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IRISSAK [1]
3 years ago
12

Please please please help!! ASAP

Mathematics
1 answer:
crimeas [40]3 years ago
5 0

I prefer to use a midpoint formula that deals with both coordinates at once. For points A and B, their midpoint (M) is

... M = (A + B)/2

We can solve this for B by multiplying by 2 and subtracing A.

... 2M = A + B

... 2M - A = B

For your midpoint M(0, -10) and your endpoint A(-4, -5), the other endpoint will be

... B = 2(0, -10) - (-4, -5) = (2·0 -(-4), 2·(-10) -(-5))

... = (4, -15)

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Given a≠±b and a^2−b^2/a+b =12, find a−b.
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\dfrac{a^2 - b^2}{a+b}  =  12

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Factorise a² - b² :
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\dfrac{(a+b)(a-b)}{a+b}  =  12

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 Crossed out common factors, (x + a) :
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a- b =  12
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3 years ago
DJ Giovanni is making a playlist for a friend; he is trying to decide what 12 songs to play and in what order they should be pla
Elena L [17]

Answer:

5.78×10¹⁵

Step-by-step explanation:

The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.

The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.

The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.

The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.

The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.

Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.

So the total number of possible playlists is:

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4 years ago
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Answer:

\implies V=\pi r^2(h-4 r)

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Volume of the canister LESS the volume of 3 tennis balls:

V=\pi r^2h-3\left(\dfrac43\pi r^3\right)

Expand brackets:

\implies V=\pi r^2h-4\pi r^3

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\implies V=\pi r^2(h-4 r)

3 0
2 years ago
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