Keep in mind we'll convert the mixed fractions to "improper" and then proceed, also keep in mind that minus times minus is plus,
Answer:
Step-by-step explanation:
Equation of the Quadratic Function
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.
It's been given the vertex of the parabola as (-2,18):
Now substitute the point (-5,0) and find the value of a:
Operating:
Solving for a:
a = -2
Thus, the equation of the quadratic function is:
The perimeter is:
P = 2x + 2y = 80
The area is:
A = x * y
The area as a function of a variable is:
A (x) = x * (40-x)
Rewriting we have:
A (x) = 40x-x ^ 2
We derive the function:
A '(x) = 40-2x
We equal zero and clear x:
40-2x = 0
2x = 40
x = 40/2
x = 20 feet
The other dimension is:
y = 40 - x
y = 40 - 20
y = 20 feet
The area will be:
A = x * y
A = 20 * 20
A = 400 feet ^ 2
Answer:
The dimensions are:
x = 20 feet
y = 20 feet
The area is:
A = 400 feet ^ 2
We are given coordinates of the school located at a point (9,-1).
Library is located 5 blocks south and 4 blocks west .
According to coordinate axes, south is downward and west is on left side.
So, we need to move 5 units down of 9.
<em>5 units down of 9 would be 9-5 = 4.</em>
And then <em>4 blocks west that mean -1 -4 = -5.</em>
<h3>Therefore, coordinate of the library is located at the point (4,-5).</h3>
