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3 years ago

What is the midpoint of the vertical line segment graphed below?

Mathematics

1 answer:

FromTheMoon [43]3 years ago

4 0

Answer:

(2, -2.5)

Step-by-step explanation:

4 to -9= 13 spaces

13/2=6.5

4-6.5=-2.5

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Find the missing terms of the aritmetic sequence 5,a2,a3,a4,-11

Allushta [10]

A2= 1
a3=-3
a4=-7
the common difference is -4

4 0

3 years ago

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

The total income for the Mr. Jones’s apartment building can be represented by the equation 2R minus C minus 2P, where r is the a

son4ous [18]

total income= 2R-C-2P

R= omoun tof rent paid by each tenant = $700

C= cable bill = $100

P = Phone bill = $50

Replace the values:

Total income = 2(700)-100-2(50)

total income= 1,400-100-100 = 1,400-200= $1,200

Total income =$1,200

4 0

2 years ago

What is the area of a traingle with base as 2cm and height as 7cm?

Alex17521 [72]

Answer:

7 cm²

Step-by-step explanation:

Area of a triangle = (Base * hight) / 2

A = (2* 7) /2 = 14/ 2 = 7 cm²

3 0

2 years ago

Read 2 more answers

If the math club collected 17,604 points and gave away 36 shirts, how many points were collected if 82 shirts were given away?

luda_lava [24]

17,604 points/36 shirts=489 points per shirt
82 shirts*489 points=40,098 points

4 0

3 years ago