Which shows the equation below written in standard form?
9 - 7x = (4x - 3)2 + 5
a. 16x2 - 31x - 5 = 0
b. 16x2 - 31x + 5 = 0
c. 16x2 - 17x - 5 = 0
d. 16x2 - 17x + 5 = 0

Option D -

Step-by-step explanation:

Given : Expression

To find : Which shows the equation below written in standard form?

Solution :

Step 1 - Write the expression

Step 2 - Solve the square term

Step 3 - Place like term together

Therefore, Option D is correct.

The standard form of the equation is

-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