Terry rides her bike for 40 minutes and plays basketball for an hour. How many calories does she burn..? (Per Minute).

Please help me out. I don’t understand this problem.. An equation of a line through (-7,-10) which is perpendicular to the line

nordsb [41]

Answer:

The Equation:

$y = \frac{1}{3}x - \frac{23}{3}$

The y-intercept:

$-\frac{23}{3}$

Step-by-step explanation:

Things you need to know:

Perpendicular mean opposite slope.

Need to know point slope form of a linear equation $y - y_1 = x(x - x_1)$

Ok, with that out the way, lets get started!

From the equation y = -3x + 2 we can see the slope, which is -3. We are asked to find an equation that is perpendicular to that slope so that means we need an opposite slope. To turn this slope to an opposite slope flip it and change the sign

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

Now that we have our opposite slope, which is $\frac{1}{3}$ , we can find the equation the problem is asking us to solve.

We do this by using the point (-7, -10) and our new slope, which is $\frac{1}{3}$ and by using $y - y_1 = x(x - x_1)$

Insert our point and slope into $y - y_1 = x(x - x_1)$ and solve for y

$y - y_1 = x(x - x_1)$

$y - (-10) = \frac{1}{3}(x - (-7))$

$y + 10) = \frac{1}{3}(x + 7))$

Work on the right side of the = sign

Distribute 1/3 to x and 7

$y + 10 = \frac{1}{3}(x + 7))$

$y + 10 = \frac{1}{3}x + \frac{7}{3}$

Bring the 10 over to the right side by adding a -10

$y + 10 -10= \frac{1}{3}x + \frac{7}{3} - 10$

$y = \frac{1}{3}x + \frac{7}{3} - 10$

Do the math for $\frac{7}{3} - 10 = -\frac{23}{3}$

$y = \frac{1}{3}x - \frac{23}{3}$

We are done.

The Equation:

$y = \frac{1}{3}x - \frac{23}{3}$

The y-intercept:

$-\frac{23}{3}$

7 0

3 years ago

What is the slope of the line? (please explain!)

Dennis_Churaev [7]

Answer:

-2/5

Step-by-step explanation:

Slope of a line is also called gradient.

Let A(x₁,y₁) and B(x₂,y₂) be points on a certain line;

slope = (y₂ -y₁)/(x₂ - x₁)

In this question the 2 points that lie on the line are: (-5,5) and (0,3)

slope = (3 - 5)/(0 - -5)

= -2/5

4 0

3 years ago

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If she would have left the money in the account for another 2 years before withdrawing, how much interest would the account have

Sonbull [250]

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Answer: 12% more interest

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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7 0

3 years ago

What is the least common multiple of 2,4,9 18 27 36 72

OverLord2011 [107]

The Answer to the question is 18

7 0

2 years ago

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Miguel needs 4 gallons of milk to make 12 milkshakes. How much milk does he need to

horrorfan [7]

Answer:

see the procedure

Step-by-step explanation:

Part 1) using proportion

we know that

Miguel needs 4 gallons of milk to make 12 milkshakes

so

Using proportion

Find out how much milk he needs to make 30 milkshakes

Let

x ----> gallons of milk needed

$\frac{4}{12}\frac{gal}{milkshakes}=\frac{x}{30}\frac{gal}{milkshakes}\\\\x=30(4)/12\\\\x=10\ gal$

Miguel needs 10 gallons of milk to make 30 milkshakes

Part 2) we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

This problem represent a proportional relationship

Let

x ----> the number of gallons of milk

y ----> the number of milkshakes

we know that

Miguel needs 4 gallons of milk to make 12 milkshakes

so

For x=4, y=12

Find out the constant of proportionality k

$k=y/x$

substitute the values

$k=12/4=3\ milkshakes/gallon$

The linear equation is equal to

$y=3x$

For y=30

substitute in the equation and solve for x

$30=3x$

Divide by 3 both sides

$x=10\ gal$

6 0

3 years ago

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