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olya-2409 [2.1K]
4 years ago
12

Write the equation of a line in slope intercept form that is parallel to the line y= 1/3x + 5 and passes through (-9, 5)

Mathematics
1 answer:
vladimir2022 [97]4 years ago
7 0
Find the slope of line 1
The equation of line 1 is y = (1/3)x + 5
m = 1/3

Find the slope of line 2
Line 2 is parallel to line 1. Parallel lines have the same number of slope. So the slope of line 2 is 1/3

Find the slope-intercept form of equation, with m = 1/3 and (-9,5)
General formula
y - y₁ = m(x - x₁)

Input the number to the formula
y - y₁ = m(x - x₁)
y - 5 = 1/3(x - (-9))
y - 5 = 1/3 (x + 9)
y - 5 = (1/3)x + 3
y = (1/3)x + 3 + 5
y = (1/3)x + 8

The equation is y = (1/3)x + 8
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How do you substitute math 3x+y=-14 and 2x-y=-19 step by step
anastassius [24]

Answer:

x=-33/5 y=29/5

Step-by-step explanation:

Let's solve your system by substitution.

3x+y=−14;2x−y=−19

Solve

3x+y=−14 for y:

3x+y=−14

3x+y+−3x=−14+−3x(Add-3x to both sides)

y=−3x−14

Next is to substitute −3x−14 in for y 2x−y=−19:

2x−y=−19

2x−(−3x−14)=−19

5x+14=−19(Simplify both sides of the equation)

5x+14+−14=−19+−14(Add -14 to both sides)

5x=−33 Dived both sides by 5

5x/5=-33/3

x=−33/5 since you can't dived and a fraction is another form of division you keep it this way.

Step: Substitute -33/5 for x in y=−3x−14:

y=−3x−14

y=−3(-33/5)-14

y=29/5

(Simplify both sides of the equation)(since you can't dived and a fraction is another form of division you keep it this way.)

So

x=-33/5 and y=29/5

Pls mark brailest this took me a long time to write out lol. Hope this truly helps! Send a heart if so, so I can keep spreading the help!

3 0
4 years ago
How many 3 1/4 inch pieces of ribbion can be cut from a spool containing 19 1/2 inches of ribbon
goldenfox [79]
6. 6 3 1/4 inch pieces of ribbon can be cut from 19 1/2 inches of ribbon
5 0
3 years ago
Can someone please help
iren [92.7K]
So the sides ML and MN are exactly the same. Your equation would look something like this...
3x = x + 10
You first subtract x from both sides to isolate the variable.
2x = 10
Divide 2 from both sides.
x = 5
5 is the length of MN.
I hope this helps love! :)
3 0
3 years ago
The total sales at Office Products this year are $713,340, which is 35% more than last year’s sales. What is the amount of last
antoniya [11.8K]

The amount of last year sales is $ 528400

<em><u>Solution:</u></em>

Let "x" be the amount of last year sales

Given that,

The total sales at Office Products this year are $713,340, which is 35% more than last year’s sales

Therefore,

This year sales = 35 % more than last year sales

This year sales = 35 % of last year sales + last year sales

713340 = 35 % of x + x

713340 = 35 \% \times x + x\\\\713340 = \frac{35}{100} \times x + x\\\\713340 = 0.35x + x\\\\713340 = 1.35x\\\\\text{Divide both sides of equation by 1.35 }\\\\x = 528400

Thus amount of last year sales is $ 528400

8 0
4 years ago
-5(x – 3) = x + 27<br> What’s the answer to this
Leona [35]

-5(x – 3) = x + 27

multiply the bracket by -5

(-5)(x)=-5x

(-5)(-3)=15

-5x+15=x+27

Move +15 to the other side. Sign changes from +15 to -15.

-5x+15-15=x+27-15

-5x=x+27-15

-5x=x+12

Move +x to the other side. Sign changes from +x to -x.

-5x-x=x-x+12

-6x=12

Divide both sides by -6

-6x/-6=12/-6

Answer: x=-2

3 0
3 years ago
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