The height of a trapezoid can be expressed as x – 4, while the bases can be expressed as x + 4 and x + 9. if the area of the trapezoid is 99 cm2 , find the length of the larger base.

19 cm

Step-by-step explanation:

                99 =

                99 =

              198 = (2x + 13)(x - 4)

              198 = 2x² + 5x - 52

                 0 = 2x² + 5x - 250

                 0 = 2x²- 20x + 25x - 250

                 0 = 2x(x - 10) + 25( x - 10)

                 0 = (2x + 25)(x - 10)

0 = 2x + 25     or        0 = x - 10

  = x      or          x = 10

Since length cannot be negative, can be disregarded

Larger base: x + 9  = 10 + 9   = 19

Length of the larger base is 19 cm.

Step-by-step explanation:

Height of the trapezoid = (x - 4)

Bases of the trapezoid = (x + 4) and (x + 9)

Area of the trapezoid = 99 cm²

We know the formula,

Area of trapezoid =

99 =

99 =  

99×2 = (2x + 13)(x - 4)

198 = 2x² - 8x + 13x - 52

2x² + 5x - 52 - 198 = 0

2x² + 5x - 250 = 0

2x² + 25x - 20x - 250 = 0

x(2x + 25) - 10(2x + 25) = 0

(2x + 25)(x - 10) = 0

(2x + 25) = 0

2x = -25

x = -

Since length of the base can not be negative.

Therefore, (x - 10) = 0 will be the solution

x = 10 cm

Length of the larger base = x + 9

= 10 + 9

= 19 cm

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.