A rectangle has an area of 72 square units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4. What is the rectangle's length?
A. 6
B. 7
C. 8
D. 9

8

Step-by-step explanation:

If you plug in the answers it will give you 9x6= 54 which is wrong and 9x7=63 and 9x9=81 but 9x8=72.

C   length = 8

Step-by-step explanation:

Area of Rectangle = lw

A = lw    Substitute l = (2x + 4) ; w = 9

72 = (2x + 4)9

72 = 18x + 36

36 =        -36

36 = 18x

36/18 = x

 2 = x

 Substitute into l = 2x + 4 ; l = 2(2) + 4; l = 4 + 4 ; l = 8

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb