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sveticcg [70]
3 years ago
10

Write an equation of the line that passes through the points (-1, -2) and (2.4)

Mathematics
1 answer:
Lelu [443]3 years ago
3 0

Answer:

As eq of line passing through 2 points is

y-y1 = (y2-y1)/(x2-x1) ][ x -x1)

where (X1,y1)( x2, y2) denotes points lying on line

substitute (X1 ,y1) by( -1,-2) and (X2,y2) by( 2,4)

y+2 = 6/3 )( x+1)

y+2= 2x +2

y = 2x is required equation

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The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere. Wh
viktelen [127]

Answer:

Radius of sphere is 3 units.

Step-by-step explanation:

Volume of sphere is given by 4/3 \pi r^3

surface area of sphere is given by 4 \pi r^2

where r is the radius of the sphere.

Given that

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.

we equate formula of Volume of sphere  and surface area of sphere

assuming r as the radius.

thus,

4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3

Thus, radius of sphere is 3 units.

5 0
3 years ago
Adisa borrows $5,000 at 14% interest, compounded twice a year. How much does she owe at the end of 8 years?
N76 [4]

The borrower owes $14,760.82  at the end of 8 years

What is compounding interest?

Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.

Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:

FV=PV*(1+r/n)^(n*t)

FV=loan balance after 8 years=unknown

PV=loan amount=$5,000

r=annual interest=14%

n=number of times in a year that interest is compounded=2(twice a year)

t=loan period=8 years

FV=$5000*(1+14%/2)^(2*8)

FV=$5000*(1.07)^16

FV=$5000*2.95216374856541

FV=loan balance after 8 years=$14,760.82

Find out more about semiannual compounding on:brainly.com/question/7219541.

#SPJ1

4 0
2 years ago
Ike has a paper route. When he carries the Sunday paper his backpack is very heavy and Ike ends up with very sore shoulders.Ike
RideAnS [48]

If Ike does not want more than 20 pounds in his backpack, this means he wants less than or equal to 20 pounds in his backpack. Because each paper costs 1/3 pound, this can be used as the rate of change and we can set up the following inequality:

1/3x < 20

To solve this inequality, we should divide both sides of the equation by 1/3.

x < 60

Because this inequality means that x is less than or equal to 60, the answer is that Ike can carry 60 papers in his backpack.

Hope this helps!

8 0
3 years ago
Can someone help me with my math my teacher is getting on my nerves
zysi [14]

Answer:

yes I can

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Standerd form of 60,000 4,000 300 7
katrin2010 [14]
Answer: 64,307
There you go ;)
5 0
3 years ago
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