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IRISSAK [1]
3 years ago
15

My brother is 5 years older than me. My sister is 3 years younger than me.

Mathematics
2 answers:
Ad libitum [116K]3 years ago
7 0

Answer:

A) You would be 5

B) She would be 21

C) (Im guessing n in 9?)  She would be 6 then

D) (idk what k is)

E)7 Years apart

Hope this helps


scoundrel [369]3 years ago
5 0

Step-by-step explanation:

Say you are X years old, your brother is Y years old, are your sister is Z years old.

Your brother is 5 years older than you can be shown as the equation:

Y = X + 5

or

X = Y - 5

Your sister is 3 years younger than you can be shown as:

Z = X - 3

or

X = Z + 3

(a) When your brother was 10, X = 10 - 5, so you were 5.

(b) When your brother is 29, X = 29 - 5, so you were 24. When you were 24, Z = 24 - 3, your sister was 21.

(c) When you were n, you can just use the equation above, but switch the variables: Z = N - 3.

(d) When your brother was K: X = K - 5

(e) Y = X + 5 and X = Z + 3

Y = (Z + 3) + 5

Y = Z + 8

So your brother is 8 years older than your sister.

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Answer:

1) 125 meters

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Step-by-step explanation:

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Since this is a quadratic, the highest height the rocket goes will be the vertex of our quadratic. Remember that the vertex of a quadratic in standard form is:

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So, let's identify our coefficients. The standard quadratic form is:

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Therefore, in this case, our a is -5, b is 40, and c is 45.

So, let's find the x-coordinate of our vertex. Substitute 40 for b and -5 for a. This yields:

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Therefore, the highest the rocket goes up is 125 meters.

Part 2)

To find out for how much time the rocket is in the air, we can think about after how many seconds after launch will the rocket land.

If the rocket lands, the height h will be 0. So, we can set our expression equal to 0 and solve for t:

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We can factor:

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Zero Product Property:

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Solve for t:

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In this case, since t is our time in seconds, -1 seconds does not make sense. So, we can remove -1 from our solution set.

Therefore, 9 seconds after launch, the rocket will touch the ground.

Therefore, the rocket was in the air for 9 seconds.

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