Answer:
<h2>x = 17</h2>
Step-by-step explanation:
3(x - 7) = 30 is our equation, since we take 7 away from the number and then multiply the result by 3.
3x - 21 = 30
Add 21
3x = 51
Divide by 3
x = 17
To check.
3(17 - 7(
3(10)
30 = 30 Correct
The ball describes a parabola, as you can see in the attached picture. So, the point where the ball strike the ground is the point where the parabola meets the x axis. In fact, the x-axis is the set of points where y=0, which means that the ball has height 0 or -again- it hits the ground.
So, we have to set y=0 in our equation and look for the positive solution. We have
And the positive solution is
So that's the distance from the child where the ball strikes the ground.
9514 1404 393
Answer:
y = 5x² -30x +39
Step-by-step explanation:
Multiply it out and collect terms.
y = 5(x -3)² -6
y = 5(x² -6x +9) -6 . . . . . expand the square
y = 5x² -30x +45 -6 . . . . use the distributive property
y = 5x² -30x +39 . . . . . . collect terms
_____
The expansion of a binomial square is ...
(a +b)² = a² + 2ab + b²
In this problem, we have a=x, b=-3.
I do think it is no solution but it might just be infinite solutions. becuase this means 3y=0