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Svetach [21]
4 years ago
9

What is the equation of the line that passes through (4,8) and is parallel to the graph y=1/2x-3 ?

Mathematics
1 answer:
Makovka662 [10]4 years ago
3 0

Answer:

The Answer is: The y intercept form for a line that is parallel to the given equation and passes through the given point is: y = 1/2x + 6.

Step-by-step explanation:

Given a point: (4, 8)

Given and equation:

y = 1/2x - 3

Write an equation parallel that passes through the point (4, 8).

Start with the point-slope form of the equation, use the slope m = 1/2 from the given equation:

y - 8 = 1/2(x - 4)

Solve for y to get the slope intercept form:

y - 8 = 1/2x - 2

y = 1/2x - 2 + 8

y = 1/2x + 6

Proof:

Solve for f(x) when x = 4

f(4) = 1/2x + 6

= 1/2(4) + 6

= 2 + 6 = 8, giving the point (4, 8)

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Answer:

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Step-by-step explanation:

6 0
3 years ago
A very large book is numbered to 1 to 11521 How many digits are used to print all these page numbers
stealth61 [152]

Answer:

46,499 digits

Step-by-step explanation:

Total pages of book = 11,521

9 pages numbered 1 - 9 that need 1 digit each = 9 × 1

= 9 digits

90 pages numbered 10 - 99 that need 2 digits each = 90 × 2

= 180 digits

900 pages numbered 100 - 999 that need 3 digits each = 900 × 3

= 2,700 digits

9000 pages numbered 1000 - 9999 that need 4 digits each = 9000 × 4

= 36,000 digits

1522 pages numbered 1000 - 11521 that need 5 digits each = 1522 × 5

= 7,610 digits

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5 0
3 years ago
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3 years ago
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Step-by-step explanation:

3 0
3 years ago
Find the surface area of a cylinder with a base diameter of 8ft and a height of 6ft. Write your answer in terms of pi, and be su
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Given that diameter of the base of the cylinder = 8 ft

Given that height of the cylinder = 6 ft

We have to find the surface area of the cylinder in terms of pi.

So we need to use formula of surface area of the cylinder which is

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3 0
3 years ago
Read 2 more answers
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