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Elza [17]
3 years ago
15

The circumference of a circle is 657. In terms of pi, what is the area of the circle?

Mathematics
1 answer:
Komok [63]3 years ago
6 0

Answer:A≈34349.54

Step-by-step explanation: picture is attached with steps.

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An integer is three more than another integer. Twice the larger integer is two less
Amiraneli [1.4K]

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

3 0
3 years ago
What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)
Minchanka [31]
ANSWER

(3, 11) and (−3, −7)


EXPLANATION

The given system of equations are:


y =  {x}^{2}  + 3x - 7

and

3x - y =  - 2

or

y = 3x  + 2


We equate the two equations to obtain,



{x}^{2}  + 3x - 7 = 3x + 2

We rewrite in standard quadratic form to obtain,

{x}^{2}  + 3x  - 3x - 7 - 2 = 0


This simplifies to

{x}^{2}- 9= 0


We solve for x to obtain,


{x}^{2}  = 9

x =  \pm \sqrt{9}

x =  \pm 3

x = 3 \: or \: x =  - 3

When
x = 3

y = 3(3) + 2 = 11

When x=-3,

y = 3(  - 3) + 2 =  - 7


Therefore the solution for the system is (3, 11) and (−3, −7).
7 0
3 years ago
Read 2 more answers
Write x2 - 8x - 3 in vertex form.
crimeas [40]
Vertex form:

y = a(x - h)² + k

I have not learned this stuff yet, but by using online calculators, I can determine that the vertex form is:

Y = (x - 4)² - 19

I believe so :/
6 0
4 years ago
A rectangle has a height of 3p2+1 and a width of p3+4 your answer should be a polynomial in standard form
drek231 [11]

Answer:

3p^5+p^3+12p^2+4

Step-by-step explanation:

5 0
3 years ago
Yoko is going for a walk. She takes 5 hours to walk 12.5 miles. What is her speed?
Dennis_Churaev [7]

Answer:

2.5mph (miles per hour)

Step-by-step explanation:

Simple, 12.5/5 = 2.5 mph (miles per hour)

8 0
3 years ago
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