Answer:
(8,-3)
Step-by-step explanation:
The given parabola is
We factor -3 from the first two terms to get:
Add and subtract the square of half the coefficient of x
We simplify to get:
We compare this to y=a(x-h)²+k,
The vertex is (h,k)=(8,-3)
You are riding your bicycle to prepare for a race. it takes you 12 minutes to go 2.5 miles. what was your speed in miles per hou
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Answer:
The solution of this system of equations is (3 , -8)
Step-by-step explanation:
The given system is
x + 2y = -13
12x + 5y = -4
We make x the subject of the first equation and put it into the second:
We put this expression for x into the second equation
12(-13-2y)+5y=-4
-156-24y+5y=-4
-24y+5y=-4+156
-19y=152
y=-8
We substitute y=-8 into x=-13-2y to get:
The solution of this system of equations is (3 , -8)