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2 years ago

Find the equation of the line that passes through (4,4) and is parallel to y=2x+4. Leave your answer in the form

Mathematics

2 answers:

Yanka [14]2 years ago

7 0

Answer:

y = 2x - 4

Step-by-step explanation:

Explanation is in the form.

Bess [88]2 years ago

4 0

Answer:

y=2x-4

Step-by-step explanation:

If a line is parallel to another line, the only thing that's different in the equation is the y-intercept. Therefore we can solve for the y-intercept using the point (4,4)...

Note that the slope-intercept equation is y=mx+b where b is the y-intercept and m is the slope. x and y are the x and y coordinate pairs.

y=2x+b

4=2(4)+b

4=8+b

b=-4

Therefore the equation of the line that is parallel to y=2x+4 and passes through (4,4) is...

y=2x-4

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B) The number of volume of a cylinder is half of its number of the total surface area.

faust18 [17]

Answer:

$V=179.6cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$V=\pi r^2h$

where r is the radius and h is the height.

and the surface area:

$SA=2\pi r^2+2\pi rh$

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

$V=\frac{1}{2}SA$

substitutig the equivalent expressions on each side:

$\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)$

and we simplify and solve for the height (since is the value we don't know of the cylinder):

$\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)$

we substitute the value of the radius $r=7cm$ , and we get:

$h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm$

thus the volume is:

$V=\pi r^2h$

$V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3$

3 0

3 years ago

Read 2 more answers

AJLK ~ APQR. Find the value of x. P 45 36 15 39 K 13 x=

alexgriva [62]

Answer:

36 divided by 2 is 18 = plus 1p

Step-by-step explanation:

3 0

3 years ago

In February Liliana spent 35 hours watching Netflix. In march she only spent 18 hours watching. What was the percent decrease in

ArbitrLikvidat [17]

I think the answer would be a

3 0

3 years ago

Mrs. Ramiriz is making pies to sell at the local farmer’s market. It costs her $5 to make each pie, plus a one-time cost of $30

gregori [183]

The answer is 5x + 30 = 12x

x - the number of pies

It costs her $5 to make each pie, plus a one-time cost of $30 for baking supplies:
COST: f(c) = 5x + 30

She plans to sell the pies for $12 each:
PROFIT: f(p) = 12x

To find the number of pies she needs to sell to break even:
f(c) = f(p)
5x + 30 = 12x

5 0

3 years ago

PLZ HURRY carrie is 3 times as old as Eva. in 15 years Carrie will be twice as old as Eva. how old are they both now

astraxan [27]

Answer:

Age of Eva = 15 Years

Age of Carrie = 45 Years

Step-by-step explanation:

Let the age of Eva be X years

Given that Carrie is 3 times as old as Eva

Therefore age of Carrie = 3X YEARS.

__________________________________________________________

After 15 years

Age of Eva = X + 15

Age of Carrie = 3X +15

Given that Carrie is twice as old as Eva

so according to this condition

age of Carrie = 2*Age of Eva

Substituting the age of Eva and Carrie

3X +15 = 2*(X + 15 )

=> 3X +15 = 2X +30

=> 3X - 2X = 30 - 15

=> X = 15

Since X was assumed age of Eva so age of Eva is 15 years

age of Carrie = 3X years = 3*15 = 45 years.

4 0

3 years ago

Find the equation of the line that passes through (4,4) and is parallel to y=2x+4. Leave your answer in the form​

Find the equation of the line that passes through (4,4) and is parallel to y=2x+4. Leave your answer in the form