Just did a specific one of these; let's do the general case.
The point nearest the origin is (a,b).
The line from the origin through the point is
The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):
That's standard form; let's plug in the numbers:
21+1=22
Chaperones:supervises so won't be participating
143 divided by 22 equals 6.5
Answer:6.5
Are u sure u didn't misspelled 6.5 into 7.5?
Answer:
1. y = 9(x+1/2)^2 -13/4
Step-by-step explanation:
y = 9x^2 + 9x – 1
first isolate the x terms
y = 9(x^2 +x) -1
then add 1/4 inside the brackets to make it a perfect square trinomial (half of the coefficient of the x term squared is how we get 1/4)
since we just added 1/4 we need to subtract what we just added to balance the equation. so 1/4 times 9 is 9/4 ( the number we just added to the equation). then you subtract 9/4 outside of the brackets.
y = 9(x^2 +x +1/4) -1 -9/4
then simplify
y = 9(x+1/2)^2 -13/4
Answer:
Step-by-step explanation:
Notice that we are in the presence of an arithmetic sequence (there is a common difference of 6 between a term and the next). So thisis an arithmetic sequence with first term 
. and common difference "<em>d</em>" = 6.
Recall now the formula for the nth term (
) of an arithmetic sequence:
Then, using our values in the formula, we get:
Write out the equation;
y=a^b
y=(-2)^2
y=(-2)(-2)
y=4
Therefore, the value of a^b is 4
Hope I helped :)
