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3 years ago

Find the midpoint of A and B where A has coordinates (8,5) and B has coordinates (3, 7).

Mathematics

1 answer:

Mama L [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Average of x-coordinates = (8+3)/2 = 5.5

Average of y-coordinates = (5+7)/2 = 6

Midpoint at (5.5,6)

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How do i find the slope

Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show rise, over the difference in the x points to show run.

Now, to find the slope we insert our values, starting with our second y point:

m= $\frac{2-y_{1 } }{x_{2} -x_{1} }$

Now insert our first y point:

m= $\frac{2-4 }{x_{2} -x_{1} }$

Now we insert our second x point:

m= $\frac{2-4 }{-3 -x_{1} }$

And finally our first x point:

m= $\frac{2-4 }{-3 -3 }$

Now, we solve:

m= $\frac{-2 }{-6}$

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

m= $\frac{2 }{6}$

Now, we simplify our fraction by dividing the top and bottom by 2:

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

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

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

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Insert our values:

m= $\frac{4-1}{2-(-4)}$

Get rid of the double negative:

m= $\frac{4-1}{2+4}$

Solve:

m= $\frac{3}{6}$

Simplify:

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

Now that we know our slope, let's plug it in to our slope intercept form equation.

y= $\frac{1}{2}$ x+3

I hope this was helpful! Keep learning! :D

5 0

3 years ago

A taxpayer itemized and deducted an amount in a previous year and

saveliy_v [14]

This is not a form of income it is known as federal tax refund.

What is federal tax refund ?

Tax refunds are issued to taxpayers who have overpaid their taxes, or whose employers have withheld too much from their paychecks.

Therefore, A federal tax refund is not entered on a federal tax return so it is not income. Tax refunds from state governments can be itemized deductions on your federal tax return in the year they are issued.

It must be noted that If you electronically file your tax return or if you file a paper return, your refund is generally issued within 21 days.

check and know more about taxes here :

brainly.com/question/16423331

#SPJ1

5 0

1 year ago

14 by 15 feet garden. if one bag of soil covers 20 square feet how many bags of soil

lesantik [10]

14*15 is 210 which his the entire area. now divide 210/20 you get 10.5 so you will need at least 11 bags

6 0

3 years ago

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You get tired of the sand and head up to the amusement park. You can purchase 20 ride tickets for $14 or you can purchase 30 rid

Helga [31]

Answer:

The one with the better deal would be 30 ride tickets for $22.50 this is because you pay less money for more rides.

Step-by-step explanation:

First you divide 20 by 14. Doing this will give you the cost of a ride per ticket.

20/14 = 1.42

Then you do the same thing to 30 and 22.50.

30/22.50 = 1.30

Last you compare which deal has less money per ride.

1.42 > 1.30

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3 years ago

The price of gas has been increasing over the last month. Renee believes there is a positive correlation between the number of p

snow_tiger [21]

Step-by-step explanation:

To find a rat of change (ROC) you take the two numbers and the two prices and subtract them to make a ratio:

____6-3_____ = ___3___

$2.56-$2.44 = $2.12

The reduce to the lowest number (the 3 to a 1)

__3___ = ___1__

$2.12 $0.71

The ROC is $0.71

8 0

4 years ago

Read 2 more answers