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labwork [276]
3 years ago
11

Need help ASAP please and thank you

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0
The 3rd one I think
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write an equation in point-slope form for the line through the given point with the given slope. (8, -3); m= -1/4
Vlad [161]

Your answer would be y = (-1/4)x - 1

Seeing as they give us the slope, all we have to is find the y intercept of the line. We can do this by substituting in the coordinates (8, -3), and using the 8 as x and the -3 as y.

This gives us:

-3 = (-1/4 × 8) + c

-3 = -8/4 + c

-3 = -2 + c

c = -1

So therefore the final answer is y = (-1/4)x - 1

I hope this helps!

5 0
3 years ago
Four times the sum of a number and 3 is the same as the sum of two times the number and 8. Find the number.
tino4ka555 [31]

Answer:

Step-by-step explanation:

4 (x + 3) = 2x + 8   <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8       <-------subtract 2x from both sides of the equation.

2x = -4              <-------subtract -12 from both sides

x = -2                <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

  4        =      4

4 (x + 3) = 2x + 8   <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8       <-------subtract 2x from both sides of the equation.

2x = -4              <-------subtract -12 from both sides

x = -2                <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

  4        =      4

8 0
3 years ago
A circle with circumference 20 has an arc with a 72 degree central angle. What is the length of the arc?
drek231 [11]

Answer:

4

Step-by-step explanation:

circumference = 2πr

or, 20 = 2π r

or, π r = 10

or, r= 10/π

72 ° = 2π/5

length of arc = r∅ = 10/π × 2π/5

= 4

5 0
3 years ago
What is 1/4 + 1/4 + 1/4?
dimulka [17.4K]

Answer:

the answer is: 3/4

Step-by-step explanation:

because, 1/4 + 1/4 + 1/4 = 3/4


5 0
3 years ago
Read 2 more answers
What is ___x5=20 3x _____=6 2+ ____=16 3x____=24 9x____=34 12+____=2
nydimaria [60]

Answer:

4×5=20

3×2=6

2+14=16

3×8=24

9×4=36, 36 -2 = 34

12+(-10) =2

4 0
3 years ago
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