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sammy [17]
3 years ago
7

There is an arcade in the amusement park.  A computer game there uses functions to simulate the paths of an archer’s arrows. The

x-axis represents the level ground on which the archer stands, and the coordinate pair (2,5) represents the top of a castle wall over which he is trying to fire an arrow.
In response to user input, the first arrow followed a path defined by the function f(x)=6-x^2, failing to clear the castle wall.




The next arrow must be launched with the same force and trajectory, so the user must reposition the archer in order for his next arrow to have any chance of clearing the wall.

a. How much closer to the wall must the archer stand in order for the arrow to clear the wall by the greatest possible distance?

b. What function must the user enter in order to accomplish this?

c. If the user can only enter functions of the form f(x+k), what are all the values of k that would result in the arrow clearing the castle wall?

Mathematics
1 answer:
lora16 [44]3 years ago
7 0
C.if the user can only enter functions of the form f(x+k), what are all the values of k that would result in the arrow clearing the castle wall
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So V= pi * (radius)^2 * height =720* pi

we know circumference = 2 * pi * r

if we look at first equation. We can edit it like
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now we can say it kind of looks like circumference equation but missing 2 so we multiply both sides by 2
2 * pi * r * r * h = 2 * 720 * pi

We can take out the 2 * pi * r and put in circumference (C)

c * r * h = 1440 * pi

We we know h is 20 so

c * r * 20 = 1440 * pi
c * r = 72 * pi

we have to solve for r first so break circumference back up

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plug into circum equation
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So
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6 * 5 * 15 =V

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4 0
3 years ago
A card is drawn from a​ well-shuffled deck of 52 cards. Find the probability that the card is a red card or a 6?
zimovet [89]

Answer:

50% chance of it being red; a 13% chance of it being 6.

Step-by-step explanation:

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13% because only 4 cards a 6 so 52÷4=13

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2 years ago
Y = 2x – 15<br> y = 5x<br> Can anyone tell me the steps how to solve this and the answer
Brilliant_brown [7]
Use substitution
Plug in 5x for y
5x = 2x - 15
Subtract 2x
3x = -15
Divide by 3
x = -5, y = -25
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I need help with this I will I’ve you Brainiest if right
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Answer:

The answer is J: 1/2

Step-by-step explanation:

The answer would be 1/2, or 50% because there are 4 tiles and 2 tiles are vowels. Hamda would have at least a 50% chance of picking it.

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What are all of the answers?
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