vertex will be (0,0)
the stand form will be x/10=Y^2
the directrix is x=10
focus is (x+p,y) (1/40,0)
w=1/10
Answer:
<em>4 seconds, 256 ft</em>
Step-by-step explanation:
First, we'll go through what needs to be done. Then we'll do it.
When h is 0, the fireworks is at a height of 0, or ground level. That happens before it is launched, at time 0 and when it falls back to the ground after going up and down. We let h = 0, and solve for t. We get t = 0, and another value for t which is when it hits the ground on the way down. The midpoint between the two times of height zero is the time at which maximum height is reached. Then we input the maximum height time into the equation and find h, the maximum height.
Now we'll solve it. First, we set the height equation equal to zero and solve for t.
-16t^2 + 128t = 0
-16t(t - 8) = 0
t = 0 or t - 8 = 0
t = 0 or t = 8
The height is zero at t = 0 seconds and at t = 8 seconds.
Maximum height is reached at the midpoint of the two times above.
(0 + 8)/2 = 8/2 = 4.
The firework explodes at 4 seconds.
Now we find the height at 4 seconds which is the maximum height.
h = -16t^2 + 128t
h = -16(4^2) + 128(4)
h = -256 + 512
h = 256
The firework explodes at a height of 256 ft.
<span>-4x + y = -25 y = 4x - 25
-6x - 6y = 0 </span>
-6x - 6(4x - 25) = 0
-6x - 24x + 150 = 0
-30x + 150 = 0
-30x = -150
x = 5
y = 4(5) - 25
y = 20 - 25
y = -5
(5, -5)
Answer:
See below
Step-by-step explanation:
<u>Recursive Formula for Arithmetic Sequences</u>
- <u />
- represents the nth term
- represents the preceding term
- represents the common difference
<u>Explicit Formula for Arithmetic Sequences</u>
- <u />
- represents the nth term
- represents the 1st term
- represents the common difference
<u>Ernest's Schedule Recursive Formula</u>
We can see that the common difference is because for each week, Ernest swims 0.25 more kilometers than the preceding one. Therefore, the recursive formula for Ernest is
<u>Ernest's Schedule Explicit Formula</u>
Given our common difference from earlier and the fact that is our first term, the explicit formula for Ernest is
<u />
<u>Denise's Schedule Recursive Formula</u>
We can see that the common difference is because for each week, Denise swims 0.5 more kilometers than the preceding one. Therefore, the recursive formula for Denise is
<u>Denise's Schedule Explicit Formula</u>
Given our common difference from earlier and the fact that is our first term, the explicit formula for Denise is
The simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35
<h3>How to simplify the expression?</h3>
The expression is given as:
(-11/2x+30)-2(-11/4x-5/2)
Expand the bracket
-11/2x + 30 + 11/2x + 5
Collect the like terms
11/2x -11/2x + 30 + 5
Evaluate the like terms
35
Hence, the simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35
Read more about expressions at:
brainly.com/question/723406
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