What is (x-8)(x+4)+(x-3)(x+9)?

1 answer:

4 0

(x-8)(x+4)+(x-3)(x+9)
(x^2 + 4x -8x - 32) + (x^2 + 9x - 3x - 27)
x^2 - 4x - 32 + x^2 + 6x - 27
x^2 + 2x - 59

Answer: D

You might be interested in

Find the value of x (3/5)^x(5/3)^2x=125/27

lesya692 [45]

Given:

The equation is

$\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}$

To find:

The value of x.

Solution:

We have,

$\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}$

$\left(\dfrac{5}{3}\right)^{-x}\left(\dfrac{5}{3}\right)^{2x}=\dfrac{5\times 5\times 5}{3\times 3\times 3}$ $[\because \left(\dfrac{a}{b}\right)^{-m}=\left(\dfrac{b}{a}\right)^{m}]$

$\left(\dfrac{5}{3}\right)^{-x+2x}=\dfrac{5^3}{3^3}$ $[\because a^ma^n=a^{m+n}]$

$\left(\dfrac{5}{3}\right)^{x}=\left(\dfrac{5}{3}\right)^{3}$

On comparing the exponents, we get

$x=3$

Therefore, the value of x is 3.

8 0

3 years ago

Drake's yard measures 24 ft by 30 ft. His garden, which is part of the yard, measures 36 inches by 108 inches. What is the area

Westkost [7]

24 x 30 = 720 sq. ft

36 x 108= 3888 sq. inches

3888 inches divided by 12 inches= 324 ft.

720 ft - 324 ft. = 396 ft is the yard only without the garden

3 0

3 years ago

Read 2 more answers

What multiplies to -70 but adds to 3

Lisa [10]

10 and -7 times each other equals -70.
10 plus -7 equals 3.
Hope this helps you! (:

5 0

4 years ago

Answer is fast plz please please please

Nadya [2.5K]

50x5=25x10
70x7=14x35

8 0