Answer:
Option B 346
Step-by-step explanation:
First box: 300 as 26x300=7800
Second box: 40 as 26x40=1040
Third box: 6 as 26x6=156
Thus, quotient is 300+40+6=346
My house is located at (1,1) and the store is located at (4,3) Each square is a mile. How far do I walk to get to the store?
B and D are the only correct ones
Answer:
<h2>C. 71.2 in²</h2>
Step-by-step explanation:
We have the square in the base with side a = 4in and four triangles with base a = 4in and height h = 6.9in.
The formula of an area of a square:
A = a²
Substitute:
As = 4² = 16 in²
The formula of an area of a triangle:
A = (ah)/2
Substitute:
At = [(4)(6.9)]/2 = 27.6/2 = 13.8 in²
The Surface Area:
S.A. = As + 4At
Substitute:
S.A. = 16 + 4(13.8) = 16 + 55.2 = 71.2 in²
If the take the origin as the starting point of the ball, then the vertex would be (4,28) and the parabola would be facing downwards. Using the general form of the parabola which is (x-h)^2 = 4p(y-k) where h and k are taken from the coordinate of the vertex (h,k).
So, the equation would be, (x-4)^2)=4p(y-28). To determine 4p, we can substitute either of the two points: (0,0) or (0,8). The second coordinate is taken from the given that the ball covers a distance of 4 ft after it reaches a maximum height. The total distance traveled by the ball is twice that, which is 8 ft.
After substituting, 4p = -4/7. Plugging this into the equation and after expanding and simplifying, the equation of the ball's trajectory is:
y = (-4/7)x^2+14x