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3 years ago

Solve: 16 + x = 12 then you can get the brainiest.

Mathematics

1 answer:

alexgriva [62]3 years ago

4 0

The answer would be -4 because when you add a positive and a negative it’s like subtracting.

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Find the equation of the parabola with focus (2, 3) and directrix y = -1.<br> es

Elan Coil [88]

Answer:

Below in bold.

Step-by-step explanation:

Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of this point from the directrix. So:

√(( x - 2)^2 + (y - 3)^2) = y - (-1)

Squaring both sides:

(x - 2)^2 + (y - 3)^2 = (y + 1)^2

x^2 - 4x + 4 + y^2 - 6y + 9 = y^2 + 2y + 1

x^2 - 4x + 4 + 9 - 1 = 2y + 6y

8y = x^2 - 4x + 12

y = 1/8(x^2 - 4x + 12)

or we can write it as

y = 1/8x^2 - 1/2 x + 3/2.

4 0

3 years ago

Read 2 more answers

H(n)=−10+12nh, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 12, n

NARA [144]

Answer:

Step-by-step explanation:

3 0

3 years ago

3 1/2x +4 1/3=7 2/9 does anyone know how to do this?????

saw5 [17]

I hope this helps you

5 0

4 years ago

Let f(x)=3x+4 and g(x)= 5-x. Find (g o f)(6)

Bond [772]

1. Substitute the function f(x) into x in g(x)

2. Simply your results in 1. now you have (g o f)(x)

3. Now substitute 6 into your results in 2 to get (g o f)(6)

5 0

3 years ago

Sammy has x flavors of candies with which to make goody bags for Frank's birthday party. Sammy tosses out y flavors, because he

harkovskaia [24]

Answer:

$^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}$

Step-by-step explanation:

Total flavors Sammy initially had = x

Number of flavors Sammy throw away = y

After throwing away y flavors, the number of flavors Sammy will be left with = x - y

He needs to make 10-flavor bags from these (x - y) flavors. In order words he needs to chose 10 flavors for each bag from(x - y) flavors. The order of selection is not important here, so this is a problem of combinations. Also since we have to make selections or small groups, this also indicates that we have to use combinations.

So we need to make combinations of 10 flavors from a total of (x - y) flavors. This can be represented as $^{(x-y)}C_{10}$

The formula for combinations is:

$^{n}C_{r}=\frac{n!}{r!(n-r)!}$

Using the values in this formula, we get:

$^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}$

7 0

3 years ago