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liubo4ka [24]
3 years ago
10

Alex made a sketch for a homemade soccer goal he plans to build. The goal will be in the shape of a triangular prism. The legs o

f the right triangles at the sides of his goal measure 3 ft and 8 ft, and the opening along the front is 22 ft. How much space is contained within this goal?
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0

Answer:

384 ft

Step-by-step explanation:

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If money depends on months what is the dependent variable
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The dependent variable is money

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The rectangular field is 120 yards long and 40 yards wide. How many square yards is it’s area?
lilavasa [31]

Answer:

4800 yards wide

Step-by-step explanation:

120 x 40=4800

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(4x+1)(3x-7) yup it hurts
musickatia [10]

Answer:

12x^2-25x-7

Step-by-step explanation:

Multiply each term by its counterpart in the parenthesis.

4x*3x and 4x*-7

1*3x and 1*-7

This gives you 12x^2-4x*7+3x-7 when the like terms are combined.

Collect the like terms, which will give you 12x^2-25x-7

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3 years ago
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-7x − 3x + 2 = −8x – 8 .<br><br> SHOW WORK!!!
denis23 [38]

-7x-3x+2=-8x-8\\\\(-7x-3x)+2=-8x-8\\\\-10x+2=-8x-8\qquad|\text{subtract 2 from both sides}\\\\-10x=-8x-10\qquad|\text{add 8x to both sides}\\\\-2x=-10\qquad|\text{divide both sides by (-2)}\\\\\boxed{x=5}

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Information reference tables what is the solution set of the equation log4 (x2 + 3x) − log4 (x + 5) = 1?
faust18 [17]
Use this property of logarithms:

\log_b\left(\dfrac{x}{y}\right)=\log_b x-\log_b y

Your equation transforms into:

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Now, you have to apply the definition of a logarithm to express the equation in exponential form:

\dfrac{x^2+3x}{x+5} = 4^1

In case you don't remember, this is the definition of a logarithm:

\log_b x = y \iff b^y = x

The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).

Finally, solve the rational equation:

\dfrac{x^2+3x}{x+5} =4 \iff x^2+3x=4(x+5)
\iff x^2-x-20=0
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The correct answer is d.
5 0
3 years ago
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