Quadratic equations are also used when gravity is involved, such as the path of a ball or the shape of cables in a suspension bridge. A very common and easy-to-understand application of a quadratic function is the trajectory followed by objects thrown upward at an angle.
So I will be assuming that EG = 8 is the length
of the line segment EG. If that's the case, therefore the coordinates of G would
simple be:
G =11 ± 8
G = 11 – 8, 11 + 8
G = 3, 19
<span>So G can have a coordinate of 3 or 19.</span>
Answer:
124.5
Step-by-step explanation:
We need to use two different area formulas to get our final answer.
We need the area formula for the triangle = (h*b) / 2; h = height, b = base.
We also need the area for the circle =
. r is radius, we will replace pi with 3.14 per instructions.
To start off, let's do the circle. A = 3.14*r^2. r is given to us, r is 8.
So, just plug this into a calculator:

This would be the area of the circle if it was full, however, we only have half of the circle, so we will divide the area in half to get our final circle area, which is 100.48 ft.
Now, for the triangle. Our height is the radius of the circle, which is 8. And our base is 6 feet. Use the formula to get the area for the triangle.
A = 8*6 / 2 = 24
The area of the triangle is 24 feet. Now, we will combine the triangle area and circle area to get our final answer.
100.48 + 24 = 124.48
Round to the nearest hundredth and you get: 124.5 ft^2
f(x) = (x + 7)² - 8
the equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
given the quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )
then the x-coordinate of the vertex is
= - 
f(x) = x² + 14x + 41 is in standard form
with a = 1, b = 14 and c = 41
= -
= - 7
substitute this value into the equation for y- coordinate
y = (- 7 )² + 14(- 7 ) + 41 = 49 - 98 + 41 = - 8
f(x) = (x + 7)² - 8 ← in vertex form
Answer:
100 cars
25 trucks
Step-by-step explanation:
$3c + $5t = $425
c + t = 125 vehicles
($3 * 100) + ($5 * 25) = $425
100 + 25 = 125
Therefore, they washed 100 cars and 25 trucks
Hope this helps!