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Yuri [45]
3 years ago
13

2(1/4x + 4) = 3(x -2) PLZ HELP

Mathematics
1 answer:
frozen [14]3 years ago
8 0
Distribute 2 and remove parentheses :
1/2x+8=3x-6
Multiply both sides of equation by 2:
x+16=6x-12
Move terms:
x+16-6x=-12
x-6x=-12-16
Collect like terms:
-5x=-28
Divide both sides:
x=28/5
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A large rectangular movie screen in an IMAX theater has an area of 8,364 square feet. Find the dimensions of the screen if it is
jeyben [28]

Answer:

The dimensions of the screen are

Length:102 feet

Width: 82 feet

Step-by-step explanation:

we know that

The area of the rectangle (movie screen) is equal to

A=LW

where

L is the length

W is the width

we have

A=8,364\ ft^2

so

8,364=LW ----> equation A

The screen is 20 feet longer than it is wide.

so

L=W+20 ---> equation B

substitute equation B in equation A

8,364=(W+20)W

solve for W

8,364=W^2+20W\\W^2+20W-8,364=0

solve the quadratic equation by graphing

the solution is W=82 ft

see the attached figure

Find the value of L

L=82+20=102\ ft

therefore

The dimensions of the screen are

Length:102 feet

Width: 82 feet

7 0
4 years ago
Please help thanks!!
Pepsi [2]
The answer is 1.) 6^1/6


The third root of something is the same as an exponent to the 1/3 power.

(When an exponent is a fraction, the numerator is powers and the denominator finds the root. For example: 3 to the power of 4/2 is multiplied by itself 4 times (81) then the denominator, 2, means we find the square root of it (9). 4/2=2, and 3 to the 2nd power is also 9.)

So that would be 6 to the 1/3 power, then you find the square root of that, so it's (6 to the 1/3 power) to the 1/2 power, and according to the Power Rule (a power on top of a power means you multiply the two powers), that would end up being 1/6.

\sqrt{  \sqrt[3]{6}  }  =  \sqrt{ {6}^{ \frac{1}{3} } }  = (6 { \frac{1}{3} })^{ \frac{1}{2} }  =  {6}^{ \frac{1}{3}  \times  \frac{1}{2} }  =  {6}^{ \frac{1}{6} }

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Bezzdna [24]

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