Answer:
The vertex is (5, 12)
Step-by-step explanation:
The vertex, from vertex form, is (h,k).
Vertex form is a(x - h)² + k
= 2(x - 5)² + 12
So h = 5, k = 12
The vertex is (5, 12).
I hope this helped!
Because of the relatively large coefficients {9, 42, 49}, applying the quadratic formula would be a bit messy. Instead, I've chosen to "complete the square:"
9x^2 + 42x + 49 = 0 can be re-written as 9 [ x^2 + (42/9)x ] = -49
Dividing both sides by 9, we get [ x^2 + (42/9)x ] = - 49/9
Completing the square: [ x^2 + (42/9)x + (21/9)^2 - (21/9)^2 ] = -49/9
[ x + 21/9 ]^2 = 441/81 - 441/81 = 0
Then [ x + 21/9 ] = 0, and x = -21/9 (this is a double root).
The range are the y values.
Range of {(-3, 4), (5, 11), (9, -1), (10, 13)} is {4, 11, -1, 13}
Answer:
JK = 18.8
Step-by-step explanation:
7/33 = 4/JK
132 = 7JK
JK = 18.86
Answer:
m times 2+x-12=0
2m+x-12=0
2m=-x+12
m=-1/2x+6
m=-1/2x+, x∈R
Step-by-step explanation:
