Answer:
18+12.125π units²
Step-by-step explanation:
The diameter of the semicircle can be found by the use Pythagoras theorem.
Δx²+Δy²=d²
Δx=3--1=4
Δy=3--6=9
d²=4²+9²
d=√(16+81)
Area=πr²/2
=π×(√(16+81)/2)²÷2
=[π×(97)/4]/2
=97π/8
=18+12.125π units²
97π/8 is equivalent to 18+12.125π units²
P-4(p-2(3-p))=12 remove the parentheses
P-4(p-6+2p)=12 collect like terms
P-4(3p-6)=12 remove the parentheses
P-12p+24=12 collect like terms
-11p+24=12 move the constant to the right
-11p=12-24 calculate
-11p=-12 divide both sides
P=12/11
Alternative form
P=1 1/11
Answer:
5/3 x + 15
Step-by-step explanation:
The inverse of a function is the reflection across the line y = x. As such, algebraically it is found by switching y and x in the equation and isolating to solve for y.
g(x) = 3/5 x - 9
x = 3/5 y - 9
x + 9 = 3/5 y
5(x+9) = 3y
(5x + 45)/3 = y
5/3x + 15 = y
Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
