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Sedaia [141]
3 years ago
7

Please Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x -3

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0
Answer: A (-2, 1)
see image explanation attached

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A circle has a circumference of 28π centimeters. In terms of π, what is the area of the circle to the nearest square centimeter?
Vadim26 [7]

Hi there!

The formula to find the are of a circle is :

a = \pir²

The formula to find the circumference of a circle is :

c = 2\pir


In order to use the area formula, you need to figure out what the radius (r) is.

If we solve for "r" in the circumference equation, we have :

r = c ÷ (2\pi)


Now we use this to replace "r" in the area formula :

a = \pi ( c ÷ (2\pi))²


When we simplify this we get :

a = c² ÷ 4\pi


Now you can put your value of "c" into this equation and find "a".

*Remember, \pi is about 3.1416.


Solving for "a" :

a = c² ÷ 4\pi

a = 28² ÷ 4\pi


28² = 28 × 28 = 784


a = 784 ÷ 4\pi


4\pi = 4 × \pi = 12.56637061435917


a = 784 ÷ 12.56637061435917

a = 62.38873769202297cm²


You need to round to the nearest square centimeter, which means that you need to round to the nearest whole number :

a = 62cm²


There you go! I really hope this helped, if there's anything just let me know! :)

8 0
3 years ago
A line that includes the points (
barxatty [35]

Answer:

-7

Step-by-step explanation:

Refer to the photo.

the slope=(0-g)/(5-4)

i.e. 7=(-g)/1

g=-7

3 0
3 years ago
What is the answer to 56-4
Scilla [17]

Answer:

The answer is 52.

Step-by-step explanation:

Subtract 56 by 4. You'll get 52.

5 0
3 years ago
Read 2 more answers
Solve for n<br> -18 = 6<br> 3
mihalych1998 [28]

Answer:

−

6

=

3

7

n

Step-by-step explanation:

Rewrite the equation as  

3

7

n

=

−

6

.

3

7

n

=

−

6

Multiply both sides of the equation by  

7

3

.

7

3

⋅

3

7

⋅

n

=

7

3

⋅

−

6

Simplify both sides of the equation.

Tap for more steps...

n

=

−

14

6 0
3 years ago
Read 2 more answers
A retiree invests $5,000 in savings plan that pays 4% per year. What will the account balance be at the end of the first year ?
Ira Lisetskai [31]
$5000 + 4% = $5000.04
3 0
3 years ago
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