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2 years ago

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Ashton left his house and ran 4 miles east and 3 miles north he took the diagonal path back home if he burned 105 calories every

mile that he ran how many total calories did he burn on this run

1 answer:

professor190 [17]2 years ago

6 0

4+3+5=12

(5 is the hypotenuse of the triangle)

105/12=8.75

He burned 8.75 calories for each mile.

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

3 years ago

Zack bought a coat for $69.78. He paid with $100 bill and received $26.73 in change. How much was the sales tax?

Klio2033 [76]

$3.49

Hopefully I helped!

6 0

2 years ago

Read 2 more answers

Verizon [17]

You need to work backwards
if it is no more than 9 units away from 8
thus x must be 8-9<x<8+9 solving -1<x<17
so the answer is 4.

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2 years ago

The stem-and-leaf plot lists the number of coupons saved per person in a coupon club.

navik [9.2K]

Answer:

Your answers 5 :)

Step-by-step explanation:

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3 years ago

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The heights of American men are normally distributed. If a random sample of American men is taken and the confidence interval is

solmaris [256]

Answer:

<h2>69.5</h2>

Step-by-step explanation:

Given the confidence interval of the heights of american heights given as (65.3,73.7);

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Sample mean will be the average of both confidence interval . This is expressed mathematically as $\overline x = \frac{L+U}{2}$

$\overline x = \frac{65.3+73.7}{2}\\\overline x = \frac{139}{2}\\\overline x = 69.5$

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2 years ago