The vertex form of the equation of a parabole is (x - h)^2 + k
So you must complete squares to transform x^2 -2x - 6 in its vertex form.
1) convert x^2 - 2x in a square => (x - 1)^2 - 1
2) Add the constant term - 6 => (x - 1)^2 -1 - 6
3) Add similar terms => (x - 1)^2 - 7
You can verify that (x - 1)^2 - 7 is equal to x^2 - 2x - 6:
x^2 - 2x + 1 - 7 = x^2 - 2x - 6. So, do not doubt it, the vertex form is (x - 1)^2 - 7, where the coordinates of the vertex are (1, - 7)
Answer: option A (x - 1)^2 - 7
Answer:
x = 5/4
y = 15/16
Step-by-step explanation:
Let's solve your system by substitution.
y = 3/4x; 5/2x + 2y = 5
Answer:
A
Step-by-step explanation:
Answer: 6928
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Explanation:
We have two areas we need to find: The area of the trapezoid and the area of the rectangle. Let's call these areas A1 and A2.
Area of Trapezoid = (height)*(base1+base2)/2
A1 = h*(b1+b2)/2
A1 = 80*(150+100)/2
A1 = 80*250/2
A1 = 20000
A1 = 10000
Area of Rectangle = (length)*(width)
A2 = L*W
A2 = 48*64
A2 = 3072
Subtract the two areas (A1-A2) to get the difference D
D = A1 - A2
D = 10000 - 3072
D = 6928
This difference D is exactly equal to the shaded area.