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VMariaS [17]
3 years ago
15

The equation of the line EF is y=2x+1. Write an equation of a line parallel to line EF in slope intercept form that contains poi

nt 0,2
Mathematics
2 answers:
saul85 [17]3 years ago
5 0
Y = 2x + 2

The slope must stay the same since they are parallel and the new point would be the y intercept. 
Ymorist [56]3 years ago
5 0
First, know that - 
· slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept
· parallel lines have the same slope

Given the above, the slope of line EF is 2. This means the equation of the line parallel to line EF will also have a slope of 2 (parallel lines share a slope). If we plug in our slope, the slope-intercept equation becomes y = 2x + b.

Now, we have to find b, the y-intercept. Since the line must pass through the point (0, 2), we can plug it in for the (x, y) values in our equation and solve algebraically for b.

    y = 2x + b
    2 = 2(0) + b
    2 = 0 + b
    2 = b

The y-intercept is 2. We now have the complete equation in slope-intercept form parallel to y = 2x + 1 which passes through the point (0, 2)

Answer:
y = 2x + 2
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Alexxandr [17]

Answer:

a ) dAt/dt  =  50,24 in/min

dh/dt  =  -  0,125 in/min

Step-by-step explanation:

The area of the top is At :

At = π*r²

a)  Tacking derivatives with respect to time:

dAt/dt  =  2* π*r * dr/dt

At   t  =  t₁      r  = 16 in     and  dr/dt =  0,5

Then

dAt/dt  =  2*3,14*16*0,5   in/min

a ) dAt/dt  =  50,24 in/min

b) The volume of the cylinder is:

Vc =  π*r²*h     ( where h is the heigh of the cylinder )

Tacking derivatives with respect to time

dVc/dt  =  2* π*r*h*dr/dt  +  π*r²*dh/dt

But  dVc/dt  = 0  since the volume remains constant, then:

π*r²*dh/dt  = -  2* π*r*h*dr/dt

r*dh/dt  =  -  2*h*dr/dt

dh/dt  = - 2*0,5*2/16  in/min

dh/dt  =  -  0,125 in/min

4 0
3 years ago
(Help!!!!!PLEASE!!!!!) The circumference of circle A is four times the circumference of circle B. Which statement about the area
lyudmila [28]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
Add.
Vikki [24]

Answer:

5/6

Step-by-step explanation:

9/30 + 16/30 = 25/30 = 5/6

3 0
3 years ago
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The first term of an arithmetic sequence is equal to four and the common difference is three. find the formula for the value of
hichkok12 [17]

The formula for the value of nth term is a_{n} = 3n + 1

Step-by-step explanation:

The formula of the nth term in the arithmetic sequence is

a_{n}=a+(n-1)d , where

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  • d is the common difference between each two consecutive terms

∵ The first term of an arithmetic sequence is equal to four

∴ a = 4

∵ The common difference is equal to three

∴ d = 3

- Substitute these values in the rule of the nth term

∵ a_{n}=a+(n-1)d

∴ a_{n}=4+(n-1)3

- Simplify it

∴ a_{n}=4+3n-3

∴ a_{n}=1+3n

The formula for the value of nth term is a_{n} = 3n + 1

Learn more:

You can learn more about the sequence in brainly.com/question/7221312

#LearnwithBrainly

7 0
2 years ago
5 1 point 34 is 68% of what number?​
Ilya [14]

Answer:

50

Step-by-step explanation:

Fastest method for calculating 34 is 68 percent of what number. Assume the unknown value is 'Y' 34 = 68% x Y. 34 = 68 / 100 x Y Multiplying both sides by 100 and dividing both sides of the equation by 68 we will arrive at: Y = 3 x 100 / 68. Y = 50%. Answer: 34 is 68 percent of 50

4 0
2 years ago
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