When comparing decimals, start in the tenths place. The decimal with the biggest value there is greater. If they are the same, move to the hundredths place and compare these values. If the values are still the same keep moving to the right until you find one that is greater or until you find that they are equal.
X = 42 - 19, so A - x = 23
Answer:
The ball reaches a height of 29.25 ft after 1.125 seconds
Step-by-step explanation:
The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(36)/2(-16)
-36/-32
1.125 seconds
Now to find the height, we input that value in for t
h = -16t^2 + 36t + 9
h = -16(1.125)^2 + 26(1.125) + 9
29.25 feet
Look at the picture.
Therefore we have the equation:
10y - 29 = 7y + 19 <em>add 29 to both sides</em>
10y = 7y + 48 <em>subtract 7y from both sides</em>
3y = 48 <em>divide both sides by 3</em>
y = 16
3x + 7 = 5x - 21 <em>subtract 7 from both sides</em>
3x = 5x = -28 <em>subtract 5x from both sides</em>
-2x = -28 <em>divide both sides by (-2)</em>
x = 14