Answer:
In the two different ways we have solved the given equation as
Step-by-step explanation:
Given expression is
To simplify the given expression in two ways:
First way:
Given
Multiplying 3 on both sides
(adding the like terms)
Dividing by 3 on both sides
Therefore the given expression is solved that
Another way:
Given
(adding the like terms)
Therefore the given expression is solved that
In the two different ways we have solved the given equation as
Answer:
i think it will be 14
Step-by-step explanation:
Draw or Cut two similar squares with sides
units long.
Draw or cut four pairs of similar right triangles with side lengths as indicated in the diagram.
Now arrange the similar triangles at the corners of the squares such that the sides
of one similar triangle plus the side
of a second similar triangle coincides with the length of the square.
We do another arrangement of the similar triangles. This time arrange another 4 similar triangles in the opposite corners, such that each pair forms a square.
Now comparing the two different arrangements we got two different areas that are equal.
The area of the uncovered squares in the first arrangement is 
The area of the two uncovered squares in the second arrangement is 
Equating the two areas gives the Pythagoras Theorem

Note that
is the hypotenuse,
and
are two shorter sides of the similar right triangles.
Answer:
1
Step-by-step explanation:
The slope of the line is 1. To find slope use the formula
, this calculates the change in y over the change in x. So plug in the known values
, this equals 3/3 or 1. This means every time y increases by 1, x will also increase by 1.