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Minchanka [31]
2 years ago
13

Rewrite the expression as a product using the GCF and distributive property. 27 + 45

Mathematics
2 answers:
vovangra [49]2 years ago
3 0

Step-by-step explanation:

GCF of 27 and 45 is 9

iren2701 [21]2 years ago
3 0

Answer: 9 (3+5)

Step-by-step explanation:

The GFCF of these two numbers is 9 as they can both be divided by it

Distributive property form is when you place the GFC outside parenthesis so that the equation can be multiplied in order to show the original equation and dividing the numbers by the GCF so that it does not give you a larger number than what you started with

27/9=3 + 45/9=5

So, keeping this in mind the distributive property form would be 9(3+5)

Answer 9(3+5)

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The quadratic function d= -4x+1,100 models a snowboarder's distance, in feet, from the bottom of a hill x seconds after the snow
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Answer:

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Step-by-step explanation:

Given:

The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

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Now, plugging in 100 for 'd' and solving for 'x', we get:

100=-4x^2+1100

Adding -1100 both sides, we get:

100-1100=-4x^2+1100-1100\\-1000=-4x^2

Dividing both sides by -4, we get:

\frac{4x^2}{4}=\frac{1000}{4}\\x^2=250

Taking square root and neglecting the negative root as time can't be negative. So,

\sqrt{x^2}=\sqrt{250}\\x=5\sqrt{10}=15.8\ s\approx 16\ s

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.

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