Answer:
48 π
Step-by-step explanation:
Area of Circle =πr∧2
Big Circle Area = π(8)∧2 = 64π
Small Circle Area =π(4)∧2= 16π
Shaded Region = 64π - 16π = 48π
Answer:
6
Step-by-step explanation:
We want to expand this; (x + y)⁴
This can be written as;
(x + y)² × (x + y)²
This gives;
(x² + 2xy + y²) × (x² + 2xy + y²)
This gives;
x²(x² + 2xy + y²) + 2xy(x² + 2xy + y²) + y²(x² + 2xy + y²) = x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴
Simplifying gives;
x⁴ + 4x³y + 4xy³ + 6x²y² + y⁴
Thus, the coefficient of x²y² is 6
Answer:
14 and 22
Step-by-step explanation:
If x is the first number, then 36-x is the second. We are told that ...
2x -(36-x) = 6 . . . . twice the first less the second is 6
3x = 42 . . . . . . . . . add 36
x = 14
(36 -x) = 22
The numbers are 14 and 22.
Answer:
x = 27
Step-by-step explanation:
To isolate x, we can multiply it by the reciprocal of the fraction (-3/2). We do the same to the -18.
Through cross-multiplication, -18/1 x -3/2 simplifies into -9/1 x -3/1 (because 2 goes into 2 once and 2 goes into -18 -9 times).
-9 x -3 = 27; therefore, x = 27
