Answer:
Center: (4,8)
Radius: 2.5
Equation:
Step-by-step explanation:
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;
The center is at;
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;
The equation of the circle in standard form is given by;
We substitute the center and the radius into the formula to get;
Answer:
The measure of angle C is
The draw in the attached figure
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
The sine of angle C is equal to divide the opposite side to angle C by the hypotenuse
substitute the values
Answer:
B
Step-by-step explanation:
In order to get the same denominator, we need to multiply the second fraction by (b+2) in the numerator and denominator.
We will end up in something like this :
I just timed the second fraction by b+ 2 and then i added them together.
Therefore, we will get
now factoring the numerator we will end like this
we will then end up with the answer.
Hope this helps.
You are permitted to give up to $13,000 each year to any individual
without acquiring gift tax liability. So, Barry and Mary each can gift $13,000
to anyone of their choosing. For eight recipients (3 children and 5
grandchildren), each can gift $104,000. Consequently, Barry and Mary can offer
$208,000 ($104,000 x 2) to their children and grandchildren in 2013.
Answer:
(1,-2)
(0,-3)
(-3,0)
Step-by-step explanation:
each point on the line -x+y=-3