SOLUTION: Need help! Studying for my final exam and unable to comprehend the following from quiz given. 1. Give the center of the circle with equation x2+2x+y2-10y+22=0. 2. Find an equat

Question 67834: Need help! Studying for my final exam and unable to comprehend the following from quiz given.
1. Give the center of the circle with equation x2+2x+y2-10y+22=0.
2. Find an equation for the line with slope 1/2 and y-intercept 3.
3. Find the slope of the line through the points A(-1, 6) and B(5, 2).
4. Find an equation for the line with y-intercept 3that is perpendicular to the line y=2/3 x-4.
5. If f(x)=x2+5, find f(a+h)-f(a).
Please respond ASAP...Thank You, John
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Need help! Studying for my final exam and unable to comprehend the following from quiz given.
1. Give the center of the circle with equation x2+2x+y2-10y+22=0.
(X+1)^2-1^2+(Y-5)^2-5^2+22=0
HENCE THE CENTER OF CIRCLE IS (-1,5)
2. Find an equation for the line with slope 1/2 and y-intercept 3.
Y=(1/2)X+3=0.5X+3
3. Find the slope of the line through the points A(-1, 6) and B(5, 2).
SLOPE=(2-6)/(5+1)=-4/6=-2/3
4. Find an equation for the line with y-intercept 3that is perpendicular to the line y=2/3 x-4.
SLOPE OF PERPENDICULAR LINE =-3/2.........HENCE EQN.OF LINE IS
Y=(-3/2)X+3=-1.5X+3
5. If f(x)=x2+5, find f(a+h)-f(a).
F(A+H)=(A+H)^2+5
F(A)=A^2+5
F(A+H)-F(A)=(A+H)^2-A^2=H^2+2AH
RELATED QUESTIONS
Word Problem A student is given this formula to calculate their grade for the term (answered by Fombitz)

For the following info, what is the probability of a randomly selected student having... (answered by richwmiller)

Determine the point A9x, y) so that the points A(x,y), B(0,3), C(1,0), D(7,2) will be the (answered by stanbon)

If I have an overall average of 85% in my class, and the final exam counts for 40% of my... (answered by jim_thompson5910)

Missed the following on Chapter quiz; please help studying for exam: Find a polynomial (answered by stanbon)

Studying for final exam and require assistance with the following problems: If... (answered by stanbon)

To Whom It May Concern: Your assistance is greatly appreciated. Didn't have the... (answered by ybalkas)

Please help me with this: An instructor believes that the average quiz score is a good (answered by Boreal)

I have an 80% in my my, and my final exam is worth 20% of my final grade. What grade do I (answered by JBarnum)