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Aleonysh [2.5K]
3 years ago
15

What is the equation of the line that passes through the point (- 1, 5) and is parallel to the line y = - 3x + 5

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
5 0

Answer:

<h2>          y - 5 = -3(x + 1)</h2>

Step-by-step explanation:

Parallel lines has the same slope.

The equation of a line that passing through point (x₁, y₁) with a slope of m is:

y - y₁ = m(x - x₁)

m = -3

(-1, 5)   ⇒  x₁ = -1,  y₁ = 5

Therefore the equation:

y - 5 = -3(x + 1)

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Given (64y^2)+(4x^2)+128y+16x+64=0, transform the equation into the appropriate form
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Answer:

(8y+8)²+(4x²+16)=0

Step-by-step explanation:

Given:

(64y²)+(4x²)+128y+16x+64=0

Find:

Equation into the appropriate form

Computation:

(64y²)+(4x²)+128y+16x+64=0

(8y)²+(2x)²+128y+16x+64=0

(8y)²+(2x)²+2(8y)(8)+2(2x)(4) + 8²=0

(8y+8)²+(4x²+16)=0

6 0
3 years ago
1 1/5 + 3/4 - (-3 3/5) - (-2 1/4)
babymother [125]

Step-by-step explanation:

= 1 \frac{1}{5}  +  \frac{3}{4}  - ( - 3 \frac{3}{5} ) - ( - 2 \frac{1}{4} )

= 1 \frac{1}{5}  +  \frac{3}{4}  + 3 \frac{3}{5}  + 2 \frac{1}{4}

= (1 + 3 + 2) + ( \frac{1}{5} +  \frac{3}{4} +  \frac{3}{5}   +  \frac{1}{4}  )

= 6 + ( \frac{4 + 15 + 12 + 5}{20} )

=  6 +  \frac{36}{20}

= 1 + 6 +  \frac{16}{20}

= 7 +   \frac{4}{5}

= 7 \frac{4}{5}

8 0
3 years ago
Read 2 more answers
If it takes B hours to walk a certain distance at the rate of 3 miles per hour, the number of hours it takes to return the same
natita [175]

Answer:

It will take 0.75B hours for the return leg

Step-by-step explanation:

Here, given that the first leg of the trip was for B hours at 3 miles per hour , we want to calculate the number of hours the return leg will take at 4 miles per hour given that it is the same distance.

Mathematically, we know that ;

Distance = speed * time

So the distance taken on the first leg of the trip would be;

Distance = 3 miles per hour * B hours = 3B miles

Now, this distance was traveled on the return leg also.

This means that the time taken here will be;

Time on return leg = distance/speed = 3B/4 = 0.75B hours

5 0
3 years ago
What is the value of x in inches ?
Marysya12 [62]

Answer:

it really depends on what the question is.

Step-by-step explanation:

4 0
3 years ago
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?
ozzi

Answer:

15 inches

Step-by-step explanation:

42 = 2L + 2(6)

first, we need to isolate L.

solve 2(6) to make this easier

42 = 2L + 12

42 - 12 = 2L + 12 - 12 ( this cancels out 12. )

30 = 2L

30 ÷ 2 = 2L ÷ 2 ( this cancels out 2. )

15 = L

8 0
3 years ago
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