Math Help Radius
March 29th, 2008
Question: I Need Math Help!!!!!!!!!!!!!!!!! Radius, Logarithms, Direct Distance, Factoring, Point Of Discontinuity?
I need help with a few questions:
1. Find the radius of the circle x^2 + y^2 + 16x – 24y – 17 = 0.
2. Solve for x to the nearest hundreth: 19^x = 420
3. Find the direct distance from the point (3,4) to the line 10x + 24y – 9 = 0.
4. Which of the following is a factor of the polynomial x^3 – 2x^2 – 13x – 10 ?
(x + 1), (x – 1), (x + 2)
5. The function f(x) = (x^2 – 5x – 14) / (2x^3 + 4x^2) has a point of discontinuity at x = ?
Any explanation would be great.
Answer: 1.
Rewrite as
(x+8)^2+(y-12)^2=15^2
Hence radius is 15.
2.
19^x = 420
x=log(420)/log(19)=2.05 (2dp)
3.
Distance is |10*3+24*4-9|/sqrt(10^2+24^2)=117/26=4.5
4.
x^3-2x^2-13x-10 =
(x+1)(x^2-3x-10) =
(x+1)(x-5)(x+2)
Hence (x+1) and (x+2) are both factors.
5.
f(x) = (x^2 – 5x – 14) / (2x^3 + 4x^2)
= [(x-7)(x+2)]/[2x^2(x+2)]
Point of discontinuity is at x=-2.
Volume of a Cone – YourTeacher.com – Math Help
Posted in 
Tags: