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svlad2 [7]
3 years ago
15

Write an equation in point-slope form of the line that passes through the given point and with the given slope m.

Mathematics
2 answers:
denis23 [38]3 years ago
7 0

Answer:

y = 4x + 39

Step-by-step explanation:

  • The line passes through point (-8,7) and;
  • Has a slope (m) = 4

Let's take another point (x,y) on the line.

Slope (m) = change in y ÷ change in x

∴ m = \frac{y - 7}{x - -8} = 4

y = 4x + 32 + 7

y = 4x + 39

Svetach [21]3 years ago
5 0

Step-by-step explanation:

y-y1=m(x-x1)

y-7=4(x+8)

y-7=4x+32

4x-y=-39

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15.12 ÷ 12 = 1.26 per burger

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7x+2y=3 and x-3y=30, what is the value of y?
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<h3>I'm solving it using substitution method:-</h3>

<h3>7x+2y=3 {given}</h3>

<h3>=>7x=3-2y</h3>

<h3>=>x=(3-2y)/7-------(1)</h3>

<h3>x-3y=30 {given}</h3>

<h3>=>x=30+3y</h3>

<h3>=>(3-2y)/7=30+3y {putting the value of x from eqn 1}</h3>

<h3>=>3-2y=210+21y</h3>

<h3>=>3-210=21y+2y</h3>

<h3>=>-207=23y</h3>

<h3>=>y= -207/23= -9</h3>

<h3>putting the value of y on eqn(1):-</h3>

<h3>x=(3-2y)/7</h3>

<h3>x=>(3-2(-9))/7=(3+18)/7=21/7=3</h3>

<h2>Hence, x=3, y= -9</h2>

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3 years ago
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Find the rate of travel; it's distance divided by time:

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3 years ago
The Bourassas decide to sell a home for $440,000. They are charged a real estate commission of 8% of the selling price, title in
ololo11 [35]

The amount received net of expenses is $397865 and the percentage of the sale price was 10%.

Given that Bourassas decides to sell a house for $ 440,000. You will be charged a real estate fee of 8% of the sale price, property insurance of 1.4% of the sale price, and an escrow fee of $ 775.

The declared retail price is $ 440,000.

Real estate commission = 8% of the sale price

Real Estate Fee = (8/100) × 440000

Real Estate Fee = 8 × 4400

Real Estate Fee = $ 35,200

Security insurance costs of the title = 1.4% of the sale price

Cost of title insurance = (1.4 / 100) × 440 000

Cost of title insurance = 1.4 × 4400

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The escrow fee assigned is $ 775.

(a) In determining the amount received after deducting the sale price of the property commission, title insurance and escrow fees, we receive

Amount received after fees = sale price - real estate commission - title insurance - escrow fees

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The amount received after fees = $397865

(b) To find the percentage of sale price, add together all the terms real estate commission, title insurance and escrow fees and divide by the sale price we get

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Percentage of sale price = 10% (rounded down)

Hence Bourassas decides to sell a house for $440,000, then the amount Bourassas will receive after expenses is $397,865 and the percentage of the sale price of expenses is 10%.

Learn more about selling price from here brainly.com/question/11067377

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