Answer:
A.1/12
Step-by-step explanation:
<em>In oder to find multiple probability you must multiply the probabilty of each pile of cards;</em>
<em>First pile: 1/3 </em>
<em>Second pile: 1/2</em>
<em>Third pile:2/4</em>
<em>1/3 × 1/2 × 2/4 = 2/24 </em>
<em>You then simply to the answer; 1/12</em>
Answer:
The slope is 2/3
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=5-9/(-2)-4
m=-4/-6
m=2/3
The commutative property of addition means the order of the addends doesn't matter; we get the same sum. In symbols
![a+b = b+a](https://tex.z-dn.net/?f=a%2Bb%20%3D%20b%2Ba)
<span>11 + 7 = 7 + 11, choice B, is a good illustration of commutativity.
The next part asks us to use the commutative property. Looking at the choices, we see it's not the commutative property of addition we're to use, it's the commutative property of multiplication. Let's write that generally first:
</span>
![ab = ba](https://tex.z-dn.net/?f=ab%20%3D%20ba)
Applying that, <span>(4 + 7) * 3 = 3*(4+7), again choice B.
</span>
Answer:
<h2>
![a = \frac{8A}{\pi {r}^{2} } + 1 \\](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B8A%7D%7B%5Cpi%20%7Br%7D%5E%7B2%7D%20%7D%20%20%2B%201%20%5C%5C%20)
</h2>
Step-by-step explanation:
![A = \frac{1}{8} \pi {r}^{2} (a - 1) \\](https://tex.z-dn.net/?f=A%20%3D%20%20%5Cfrac%7B1%7D%7B8%7D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20%28a%20-%201%29%20%5C%5C%20)
First of all multiply through by 8 to eliminate the fraction
That's
![8A = 8 \times \frac{1}{8} \pi {r}^{2} (a - 1) \\8 A = \pi {r}^{2} (a - 1)](https://tex.z-dn.net/?f=8A%20%3D%208%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B8%7D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20%28a%20-%201%29%20%5C%5C8%20A%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20%28a%20-%201%29)
<u>Divide both sides by πr²</u>
![\frac{8A}{\pi {r}^{2} } = \frac{\pi {r}^{2}(a - 1) }{\pi {r}^{2} } \\ a - 1 = \frac{8A}{\pi {r}^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B8A%7D%7B%5Cpi%20%7Br%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Cfrac%7B%5Cpi%20%7Br%7D%5E%7B2%7D%28a%20-%201%29%20%7D%7B%5Cpi%20%7Br%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20a%20-%201%20%3D%20%20%5Cfrac%7B8A%7D%7B%5Cpi%20%7Br%7D%5E%7B2%7D%20%7D%20)
Move 1 to the other side of the equation to make a stand alone
We have the final answer as
![a = \frac{8A}{\pi {r}^{2} } + 1 \\](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B8A%7D%7B%5Cpi%20%7Br%7D%5E%7B2%7D%20%7D%20%20%2B%201%20%5C%5C%20)
Hope this helps you