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iogann1982 [59]
3 years ago
5

Colin leaves school to go home. He walks 3 blocks south and then 9 blocks west. If Colin could walk in a straight line to the sc

hool, what is the exact distance between Colin and the school?
Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

9.48*

Step-by-step explanation:

This is a right triangle. The formula for solving the Hypotenuse, or the longest side of the right triangle is A^2 + B^2 = C^2. If we put the numbers from the problem into the formula this is what we get :

3^2 + 9^2 = C^2

9 + 81 = C^2

90 = C^2

9.48 = C

* This is rounded, the exact number is closer to 9.486832980505138. Your class should tell you what to round to.

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Piper is deciding between two truck rental companies. Company A charges an initial fee of $35 for the rental plus $3 per mile dr
vazorg [7]

Answer:

An equation for each situation, in terms of x

A = 35 + 3x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

Step-by-step explanation:

Let A represent the amount Company A would charge if Piper drives x miles

Let B represent the amount Company B would charge if Piper drives x miles.

Company A charges an initial fee of $35 for the rental plus $3 per mile driven.

A= $35 + $3 × x

A = 35 + 3x

Company B charges an initial fee of $80 for the rental plus $2 per mile driven.

B = $80 + $2 × x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B.

= A < B

35 + 3x < 80 + 2x

3x - 2x < 80 - 35

x < 45 miles

That is: any number of miles driven below 45 miles makes Company A cheaper than Company B

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

5 0
3 years ago
Which of the following techniques will provide the most consistently correct result?
AnnZ [28]
Please there are no options to be chosen from
4 0
2 years ago
Evaluate: (4x¹⁴)(8x¹¹) *​
Marta_Voda [28]

Answer:

32x^25

Step-by-step explanation:

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6 0
3 years ago
What is 6 5/3 x 5 7/8 &lt; 42
Eddi Din [679]

Answer:

The left side 45.041¯645.0416‾ is not less than the right side 42 which means that the given statement is false.

3 0
3 years ago
Evaluate 4a + 7b + 3a − 2b for a = 5 and b = −3.
blsea [12.9K]

Answer:

<h2>20</h2>

Step-by-step explanation:

4a+7b+3a-2b\qquad\text{combine like terms}\\\\=(4a+3a)+(7b-2b)\\\\=7a+5b\qquad\text{put a = 5 and b = -3 to the expression}\\\\7(5)+5(-3)=35-15=20

5 0
3 years ago
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