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Orlov [11]
3 years ago
12

Owen simplified the expression r-8 s-5.r−8s−5 =  1r8  ⋅ s5 =  s5r8

Mathematics
2 answers:
kobusy [5.1K]3 years ago
6 0

r⁻⁸ s⁻⁵

using the rule x⁻ⁿ=1/xⁿ

r⁻⁸ s⁻⁵ = (1/r⁸)(1/s⁵)

Vesnalui [34]3 years ago
4 0

Sample Response: Each base must be treated separately. Since each base is raised to a negative exponent, they should both be in the denominator of the fractions. The simplified form of the expression has 1 in the numerator and r to the 8th power times s to the 5th power in the denominator.

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Answer:

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Step-by-step explanation:

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Grace [21]

Answer:

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2 years ago
The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the ar
VikaD [51]

Answer:

A. (2 × 6) + (3 × 8) + 6²

72 sq. inches.

B. 9 in. by 8 in.

Step-by-step explanation:

The white shape has dimensions of 2 in. by 6 in. and the green shape is a square.

So, the dimension of the green shape is 6 in. by 6 in.

Therefore, the length of the blue shape is (6 + 2) = 8 in.

Now, given that the area of the blue shape is 24 sq. in.

So, the width of the blue shape is \frac{24}{8} = 3 in.

Now, if we consider the total figure, then area of the entire figure = area of the  white shape + area of the green shape + area of the blue shape.

= (2 × 6) + (3 × 8) + 6² (Answer)

= 12 + 24 + 36  

= 72 sq, inches. (Answer)

Now, the length of the entire figure is (6 + 3) = 9 in. and width of the entire figure is (2 + 6) = 8 in.

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5 0
3 years ago
Find the distance between points C(-1, -1) and D(6, 2) to the nearest tenth.
givi [52]

Answer:

≈ 7.6

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (6, 2)

d = \sqrt{(6+1)^2+(2+1)^2}

  = \sqrt{7^2+3^2}

  = \sqrt{49+9}

  = \sqrt{58} ≈ 7.6 ( to the nearest tenth )

8 0
3 years ago
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