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torisob [31]
3 years ago
13

The ratio of Kaylins money to nathanmoney is 4:9. if nathan has 45$, how much do they have all together ?

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0
61$ is the answer hope it helps!
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Can someone please help me find the rate of change in this function?
eimsori [14]

Answer:

If the answer isn't 0 or .0 I'm going to need some answer choices.

Step-by-step explanation:

4 0
3 years ago
A dartboard consists of two concentric circles. The probability of hitting the inner circle is
stepan [7]
Given:
Diameter of outer circle = 20 inches.

We need to find the Area of the outer circle to get the radius of the inner circle.

Area = πr²

Outer circle Area = 3.14 * (10in)² = 314 in²

314 in² * 64% probability = 200.96 in² Area of the inner circle.

200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r

radius of inner circle is 8 inches.
3 0
3 years ago
Derive the equation of the parabola with the focus <br> is (-7,5) and the directrix of y=-11
Volgvan
So, notice, the focus point is at -7, 5, and the directrix is at y = -11.

keep in mind that the vertex is half-way between those two fellows, and the distance from the vertex to either one of them is "p" units, check the picture below.

with that focus point and that directrix, the half-way over the axis of symmetry will be -7, -3, that's where the vertex is at, and notice the distance "p", is 8 units.

since the parabola is opening upwards, "p" is positive 8.

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;4p(x- h)=(y- k)^2&#10;\\\\&#10;\boxed{4p(y- k)=(x- h)^2}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ( h, k)\\\\&#10; p=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=-7\\&#10;k=-3\\&#10;p=8&#10;\end{cases}\implies 4(8)[y-(-3)]=[x-(-7)]^2&#10;\\\\\\&#10;32(y+3)=(x+7)^2\implies y+3=\cfrac{1}{32}(x+7)^2&#10;\\\\\\&#10;y=\cfrac{1}{32}(x+7)^2-3

8 0
3 years ago
Factor completely 2x2 + 28x + 96.
Evgesh-ka [11]

Hi Kiara


2x²+28x+96

First thing you need to find the common factor

So the common factor is 2

2(x+6)(x+8)

I hope that's help:0


Why 2 is the common factor ?

Because we were looking for a number that can divide all of them at the same time without decimal, so that's why :)



4 0
4 years ago
Read 2 more answers
Subtract.
Goryan [66]

Answer: the answer your looking for is

-5 7/10

Step-by-step explanation:

3 0
3 years ago
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