Select the correct answer. What is the value of ?

Select the correct answer.

What is the value of ?

A. 7/8

B. 7

C. 8

D.7/2

Solution

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Correct option is

A

−2

A(3,1)B(5,P)C(7,−5)

If points A(x

1

,y

1

),B(x

2

,y

2

),C(x

3

,y

3

) are collinear then

ar(△ABC)=

2

1

[x

1

(y

2

−y

3

)+x

2

(y

3

−y

1

)+x

3

(y

1

−y

2

)]=0

2

1

[3[5+p)+5(−5−1)+7(1−p)]=0

15+3p−30+7−7p=0

4p=−15+7

4p=−8

p=−2

Step-by-step explanation:

helps?:)

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3