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3 years ago

Simplify the expression. Write your answer as a power. 5^8 x 5^5/5^4 x 5^3

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

7 0

Answer:

Step-by-step explanation:

5^5/5^4 = 5^(5-4) = 5

5^8 * 5 * 5^3 = 5^(8+1+3) = 5^12

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What is the distance between M(9, −5) and N(−11, 10)?

lesya692 [45]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{25 \: units}}}}}$

Step-by-step explanation:

Let M ( 9 , -5 ) be ( x₁ , y₁ ) and N ( - 11 , 10 ) be ( x₂ , y₂ )

Finding the distance between these points

$\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 11 - 9)}^{2} + {(10 - ( - 5))}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(10 + 5)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(15)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{400 + 225}}}$

$\longrightarrow{ \sf{ \sqrt{625}}}$

$\longrightarrow{ \sf{ \sqrt{ {(25)}^{2} } }}$

$\longrightarrow{ \sf{25 \: units}}$

Hope I helped!

Best regards! :D

7 0

3 years ago

NO LINK ANSWERS

Temka [501]

Answer:

16 children and 11 adults

Equation 1: a + c = 27

Equation 2: 4a + c = 60

Step-by-step explanation:

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2 years ago

Two cooling fans are installed in some laptop computers. Suppose the reliability of each cooling fan is 0.92. What percent impro

wlad13 [49]

Answer:

Step-by-step explanation:

Given that:

Reliability of each = 0.92

r = 0.92

1 - (1 - r)(1 - r) = 1 - (0.08)(0.08) = 1 - 0.0064 = 0.9936

Percentage improvement :

1 - (0.9936) / r

1 - (0.9936 / 0.92)

1 - 1.08

= - 0.08

= 0.08 / 100 = 8%

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3 years ago

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Korvikt [17]

Answer: 27x-3 :)

Step-by-step explanation:

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3 years ago

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Consider this equation: 2x + 2 = 11 - x

77julia77 [94]

Addition bc. you need adding to both sides x and will get this result of 3x+2 = 11

hope helped

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3 years ago

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