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3 years ago

Write an equation of the line that passes through the given point and is parallel

Mathematics

1 answer:

Semenov [28]3 years ago

3 0

So when an equation or set of equations are parallel, that means that the equations have the same slope.

for the given equation, it has a slope of 2.

so to find the equation of the other line, you substitute the coordinate and slope into the equation y=mx+b.

-2=2(3)+b

-2=6+b

-8=b

So your function that is parallel has a slope of 2 and a y intercept at -8 or (0,-8).

Then just substitute those values into the equation.

y=2x-8

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. He rowed 3 1/2 miles in 1/2 hour.What is the average speed in miles per hour.

Rudiy27

Answer:

7 miles per hour

Step-by-step explanation:

3 1/2 miles = 7/2 miles

1/2 hours= 30 minutes

So,

In 30 mins, travelled 7/2 miles

In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles

In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.

Hence, the speed is 7 miles per hour.

Hope this helps :)

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2 years ago

5r-2=6r+5 what does r equal

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Answer:

r=-7

Step-by-step explanation:

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3 years ago

Read 2 more answers

Write an equation to represent the relationship found in the table

PilotLPTM [1.2K]

Answer:

15= 5x+ 2

Step-by-step explanation:

y= mx+b

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2 years ago

Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

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3 years ago

How to determine a midpoint for a frequency table?

Semmy [17]

The class midpoint is the lower class limit plus the upper class limit divided by 2 . Add the midpoints column to the original table.

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3 years ago