ANSWER
The graph in option D.
EXPLANATION
The given function is:
We complete the square to obtain:
The graph of this function opens upwards and has its vertex at (2,-2).
The y-intercept is 10.
From the options the graph that satisfies all these properties is D.
Given:
The given volume formulas to calculate the volume of a rectangular
pyramid.
To find:
The correct volume formula.
Solution:
The volume of a rectangular pyramid is:
Where, B is the base area of the rectangular pyramid and h is the vertical height of the rectangular pyramid.
Therefore, the correct volume of a rectangular pyramid is .
Note: In the given problem, the options are not in correct form.
Answer:
Roots of the equation are (−3−√7) , (−3+√7)
Step-by-step explanation:
For solving a quadratic equation using completing the square method:
given equation:
y = x^2 - 6x +2
0 = x^2 - 6x + 2
0 = x^2 - 3^2 + 3^2 -6x +2
0 = (x-3)^2 -7
7 = (x-3)^2
± = x-3
± + 3 = x
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