X + (2x + 7) = 121 : Write the expression.
3x + 7 = 121 : Combine like terms.
3x + 7 - 7 = 121 - 7 : Isolate x.
3x = 114 : Combined like terms.
3x / 3 = 114 / 3 : Find the value of x.
x = 38 : This is the smaller integer.
(2x + 7) = (2(38) + 7) = 76 + 7 = 83. : Find the value of the larger number by plugging in the value of x to the larger number's quantity.
The larger number is 83, and the smaller number is 38.
Hello from MrBillDoesMath!
Answer:
r = C/6.28
Discussion:
Note that C = 2 * Pi * r is the exact formula. As Pi is approximately 3.14, the given formula, C = 2 (3.14) r, is an approximation. Solving it for r:
C = 2(3.14) r => as 2 * 3.14 = 6.28
C = 6.28 r => divide both sides by 6.28
r ( 6.28/6.28) = C/6.28 => as 6.28/6.28 = 1
r = C/6.28
Thank you,
MrB
Circumference of Circle=C, =2(pi)(radius)
Radius of Circle=r
Side of square=x
f(x)=area of circle
g(r)=area of square
16 feet=C+4x
C=16-4x
2(pi)(r)=16-4x
2(pi)(r)=2(8-2x)
(pi)(r)=8-2x
r=(8-2x)/(pi)
x=(8-(pi)r)/2
f(x)=(pi)(r^2)
f(x)=(pi)((8-2x)/(pi))^2
f(x)=((8-2x)^2)/(pi)
f(x)=((64-32x+4x^2))/(pi)
g(r)=((8-(pi)r)/2)^2
g(r)=((64-16(pi)r+(pi)^2(r^2))/4
(x+1)(x+7)
= <span>x^2 + x +7x+7
= </span><span>x²+8x+7
answer
</span><span>D. (x+1)(x+7)</span>
Answer:
There's 10
Step-by-step explanation:
You count the little squares, which give you 9 and then you count the big square that all of the little squares are in, which gives you 10 squares in total