Atriangle with vertices located at (−2, −2) and (4, −2) has an area of 24 square units. which is one possible location of the other vertex? a) (4, 6) b) (4, 8) c) (6, −2) d) (−10, −2)

A) (4, 6)

Step-by-step explanation:

1. You can plot the given points (-2,-2) and (4,-2), as you can see in the first graph attached.

2. The formula for calculate the area of a triangle is:

Where b is the base and h is the height.

3. As you can see in the first graph, the lenght of the base is:

So, you must solve for the heigth:

3. Add 8 to the y-coordinate of both points given in the problem to know the coordinates of the other vertex:

(-2,-2+8)=(-2,6) (This is not an option)

(4,-2+8)=(4,6) (Option A. This is the answer).

4. Then, the triangle is shown in the second graph.

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

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step-by-step explanation: