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tigry1 [53]
3 years ago
13

Find the equation of the line that is parallel to x=5y-8 and pass through (6, -5) in slope intercept form

Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8     (original equation)

x+8=5y <u>(Addition Property of Equality)</u>

1/5x+8/5=y <u>(Division Property of Equality, </u><u>slope </u><u>of </u><u><em>original equation </em></u><u>is </u><u>1/5</u><u>)</u>

<u />

y-y1=m(x-x1)    <u>(point-slope formula)</u>

y-(-5))=1/5(x-(6)) <u>(plug in the slope that was found earlier and the point given in the question)</u>

y+5=1/5(x-6)

y+5=1/5x-6/5   (Distributive Property of Multiplication)   Note:  5 = 25/5

<u>y=1/5x-31/5</u> (Subtraction Property of Equality, and there's your answer)

<u>y=0.2x-6.2</u><em> </em>(This is the same answer, but written with decimals)

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Answer:

4.9 units

Step-by-step explanation:

Distance between 2 points= sqrt [(x-x)^2 + (y-y)^2

A= -4,2) and B= (1,4)

d = sqrt[(-4-1)^2 + (2-4)^2]

= sqrt (25+4)

= sqrt29

= 4.9 units

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Selena is 6 years younger than pual. in 15 years, pual will be 4 times the age Selena is now. what are their present ages?
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Solve the math problem
Nadusha1986 [10]

<u>Answer:</u>

Below!

<u>Explanation:</u>

Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.

  • 2¹ = 2
  • 3⁵ = 3 x 3 x 3 x 3 x 3 = 243
  • 4³ = 4 x 4 x 4 = 64
  • 6⁴ = 6 x 6 x 6 x 6 = 1256
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  • 1⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 1
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  • 2³ = 2 x 2 x 2 = 8
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  • 10³ = 10 x 10 x 10 = 1000
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  • 1¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

Hoped this helped!

4 0
2 years ago
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