Circumference of a Circle,C=2πr
π=3.14
r= of the circle
Area of the circle= πr²
We know that
Area= 49 π²
πr²=49
r²=49/π
=49/3.14
=15.60
r= √15.60
=3.9 units
Circumference of a Circle,C=2πr
=2*3.14*3.9
=24.492 units
Answer:
Vertex ( 5 ,8) .
Step-by-step explanation:
Given : f(x) = 2(x − 5)² + 8.
To find : Determine the vertex of the function .
Solution : We have given
f(x) = 2(x − 5)² + 8.
Vertex form of parabola : f (x) = a(x - h)² + k, where (h, k) is the vertex.
On comparing f(x) = 2(x − 5)² + 8. with vertex form of parabola.
a = 2 , h = 5 , k = 8 .
Vertex ( 5 ,8) .
Therefore, Vertex ( 5 ,8) .
Answer:
32
Step-by-step explanation:
We are given the expression:

and asked to evaluate the expression.
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Solve inside the parentheses first. Subtract 37 from 13.
⇒ 13-37= -24

Next, multiply -8 and -24.
⇒ -8*-24= 192

Finally. divide 192 by 6.
⇒ 192/6 = 32

When evaluated, the expression -8(13-37)/6 is equal to 32.
(x - 3) + (x - 6) + x = 63
x - 3 + x - 6 + x = 63
Combine like terms
3x - 9 = 63
Isolate the constant
3x - 9 + 9 = 63 + 9
3x = 72
Isolate the viable
3x / 3 = 72 / 3
x = 24
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