Step-by-step explanation:
the opposite angles are equal
i.e. i) < A = <C ii) < B = < D
the opposite sides are equal that is
i)AB =CD
ii) AD= BC
the diagonals bisect each other
i) AO=OC
ii)BO=OD
the adjacent angle are supplementary . that is
i)<D + < C=180 DEGREE
ii)<A+<D=180degree
iii)<B+<C=180 degree
Answer:
y = (x + 4.5)² - 13.25
Step-by-step explanation:
y = x² + 9x + 7
We need to get a perfectly squared binomial as part of the right side.
Take the '9x' term, divide it in half, square it, add <u>and also subtract it </u>on the right side, as shown below. That would be (4.5)² = 20.25 added <u>and </u>subtracted.
y = x² + 9x + 7
y = x² + 9x + 20.25 + 7 - 20.25
y = (x² + 9x + 20.25) - 13.25
y = (x + 4.5)² - 13.25
y = (x + 4.5)² - 13.25
Vertex Form is y = a(x-h)² + k, where the parabola vertex is (h, k)
So if you wrote this as y = 1(x - [-4.5] )² + (-13.25), we would see that a = 1, and h = -4.5 and k = -13.25.
Vertex = (-4.5, -13.25)
I verified on a graphing calculator that this is indeed the vertex of the parabola.
Answer:
C)
Step-by-step explanation:
Actually, the answer is not on the choices you provided.
Divide the segment into 8 equal parts (since 3 + 5 = 8)
(11 - 3) / 8 = 8/8 = 1. So each x-segment will be 1 unit
(3 - 4) / 8 = -1/8. So each y-segment will be -1/8 unit.
CE will represent 3/8 of the line.
Ex = 3 + 1 * 3 = 3 + 3 = 6
Ey = 4 + (-1/8) * 3 = 4 - 3/8 = 29/8
<span>(6 , 29/8) is the point
I hope my answer has come to your help. Thank you for posting your question here in Brainly.</span>