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Nataliya [291]
3 years ago
14

Which expression is equivalent to the given expression?(12g^2h^7)(3g^-2h^-4)​

Mathematics
1 answer:
tino4ka555 [31]3 years ago
3 0

Answer:

B

Step-by-step explanation:

(12g²h⁷)(3g⁻²h⁻⁴) = 12 * 3 * g²⁺⁽⁻²⁾ * h⁷⁺⁽⁻⁴⁾

                            = 36 * g⁰ * h³

                            = 36 * 1 * h³

                            = 36h³

Any variable or constant to the power of zero is 1

a⁰ = 1 ;    12⁰ = 1  ;   (-5)⁰ = 1

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The length of a rectangle is 5 inches more than the width. The area is 33 square inches. Find the length and width . Round to th
EleoNora [17]

Answer:

the length and width . Round to the nearest tenth are 8.8 inches and 3.8 inches respectively.

Step-by-step explanation:

The area A of a rectangle is the product of the length L and width W. This may be expressed mathematically as

A = L * W

As such, given that the length is 5 inches more than the width,

L = W + 5

33 = W(W + 5)

W² + 5W  - 33 = 0

Using the formula method which states that

s = -b±√(b²-4ac)/2a

W = -5 ± √5² - 4(1)(-33)/2

= -5 ± 12.53/2

= 7.53/2 (since length cannot be negative)

= 3.755 inches

L = 3.755 + 5

= 8.755 inches

6 0
3 years ago
write an equation in point slope form for the line that passes through each point with the given slope (-7,2),m=6
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Point-slope form for a  line:
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y-y₀=m(x-x₀=

We have the point (-7,2) and the slope (m=6); so:
y-2=6(x+7)

Answer: the equation in point-slope form would be: y-2=6(x+7)
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Tell whether a triangle can have sides with the
Dmitry [639]

Answer:

3x+2 \ne x^2 \ne 2x for x = 4

Step-by-step explanation:

Given

Shape: Triangle

Dimension: 3x + 2, x^2 and 2x

x = 4

Required

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To do this, we simply substitute 4 for x in the given dimensions

<u>3x + 2</u>

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<u>x^2 </u>

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<u>2x</u>

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Answer:

20

Step-by-step explanation:

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