Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function
</u>
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:
We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:
Thus if we add and subtract 1:
Operating:
The trinomial in parentheses is a perfect square:
Adding 4:
Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).
Answer:
1. 1800 square cm.
2. See below
3. 45000 square cm.
Explanation:
Part 1
The dimensions of the drawing are 36cm by 50cm.
Part 2
Given a scale factor, k
If the area of the scale drawing is A; then we can find the area of the actual board by multiplying the area of the scale drawing by the square of k.
Part 3
Therefore, the area of the actual drawing will be:
Answer:
No Solution
Step-by-step explanation:
if one side is 4, another side -8z and +8z cancels, left -7
4 ≠ -7
Answer:
1.5 Liters
Step-by-step explanation:
500ml=0.5L
(0.5L)x3= 1.5L
Answer:
22 pi ft
Step-by-step explanation:
We can use the area to find the radius
A = pi r^2
121 pi = pi r^2
Divide each side by pi
121 = r^2
Take the square root
sqrt(121) = sqrt(r^2)
11= r
Now we need to find the circumference
C = 2*pi*r
C = 2* pi *11
C = 22 pi ft
