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Snowcat [4.5K]
3 years ago
5

You can run 3­ 3/5 miles in 40 minutes. What is your unit rate?

Mathematics
1 answer:
fiasKO [112]3 years ago
3 0
Unit rate is how many units of work can you do in 1 unit of time

3 and 3/5=3+3/5=15/5+3/5=18/5

(18/5mi)/40mins
divide by 40
aka times 1/40
(18/5)(1/40)=18/200=9/100=0.9/10=0.09/1
0.09 miles per minute
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Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop
Anika [276]

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_1,y_1) and (x_2,y_2) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m=\frac{-5--3}{-2--1}

simplify

m=\frac{-5+3}{-2+1}

add

m=\frac{-2}{-1}

divide

m=2

So the slope is <u>2</u>

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

<u>-1=b (the value of the y intercept!) </u>

Substitute -1 as b into the equation

<u>y=2x-1</u>

We found everything needed for this problem

Hope this helps!

8 0
3 years ago
The transformation T = [0 1 -1 0] is applied the figure below.
Margaret [11]

Answer:

<h2>a.) reflect across x-axis</h2>

Step-by-step explanation:

The transformation described is about multiplying the vertical value by -1:

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As a result, we'll have a reflection across the x-axis, because the y coordinates were transformed.

Therefore, the right answer is A.

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