A theorem states that, given a circle with center C and a point P on the circumference, the tangent line through P and the radius CP are perpendicular.
So, the answer is 90 degrees.
Answer:
6
Step-by-step explanation:
The absolute value is always non-negative!
So the absolute value of 57 is 57 itself, as it's non-negative (i.e. it's positive or 0).
Opposite value is the number with a different sign: an opposite value of a positive number is negative, so here it will be -57 .
The correct answer is C.
Answer:
The dimensions of the yard are W=20ft and L=40ft.
Step-by-step explanation:
Let be:
W: width of the yard.
L:length.
Now, we can write the equation of that relates length and width:
(Equation #1)
The area of the yard can be expressed as (using equation #1 into #2):
(Equation #2)
Since the Area of the yard is
, then equation #2 turns into:

Now, we rearrange this equation:

We can divide the equation by 5 :

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since
and
. The equation factorised looks like this:

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

Therefore, the dimensions of the yard are W=20ft and L=40ft.
Answer:
A
Step-by-step explanation:
By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.