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Olegator [25]
3 years ago
12

What is the slope of all lines parallel to the line 4x-5y+-1?

Mathematics
1 answer:
Bond [772]3 years ago
5 0

Given equation of the line ,

\implies 4x - 5y +(-1) = 0

Simplify ,

\implies 4x - 5y - 1 = 0

Transpose terms to RHS ,

\implies 5y = 4x - 1

Divide both sides by 5 ,

\implies \boxed{ y =\dfrac{4}{5}x -\dfrac{1}{5}}

Now we know the slope intercept form of the line as y = mx + c we have ,

  • m =\dfrac{4}{5}

As we know that the slope of all parallel lines are same . Henceforth ,

  • m_{|| \ lines } =\dfrac{4}{5}
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Lady_Fox [76]
K + a + h = 50
a = 2h
k = h - 10

(h - 10) + 2h + h = 50
4h - 10 = 50
4h = 50 + 10
4h = 60
h = 60/4
h = 15 <=== Henry sent 15

a = 2h
a = 2(15)
a = 30 <=== Aldo sent 30

k = h - 10
k = 15 - 10
k = 5 <=== Keiko sent 5
8 0
4 years ago
For this figure, what is the value of x?
andrew11 [14]
The angles inside a triangle always add up to 180 degrees.
The whole thing is one big triangle made of two smaller ones.

28 + 58 + 77 + x = 180
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x = 17
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3 years ago
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7 0
3 years ago
870.497 ÷ 0.823=?<br> round your answer to the nearest whole number
jarptica [38.1K]

Answer:

870.497 ÷ 0.823=1.057 so to the nearest whole number it would be 1

Step-by-step explanation:

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5 0
3 years ago
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A car seller buys a car from a manufacturer for $8,000. He increases the cost by 6 percent. What is the markup value?
murzikaleks [220]
Mark up value is either a fixed amount or a percentage of the total cost or selling price.

In this problem, mark up value is the percentage of the total cost.

To determine the retail price, total cost and mark up must be added.

Selling Price = Total Cost + Mark up value based on Total Cost

However, we are looking for the Total cost. Thus, our formula should be

Total Cost = Selling Price - Mark up value based on Total Cost.

Let X = total cost.
Selling Price = $8,000
Mark up vale = 6% of total cost.

X = $8,000 - 6%X
X = $8,000 - 0.06X

To get X, transfer -0.06X to the other side and change its sign from negative to positive.

X + 0.06X = $8000
1.06X = $8000

To get X, divide both sides by 1.06

1.06X / 1.06 = $8000 / 1.06

X = $7,547.17
total cost.

The problem is looking for the mark up value and since it states that the mark up value is 6% of the total cost, then:

Total Cost  x  6% = Mark up value

$7,547.17 x  0.06 = $452.83 mark up value

To check:

X + 0.06X = $8000

$7547.17 + $452.83 = $8000
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3 years ago
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