Find the Number in Each Case

1 answer:

6 0

It seems like you have the answer already. but heres how its calculated.
$\frac{100}{15} = \frac{?}{3}$
so the missing number is 20 **cross multiply 100 and 3 to get 300 then divide 15 into 300 to get 20**

$\frac{160}{100} = \frac{80}{?}$
so the missing number is 50
**cross multiply 100 and 80 to get 8000 then divide 160<span> into 8000 to get 50**</span>

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What is the inverse of the function f(x) = 2x – 10

BartSMP [9]

Answer:

y = 1/2x +5

Step-by-step explanation:

change f(x) to y

y = 2x - 10

then switch x and y

x = 2y - 10

then solve for y

add 10 to both sides and divide both sides by 2

6 0

2 years ago

Read 2 more answers

The directrix of a parabola is x = 4. Its focus is (2,6) .

Sati [7]

Answer:

Step-by-step explanation:

If you plot the directrix and the focus, you can see that the focus is to the left of the directrix. Since a parabola ALWAYS wraps itself around the focus, our parabola opens sideways, to the left to be specific. The formula for the parabola that opens to the left is

$-(y-k)^2=4p(x-h)$

We will solve this for x at the end. The negative is out front because it opens to the left. If it opened to the right, it would be positive.

The vertex of a parabola is exactly halfway between the focus and the directrix, so our vertex coordinates h and k are (3, 6). P is defined as the distance between the vertex and the directrix, or the vertex and the focus. Since the vertex is directly between both the directrix and the focus, each distance is the same. P = 1. Filling in what we have now:

$-(y-6)^2=4(1)(x-3)$ which simplifies to