The answer to this problem is 18. 6*3=18 hopefully this helped!!
1: 7.2 cant get a whole number
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 6 (second option)
Step-by-step explanation:
Focus: F=(3,4)=(xf, yf)→xf=3, yf=4
Directrix: y=8 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=8 must intercept the axis of the parabola at the point (3,8), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,8) and (3,4):
h=(3+3)/2→h=6/2→h=3
k=(8+4)/2→k=12/2→k=6
Vertex: V=(h,k)→V=(3,6)
p=yf-k→p=4-6→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 6
f(x)=[ 1 / (-8) ] (x-3)^2 +6
f(x)= - (1/8) (x-3)^2 + 6
21:15 because 8:40 + 22 minutes = 9:02
<span>80 ft^2
Looking at the figure, you can easily determine that it's made of two separate figures, a rectangle that's 2 feet by 16 feet, and a triangle that has sides of 16 feet, 10 feet, and 10 feet. The triangle can then be divided into two right triangles with a hypotenuse of 10 feet and one leg of 8 feet, so you can use the Pythagorean theorem to calculate the other leg (which is also the height of the large triangle mentioned above). That value is sqrt(10^2 - 8^2) = sqrt(100 - 64) = sqrt(36) = 6.
So we now know that the large 16,10,10 triangle has a base of 16 and a height of 6. So let's calculate the area of the entire figure.
A = 2*16 + 16*6/2
A = 32 + 16*3
A = 32 + 48
A = 80
So the area of the entire figure is 80 square feet.</span>
