A'(-5,0), B'(0,9) and (2,6)

EXPLANATION

The coordinates of triangle ABC are A(0,-5), B(-9,0) and C(-6,2).

A rotation of 90° clockwise about the origin has the mapping,

$(x,y)\to (y,-x)$

Therefore the image triangle has vertices

A'(-5,0), B'(0,9) and C'(2,6)

The correct choice is D.

6 0

3 years ago

Write and solve a system of equations: Vanessa and Geneva worked together to buy a pair of tickets ($240 total) to the Green Day

Goshia [24]

Answer:

The systems of equation are $\left \{ {{v+g=21} \atop {10v+12g=240}} \right.$ .

Vanessa worked for 6 hrs and Geneva worked for 15 hrs to earn exactly $240.

Step-by-step explanation:

Let the number of hours worked by Vanessa be 'v'.

Let the number of hours worked by Geneva be 'g'.

Given:

Total number of hours worked = 21 hours

So we can say that;

Total number of hours worked is equal to sum of number of hours worked by Vanessa and number of hours worked by Geneva.

framing in equation form we get;

$v+g=21$ ⇒ equation 1

Also given:

per hour earnings of Vanessa = $10

per hour earning of Geneva = $12

Total they need to earn = $240

So we can say that;

Total they need to earn would be equal to sum of per hour earnings of Vanessa multiplied by number of hours worked by Vanessa and per hour earning of Geneva multiplied by number of hours worked by Geneva.

framing in equation form we get;

$10v+12g =240$ ⇒ equation 2