Answer:
11y + 1z
Step-by-step explanation:
Like terms are ones that have the same variable (or set of variables).
8y - 4z + 3y + 5z
= (8 +3)y +(-4 +5)z
= 11y +1z
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Usually written as 11y+z.
Answer:
see explanation
Step-by-step explanation:
Using the identity
tan x = 
Consider the left side

=
( multiply numerator and denominator by cos²x to clear fractions
=
← ( cos²x + sin²x = 1 ]
= cos²x - sin²x
= right side , thus proven
3 x 3 - ( (-1)^2 - 2)^2
Start evaluating the one in the most inner bracket:
3 x 3 - ( (-1)^2 - 2)^2
= 3 x 3 - (1 - 2)^2
There is one more bracket, so we do what is in the bracket:
3 x 3 - ( (-1)^2 - 2)^2
= 3 x 3 - (1- 2)^2
= 3 x 3 - (-1)^2
= 3 x 3 - 1
Between x and -, we do the x first:
3 x 3 - ( (-1)^2 - 2)^2
= 3 x 3 - (1- 2)^2
= 3 x 3 - (-1)^2
= 3 x 3 - 1
= 9 - 1
Then we do the -:
3 x 3 - ( (-1)^2 - 2)^2
= 3 x 3 - (1- 2)^2
= 3 x 3 - (-1)^2
= 3 x 3 - 1
= 9 - 1
= 8
First off, we change the mixed fraction to "improper" and then we make it a decimal.

an integer is a "whole" number, with no decimals.