Answer:
16-25
Step-by-step explanation:
I assume that the parabola in this particular problem is one whose axis of symmetry is parallel to the y axis. The formula we're going to use in this case is (x-h)2=4p(y-k). We know variables h and k from the vertex (1,20) but p is not given. However, we can solve for p by substituting values x and y in the formula with the y-intercept:
(0-1)^2=4p(16-20)
Solving for p, p=-1/16.
Going back to the formula, we can finally solve for the x-intercepts. Simply fill in variables p, h and k then set y to zero:
(x-1)^2=4(-1/16)(0-20)
(x-1)^2=5
x-1=(+-)sqrt(5)
x=(+-)sqrt(5)+1
Here, we have two values of x
x=sqrt(5)+1 and
x=-sqrt(5)+1
thus, the answers are: (sqrt(5)+1,0) and (-sqrt(5)+1,0).
Answer:
y = -4x - 12
Step-by-step explanation:
y + 4 = -4(x + 2)
y = -4x -8 - 4
y = -4x - 12
64/1×5/8=320/8. 320÷8=40. There is 40 gallons of gas in the truck
Answer
222
Step-by-step explanation:
I hope this is correct but what you do is first divide this shape into three parts. A small rectangle, a bigger one, and then the triangle. With the triangle on the left, you can see that the width is 5 and the length is 9. You multiply those to get 45. With the rectangle in the middle, you can see that the width is 6. So for the length, you take the 8 and add it to the 9 to get 17. So you do 17 x 6 to get 102. And for the triangle, you see that the length is 15. For the width, it would be 5 because the triangle takes one extra cubit off of the rectangle. Finally, you add 45, 102, and 75 to get 222. Hope this helps.