Answer:
8 1/6 written as an improper factrion is 49/6
Step-by-step explanation:
Answer: (x - 1)² + (y - 1)² = 25
<u>Step-by-step explanation:</u>
The formula for a circle is (x - h)² + (y - k)² = r² where
- (h, k) is the center
- r is the radius
Typically, you are given the center and the radius. In this problem, you are given (x, y) so you must plug that into the equation to find r².
Given: (x, y) = (-3, 4) and (h, k) = (1, 1)
(-3 - 1)² + (4 - 1)² = r²
(-4)² + (3)² = r²
16 + 9 = r²
25 = r²
Next, input (h, k) and r² into the equation
(x - 1)² + (y - 1)² = 25
A) approx = 1-8x
b) f(x) -8(1-x)^-1 approx = -8(1+x) = -8 - 8x
because 1/x = x^-1...
c) f(x) = (1+x)^-1/2 approx = 1- 1/2x
d) f(x) = (4+x^2)^1/2 approx = 4 + 1/2x^2
e) f(x) = (6+3x)^1/3 approx = 6+x
<h2><u>The value of x is equal to 6.</u></h2>
2 + 3x = 20
Subtract 2 from both sides.
3x = 18
Divide both sides by 3.
x = 6
