The height should be around 9.19 or 9.2 if you round it up.
(if you need an explanation as to why i would be happy to help as well!)
(84x - 69y) - (65x + 34y)
Remove the parenthesis and combine the like terms:
84x - 65x = 19x
-69y - 34y = -103y
Combine for final answer:
19x -103y
The computation shows that the placw on the hill where the cannonball land is 3.75m.
<h3>How to illustrate the information?</h3>
To find where on the hill the cannonball lands
So 0.15x = 2 + 0.12x - 0.002x²
Taking the LHS expression to the right and rearranging we have:
-0.002x² + 0.12x -.0.15x + 2 = 0.
So we have -0.002x²- 0.03x + 2 = 0
I'll multiply through by -1 so we have
0.002x² + 0.03x -2 = 0.
This is a quadratic equation with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25.
The second solution y = 0.15 * 25 = 3.75
Learn more about computations on:
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Complete question:
The flight of a cannonball toward a hill is described by the parabola y = 2 + 0.12x - 0.002x 2 . the hill slopes upward along a path given by y = 0.15x. where on the hill does the cannonball land?
Answer:
18 weeks
Step-by-step explanation:
In this question, we are asked to use an equation to show the number of weeks it took Hugo who received a certain amount in his birthday and continually saved a certain amount before he could gather a certain amount of money.
In this question, we understand that Hugo wants to buy a printer that costs $460. Fortunately, he had his birthday and he received $100 bucks. Now, let’s say the number of weeks he had to save for is w and he saves 20 per week. This means the total amount he hit from his savings would be 20w
Mathematically, we can use the equation below to model this scenario;
100 + 20(w) = 460
20w = 460 - 100
20w = 360
w = 360/20
w = 18 weeks
The measurements are in inches but the answer needs to be in feet, so we'll convert the numbers to feet first.
6"=1/2 ft
2"=1/6 ft
3"=1/4 ft
V=l×w×h
V=1/2*1/6*1/4
V=1/48 cubic ft
