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mixer [17]
3 years ago
12

Write a linear equation that contains the ordered pair shown in the table below:

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer:

y=2x-4

Step-by-step explanation:

Let the equation of line is y=mx+b, where m is the slope of the line.

It passes through (-5,-14),(-2,-8)\ and\ (1,-2).

(<em>Slope of the line</em> joining (x_1,y_1)\ and\ (x_2,y_2)=\frac{y_2-y_1}{x_2-x_1})

Hence slope of the given line

m=\frac{-8(-14)}{-2-(-5)}=\frac{-8+14}{-2+5}=\frac{6}{3}=2

Equation of line is: y=2x+b

The line passes through (1,-2)

-2=2\times 1+b\\b=-2-2\\b=-4

Check if (-5,-14) is on the line y=2x-4

L.H.S.=-14\\R.H.S.=2\times (-5)-4=-10-4=-14\\L.H.S.=R.H.S.

Hence line passes through (5,-14).

Check if (-2,-8) is on the line y=2x-4

L.H.S.=-8\\R.H.S.=2\times (-2)-4=-4-4=-8\\L.H.S.=R.H.S.

Hence line passes through (-2,-8).

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Y varies directly as x. If x = 15 when y = 20, find x when y = 30.
Goryan [66]

Answer:

22.5

Step-by-step explanation:

y=kx

20=k15

k=1•33

30=1•33x

x=22•5

5 0
3 years ago
What is the volume, in cubic centimeters, of a right rectangular prism that has a lenght of 4 centimeters, a width of 9 centimet
Temka [501]

Answer:

The volume of the prism is 360 cm^3.

Step-by-step explanation:

The rectangular prism is a three dimensional figure formed by six rectangular faces. It's volume is given by the product of it's three dimensions. The calculation for the volume of this prism is shown bellow:

volume = width*height*length

volume = 9*10*4

volume = 360 cm^3

The volume of the prism is 360 cm^3.

7 0
3 years ago
Read 2 more answers
z 5 ​ − z+2 2z+4 ​ =−3 space, startfraction, 5, divided by, z, end fraction, minus, start fraction, 2, z, plus, 4, divided by, z
yan [13]

Answer:

The sum of all the possible values for z that satisfy the above equation is -5.

Step-by-step explanation:

The given equation is

\frac{5}{z}-\frac{2z+4}{z+2}=-3

We need to find the sum of all the possible values for z that satisfy the above equation.

The given equation can be rewritten as

\frac{5}{z}-\frac{2(z+2)}{z+2}=-3

Cancel out common factors.

\frac{5}{z}-2=-3

Add 2 on both sides.

\frac{5}{z}-2+2=-3+2

\frac{5}{z}=-1

5=-z

Multiply both sides by -1.

-5=z

Only z=-5 satisfy the given equation.

Therefore the sum of all the possible values for z that satisfy the above equation is -5.

8 0
3 years ago
F(x)=x^2+1, (4,17) find slope
labwork [276]

Answer:

ITS NOT A LINEAR EQUATION SO IT DOES NOT HAVE A SLOPE

Step-by-step explanation:

7 0
3 years ago
HELP !!!! Equations with 1 no or infinite solutions
ryzh [129]

1. v=0

2. No solution

3. m=0

4. No solution

5. p= -7

6. x=5

7. -12 = - 12

8. x=5

9. 3=3

10. -32= -32

11. x=0

12. No solution

I'm sorry if anything is wrong.

6 0
3 years ago
Read 2 more answers
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