Let's write an equation describing the problem.
Any even whole number may be represented by writing
in which
is any non-negative integer.
It follows that for a even whole number
the next (consecutive) even whole number can be written as
.
We now need to solve the following equation:
If we solve for
we get:
We have to values, as the equation is quadratic. We take the positive one as the correct one. So
, and if we plug in this value to
and
we know that the
asnwer is 16 and 18.
Answer:
Step-by-step explanation:
To solve this problem we first need to find the diameter of the circle. We are told the point 
is the circle, so we can assume it is the center of the circle. To find the diameter we can use the Pythagorean Theorem:
The diameter is 
units, which means the radius is 
. From here we can calculate the area of the circle:
Now we need to subtract the area of the triangle from the area of the circle. Calculate the area of the triangle:
Subtract the triangle area from the circle area to get the area of the shaded area:
Since this is a right triangle, we can you the pythagorean theorem.
a^2 + b^2 = c^2
In this case,
a = 6
b = ?
c = 10
We need to substitute our values into the pythagorean theorem.
(6)^2 + b^2 = (10)^2. Reduce everything to its simplest form.
36 + b^2 = 100. Subtract 36 from both sides.
b^2 = 64. Take the square root of each side.
b = 8.
Answer:
y-2=1/3(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-2)/(3-(-3))
m=2/(3+3)
m=2/6
simplify
m=1/3
y-y1=m(x-x1)
y-2=1/3(x-(-3))
y-2=1/3(x+3)
x = 3/32
Option C is the right answer
