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4 years ago

How do I write an equation that passes through the given line and is parallel to the line: (4, 7), y=5x-3

1 answer:

6 0

With lines of the form y=mx+b lines are parallel as long as m is the same->m=5
so we know the new line also has the form y=5x+b, so now we have to calculate the b to pass through (4,7)
for this insert x=4, and y=7 to solve for b

7=5*4+b
7=20+b
-13=b

so the parallel line through (4,7) has the equation y=5x-13

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3 years ago

Please help with this I still do not know what I am doing

amm1812

Answer:

See Below

Step-by-step explanation:

150 = p + 78 ------ you want to get the p to one side and the other number the the other side of the =

(78 - 150) = p (78 - 78) ---- what ever you do to one side you do to the other

72 = p

s - 51 = 12 (same thing as above)

s (-51 + 51) = 12 + 51

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3 years ago

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Answer:

no, jake needs $14 more to repay his mother

Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can se

blagie [28]

Answer:

The height of the house is 30 feet

Step-by-step explanation:

* Lets explain how to solve the problem

- Name the place of the mirror with M

- Name the place of Paul with P

∴ MP is the distance between Paul and the mirror

∵ The distance between Paul and the mirror is 5 feet

∴ MP = 5

- Name the place of Paul's eyes with E

- Name the tip of the roof with T

∴ MET is a line segment

- Name the place of the house on the ground with H

- The line TH represent the height of the house

∴ TH = the height of the house

- The line HM is the distance between the house and the mirror

∵ The distance between the house and the mirror is 25 feet

∴ HM = 25

- Paul and the house are both perpendicular to the ground

∴ TH and EP ⊥ HM at H and E

∴ TH // EP

- Paul's eyes are 6 feet above the ground

∴ EP = 6

- All these situations represent two triangles THM and EPM

- Δ THM represents the house , the tip of the roof and the mirror

- Δ EPM represents Paul's eyes , Paul position and the mirror

- In Δ THM

∵ TH // EP

∴ m∠ THM = m∠ EPM ⇒ alternate angles

∴ m∠ HTM = m∠ PEM ⇒ alternate angles

∴ Δ THM ≈ Δ EPM ⇒ AA similarity

∴ EP/TH = MP/MH

∵ EP = 6 , MP = 5 , MH = 25

∴ 6/TH = 5/25 ⇒ by using cross multiplication

∴ 5 TH = 6 × 25

∴ 5 TH = 150 ⇒ divide both sides by 5

∴ TH = 30

- TH is the height of the house

* The height of the house is 30 feet

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4 years ago