Answer:

Step-by-step explanation:
The Pythagorean theorem is a theorem that can be applied to the sides of a right triangle. Please note that a right angle refers to an angle with a measure of (90) degrees. A box around an angle shows that the angle is a right angle, or has a measure of (90) degrees. The Pythagorean theorem states the following,

Where (a) and (b) are the legs of the triangle, or the side adjacent to the right angle in the right triangle. (c) is the side opposite the right angle, or the hypotenuse of the triangle. One can apply this theorem to the smallest triangle in the diagram to find (y),

Substitute,

Simplify,


Inverse operations,



Take a factor from out of the square root. Remember that a number times itself under the radical is equal to the number. This can be simply stated as the following: (
),





Answer:

Step-by-step explanation:
So you have the equation:
. As you may know, you cannot divide by 0, so y has to be restricted in a way that the denominator is never equal to 0. So to find when y makes the denominator 0, simply set the denominator equal to 0, and solve for y. This gives you the equation: 5+y = 0, y=-5. So the y value CANNOT be equal to -5. Because it makes the denominator 0. so
would be the restriction.
Answer:
2/7
Step-by-step explanation:
The quotient is ...

A common factor of -8 can be cancelled from numerator and denominator.
Answer:
The last one (4 sqare root 3)
Step-by-step explanation:
The square root of 16 is 4 so then it would be 4 sqroot 3
Answer:
a
Step-by-step explanation:
the equation for a circle centered at orgin is x^2+y^2=r where r is the radius. multiplying, adding, or subtracting any numbers to the x and y components such as the other choices here causes the circle to be translated about the graph.