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2 years ago

Write the equation of the line that passes through the given point and is parallel to the given line. (5, -4); y = 1/5x - 4

Mathematics

1 answer:

kow [346]2 years ago

8 0

parallel = same slope

y=1/5x-4

slope= 1/5x

solve using for b using y=mx+b

-4=(1/5)(5)+b

-4=4+b

(subtract -4 from both sides)

-8=b

put your equation together:

y=1/5x-8

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Can someone help! I know the answer I just need step by step!

baherus [9]

Answer:

$4 \sqrt{2}$

Step-by-step explanation:

Rewrite 32 as the product of 16 and 2:

$\implies \sqrt{32}=\sqrt{16 \cdot 2$

Apply exponent rule $\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}$

$\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}$

Rewrite 16 as 4²:

$\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}$

Apply exponent rule $\sqrt{a^2}=a$

$\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}$

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2 years ago

Read 2 more answers

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additiona

11111nata11111 [884]

Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

x = 200

200 miles

3 0

2 years ago

Please help! I’m very confused on this question. I’m not very good at geometry.

Ahat [919]

Well, to find the perimeter we have to add all of the side lengths, so let's do that:

2x+3 +2x+3 +2x

And we know that this equals 36 so let's solve for x

2x+3+2x+3+2x = 36

6x+6 = 36

6x = 30

x = 5

So we know know that x = 5.

Now all you have to do is plug in the values of x into the lengths

2(5) + 3

= 10+3

= 13 is the length of two of the sides.

= 2(5)

= 10

And 10 is the length of the last side.

8 0

3 years ago

Read 2 more answers

Which is the domain of y=10-2x^

liberstina [14]

Y=10x

hope this helped, have a good day

8 0

3 years ago

I need help n explainnnn please

kobusy [5.1K]

The Correct option is D). y=1x+1 And y=2x+2

Step-by-step explanation:

The equation of a line is given as y=mx+c.

where m=slope of line and c=y intercept

The slope of line is given as m= $\frac{(Y2-Y1)}{(X2-X1)}$

Solving for Redline:

From the given graph, redline passes through (-1,0) and (0,1)

The slope of Redline is m= $\frac{(Y2-Y1)}{(X2-X1)}$

The slope of Redline is m= $\frac{(1-0)}{(0-(-1))}$

The slope of Redline is m=(1)

And Y-intercept is 1

The equation of a Redline is given as y=1x+1

Solving for Blue-line:

From the given graph, Blue-line passes through (-1,0) and (0,2)

The slope of Blue-line is m= $\frac{(Y2-Y1)}{(X2-X1)}$

The slope of Blue-line is m= $\frac{(2-0)}{(0-(-1))}$

The slope of Blue-line is m=(2)

And Y-intercept is 2

The equation of a Blue-line is given as y=2x+2

The Correct option is D). y=1x+1 And y=2x+2

7 0

3 years ago