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Aleonysh [2.5K]
3 years ago
6

What is the equation of a line with points -3,-11 and 2,4?​

Mathematics
1 answer:
const2013 [10]3 years ago
5 0

Answer:

y=3x-2

Step-by-step explanation:

\frac{4-(-11)}{2-(-3)} =\frac{15}{5} =3

m=3 so using point-slope intercept form

y-y_{1}=m(x-x_{1} )

y-4=3(x-2)

       3x-6

+4        +4

y=3x-2

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A highway map of Ohio has a coordinate grid superimposed on top of the state. Springfield is at point (1, –4) and Columbus is at
Vedmedyk [2.9K]
The midpoint, where the rest area is, will just be the average of the coordinates of Springfield and Columbus.

Rest Area=((1+7)/2, (-4+1)/2)

Rest Area=(4, -1.5)

The distance between the two cities can be found using the Pythagorean Theorem, which used in the manner is often referred to as the "distance" formula between two points.

d^2=(x2-x1)^2+(y2-y1)

d^2=(7-1)^2+(1--4)^2

d^2=36+25

d^2=61

d=√61  and we are told that each unit is equal to 5.38mi so the distance from Springfield to Columbus is:

D=5.38√61 mi

D≈42.02mi  (to nearest hundredth of a mile)
3 0
4 years ago
Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 75% syrup?
Julli [10]

Answer:

He needs 3.75 lbs of sugar and 1.25 lbs of water.

Step-by-step explanation:

Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.

Note

5 lbs - 100%

x lbs - 75%

Write a proportion:

\dfrac{5}{x}=\dfrac{100}{75}

Cross multiply:

100x=5\cdot 75\\ \\100x=375\\ \\x=\dfrac{375}{100}=3.75

So, he needs 3.75 lbs of sugar and 5 - 3.75 = 1.25 lbs of water.

7 0
3 years ago
Find the slope of the graphed line
Anna [14]

Answer:

4

Step-by-step explanation:

Pick two points on the line

(0,-5)  and (1,-1)

We can find the slope using

m = (y2-y1)/(x2-x1)

   = ( -1 - -5)/(1 - 0)

  (-1+5)/(1-0)

    4/1

  = 4

7 0
3 years ago
What are coefficients
Vsevolod [243]

coefficients are the whole number.

Example : 1x+5x

                 ________   + 15

                 3x+16x

that's a fraction the coefficients would be the numbers in front of the variable. Variables are the letters in the equation. Which is the x in my equation.

3 0
3 years ago
Please answer no trolls!!
klemol [59]
“d” is the smallest, “e” is the middle and “f” is the largest. i like your username btw :)
5 0
3 years ago
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