The area of a trapezoid is given by the formula A = 1/2h(B + b). Solved for b, this formula becomes b = A) 1 2 hA -B B) 1 2 hB - A C) 2A - B h D) 2A h - B

Option D: is the value of b

Explanation:

Given that the formula for the area of a trapezoid is

We need to solve the formula for b.

The value of b:

Let us solve the formula to determine the value of b.

Multiplying both sides of the formula by 2, we get;

Dividing both sides by h, we get;

Subtracting both sides of the formula by B, we have;

Thus, the value of b is

Hence, Option D is the correct answer.

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu