How do you simplify?
2 answers:
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Answer:
Shifted right 6 units.
Step-by-step explanation:
can be written as a squared binomial since it is of the form:
which can be written as
.
When comparing the expression to the trinomial just mentioned it should be noted that is -6. So
can be written as:
.
Note: Vertex form of a quadratic is where (h,k) is the vertex.
The vertex of the parent is (0,0) and the vertex of is (6,0). So the parent has shifted right 6 units to get to where
is located.
Answer:
A = picture attached
B = 51 in²
Step-by-step explanation:
The picture attached is the answer for part A. You use the dimensions you already know from the first picture to fill in the net of the slice of pie.
Area of the triangle = 1/2 (base × height)
A = 1/2 (4 × 6) = 1/2 (24) = 12
The area of the triangle is 12. The top is a triangle, but the bottom is also a triangle with the same area. Therefore, the area of the two triangles combined is 24 in². Next, we have to find the area of the rectangle at the sides of the pie.
Area of rectangle = length × width
A = 5 × 2.5 = 12.5
Since there are two rectangles with the same area on both sides of the pie, we can double it and get 25 in². We still have one rectangle left, the one at the back of the pie.
A = 6 × 2.5 = 15
Add the areas altogether to get the answer.
24 + 12.5 + 15 = 51.5 in²
I hope this helps. Sorry if Part B's answer is wrong.
