The generic equation of a parabola is:
f (x) = ax ^ 2 + bx + c
To verify the equation of the parabola you need three points:
f (x) = ax ^ 2 + bx + c
We choose the points:
(x, y) = (- 1,7)
7 = a (-1) ^ 2 + b (-1) + c
7 = a - b + c
(x, y) = (0,5)
5 = a (0) ^ 2 + b (0) + c
5 = c
(x, y) = (- 2,5)
5 = a (-2) ^ 2 + b (-2) + c
5 = 4a - 2b + c
We solve:
c = 5
5 = 4a - 2b + 5
7 = a - b + 5
Rewriting
b = 2a
a-b = 2
Substituting:
a-2a = 2
a = -2
b = -4
The equation of the parabola is:
f (x) = - 2x ^ 2 -4x + 5
Answer:
1800
is the area of parallelogram.
Step-by-step explanation:
Given that:
Area of a triangle = 900
To find:
Area of a parallelogram which has same height and base as that of the given triangle.
Solution:
First of all, let us have a look at the formula for Area of a parallelogram:
...... (1)
So as to find the area of a parallelogram, we need to have the product of Base and Height of Parallelogram.
Now, let us have a look at the formula for area of a triangle:

Given that height and base of triangle and parallelogram are equal to each other.
So,the product of base and height will also be equal to each other.

By equation (1):
<em>Area of parallelogram = 1800 </em>
<em> </em>
Answer:
3. Look at the least amount of time practicing. That is 1/4 hours. Then look at the most time practicing, an hour and a half. Subtract 1 1/2 by 1/4.
4. Look at the dots in the plot. The one in the middle is the highest because it appears the most. The most common time is 3/4 of an hour.
5. To see the total time, add all of the numbers up, including the repeated ones.
1. The perimeter of the square is 32 units, means each side is 32/4=8 units.
rotating the square about line k forms a cylinder with base radius equal to 8 units, and height equal to 8 units. (check the first picture)
the circumference of the base is C=2πR=16π units=16*3.14 units = 50.24 units.
Answer: <span>a cylinder with a circumference of about 50 units
2.
Rotating the equilateral triangle around line a, produces a cone with base radius equal to half of one side of the triangle, that is r=10mm.
(check picture 2)
The circumference is </span>C = 2πr=<span>C = 2*3.14*10=62.8 mm
Answer: </span><span>a cone with a base circumference of about 63 mm</span>