Answer:
the first one is compensation
the last one is a rectangle
and the second one is partial products
Step-by-step explanation:
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Answer:
4. Vertical angles theorem
6. 3x + 4 =49
Step-by-step explanation:
Answer:
x² + 8
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 2x² + 1 - (x² - 7)
= 2x² + 1 - x² + 7 ← collect like terms
= x² + 8
Answer:

Step-by-step explanation:
For ellipses, the length of the major axis is represents as:
Major axis = 
where
is called the semi-major axis.
In this case since the major axis is equal to 10 units:

solving for the semi-major axis
:

and also the minor axis of an ellipse is represented as:
Minor axis = 
where
is called the semi-minor axis.
Since the minor axis has a length of 8 units:

solving for b:

Now we can use the equation for an ellipse centered at the origin (0,0):

and substituting the values for
and
:

and finall we simplify the expression to get the equation of the ellipse:
