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Phoenix [80]
2 years ago
11

The height of water shooting from a fountain is modeled by the function f(x) = -4x2 + 24x - 29 where x is the distance from the

spout in feet. Complete the square to determine the maximum height of the path of the water.
Mathematics
1 answer:
Softa [21]2 years ago
8 0

Step-by-step explanation:

f(x) = -4x^2+24x-29

= -4(x^2-6x)-29

= -4(x-3)^2 -4(-9) -29

= -4(x-3)^2 +36-29

= -4(x-3)^2 +7

maximum height = 7m

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Geometric sequences HELP ASAP!
Pani-rosa [81]

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{560}{1120}

r=0.5

The nth term of a geometric sequence is:

a_n=ar^{n-1}

Where a is the first term and r is the common ratio.

Putting a=1120, r=0.5, we get

a_n=1120(0.5)^{n-1}

Therefore, the required formula for the given sequence is a_n=1120(0.5)^{n-1}.

We need to find the 10th term of the given sequence. So, substituting n=10 in the above formula.

a_{10}=1120(0.5)^{10-1}

a_{10}=1120(0.5)^{9}

a_{10}=1120(0.001953125)

a_{10}=2.1875

Therefore, the 10th term of the given sequence is 2.1875.

6 0
3 years ago
A ladder is leaning on a fence and it reaches up a wall 20 feet high. The fence is 10 feet from the wall and the base of the lad
ElenaW [278]
Easy just subtract 20 and 12 and its 8 the reason how i got that is because the ladder is 20 feet high and it now stands 12 feet on the fence so the fence is only 8 feet PLZ MARK ME BRAINIEST MY ANSWER IS RIGHT i have done the test ur welcome.
5 0
3 years ago
How do you simplify i256? what is i256 simplified?
Tom [10]
If you simplify 256 you get 16 you have to square root it 
3 0
3 years ago
Is ab perpendicular to cd ? Explain.
Afina-wow [57]
We know that
if two lines are perpendicular
then
the slopes 
m1*m2=-1

step 1
find the slope AB
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B (-3,-3)
m=(y2-y1)/(x2-x1)-----> m=(-3-2)/(-3-0)-----> m=-5/-3----> m1=5/3

step 2
find the slope CD
C (-4,1)
D (0,-2)
m=(y2-y1)/(x2-x1)-----> m=(-2-1)/(0+4)-----> m=--3/4----> m2=-3/4

step 3
multiply mi*m2
(5/3)*(-3/4)-----> -15/12
so
15/12 is not -1
therefore
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4 0
3 years ago
PLEASE HELP!! I will mark brainliest
Arisa [49]

Answer:

the top one and bottom one

Step-by-step explanation:

4 0
3 years ago
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