<span>1. You have 3 chances in 12 of picking a pencil ===> 3/12 = 1/4
2 You have 5 chances in 8 of picking a colored pencil ===> 5/8
3. The probability of doing both is the product of the two ===> 1/4 * 5/8 = 5/32 </span>
Answer:
Step-by-step explanation:
The distributive property says that the answer of multiplying two numbers is the same as multiplying the first number by the sum or subtraction of two numbers that result in the second number.
What we have to do is to simpligy the ecuation, this mean, making it shorter.
First we take out the common term of the ecuation: 
.
By distributive property 
then 
.
All you've got to do is some simple algebra! When you solve for a variable, you are trying to get it alone on one side of the equation. So, we want something that looks like y = ...
First, add 21x to both sides of the equation. This will cancel out the -21x on the left side.
-21x + 3y = 6
-21x + 3y + 21x = 6 + 21x
3y = 21x + 6
Now, to get y alone, divide both sides of the equation by 3. This will cancel out the coefficient of 3 on the left side.
3y = 21x + 6
(3y)/3 = (21x + 6)/3
y = 7x + 2
There's the answer. Hope that helps! :)
Given:
JK is tangent to a circle with center H
To find:
The length of HK.
Solution:
The image is attached below.
JK = 8 mi, HJ = 15 mi
JK is tangent to a circle.
The tangent is always perpendicular to the radius.
Therefore, m∠J = 90°
Using Pythagoras theorem:
HK² = JK² + HJ²
HK² = 8² + 15²
HK² = 64 + 225
HK² = 289
HK² = 17²
Taking square root on both sides.
HK = 17
The length of HK is 17 mi.
The answer is "A'B'C'D' is obtained by rotating ABCD counterclockwise 90degrees about the origin and then reflecting it over the x-axis"
I got the answer by trying out each option, since none of the first three gave me result expected, I knew it was the fourth one.
