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Mrac [35]
4 years ago
5

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

Mathematics
1 answer:
VMariaS [17]4 years ago
4 0
<span>(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
</span>
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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
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10 and -7 times each other equals -70.
10 plus -7 equals 3.
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4 years ago
Answer is fast plz please please please ​
Nadya [2.5K]
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