Answer: 
Required theorem:
Pythagorean theorem = 
In other words, one side length squared + another side length squared = the middle lined squared.
Step-by-step explanation:

We can only have a positive distance so your final answer is :

Find all solutions for w by breaking the absolute value into the positive and negative components.
w = 7, -1
Hope this helps! :)
Answer:
slope = 2
Step-by-step explanation:
Pick two points to find the slope. (1, 2) and (3, 3)
From the left (1, 2) to (3, 3), it goes up 2 units and to the right 1 unit.
We can plug this into the slope equation which is rise/run
2/1 = 2 = slope
<span>Simplifying
15.36x[-0.45] = 0
Reorder the terms for easier multiplication:
15.36 * -0.45x = 0
Multiply 15.36 * -0.45
-6.912x = 0
Solving
-6.912x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-6.912'.
x = 0
Simplifying
x = 0</span>
The required equation is:

Step-by-step explanation:
Given
Let a be Anne's Age
and
b be Betty's age
Now we will onvert the given word problem in the form of equation step by step
"twice Betty's age." will be represented by 
Then
"3 years younger than twice Betty's age." will be represented as: 
Now
"Betty's sister, Anne, is 3 years younger than twice Betty's age."

Hence,
The required equation is:

Keywords: Word problems, linear equation in two variables
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