Answer:
y=8x-69
Step-by-step explanation:
you would use the equation y-y1 = m (x - x1)
plug in m = 8 , y1 = 3, x1 = 9
now you have y - 3 = 8 (x-9)
distribute 8 --> y-3 = 8x - 72
add three to both sides to get y = 8x - 69
Answer:
x=-8 OR X=2
Step-by-step explanation:
X²+6X-6=10
X²+6X-16=0
X²+8X-2X-16
X(X+8)-2(X+8)
X+8=0 X-2=0
X=-8 OR X=2
Answer:
b
Step-by-step explanation:
F(f-1x) will be equal to x
take a simple example
f(x) = 2x
so x = f(x) / 2
f-1(x) = x/2
f(f-1x) = 2 ( x/2) = 2 * x/2 = x
Answer:
a) ⅓ units²
b) 4/15 pi units³
c) 2/3 pi units³
Step-by-step explanation:
4y = x²
2y = x
4y = (2y)²
4y = 4y²
4y² - 4y = 0
y(y-1) = 0
y = 0, 1
x = 0, 2
Area
Integrate: x²/4 - x/2
From 0 to 2
(x³/12 - x²/4)
(8/12 - 4/4) - 0
= -⅓
Area = ⅓
Volume:
Squares and then integrate
Integrate: [x²/4]² - [x/2]²
Integrate: x⁴/16 - x²/4
x⁵/80 - x³/12
Limits 0 to 2
(2⁵/80 - 2³/12) - 0
-4/15
Volume = 4/15 pi
About the x-axis
x² = 4y
x² = 4y²
Integrate the difference
Integrate: 4y² - 4y
4y³/3 - 2y²
Limits 0 to 1
(4/3 - 2) - 0
-2/3
Volume = ⅔ pi
