Answer:
Use the Pythagorean theorem
Step-by-step explanation:
The pythagorean theorem is
where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:

Simplify the equation to get:

Add 16 and 9 to get 25 and take the square root of both sides:

The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.
Answer:
Part A - the independant variable is the monthly allowance, and the dependent amount is the one that he has to get As for in order to receive it.
Part B - y = 30x + 20
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
Answer:
b. circle; 
Step-by-step explanation:
The given conic has equation;

We complete the square to obtain;

This is a circle with center;

This implies that;

When the circle is rotated through an angle of
,
The new center is obtained using;
and 
We plug in the given angle with x and y values to get;
and 
This gives us;

The equation of the rotated circle is;

Expand;

Multiply through by 4; to get

Write in general form;

Divide through by 2.
