Answer:
(3, -4) and r = 3
Step-by-step explanation:
The center of a circle can be found using the equation
and is (h,k) from it. Notice h and k are the opposite value as in the equation.
First write the equation in this form.
Complete the square with each variable to find what numbers should go in place of the question marks.
Since 16 has already been added to the equation, just add 9 to both sides of the equation.
So the center is (3,-4) and the radius is 3.
Answer: 131.1287 square mm (approx)
Step-by-step explanation:
The area of a triangle,

Where
and
are adjacent sides and
is the include angle of these sides,
Here PR and QR are adjacent sides and ∠R is the included angle of these sides,
Thus, we can write,
,
and
,
Thus, the area of the triangle PQR,


200 sections will cost $7439.
We first see if the rate of change, the slope, is the same between data points. If it is, the function will be linear. We use the formula
m = (y₂ - y₁)/(x₂ - x₁)
For the first two data points, we have
m = (1889-409)/(50-10) = 1480/40 = 37
For the second two data points, we have
m = (4664-1889)/(125-50) = 2775/75 = 37
Now that we know the slope is the same, we can write the equation:
y - y₁ = m(x - x₁)
y - 409 = 37(x - 10)
y - 409 = 37x - 370
Add 409 to both sides:
y = 37x + 39
Using 200 as x,
y = 37(200) + 39 = 7439
1. Shifts up 9
2. Shifts down 2
3. Reflect over x-axis and shifts left 5
4. Shifts right 4 and down 1
5. Vertical compression of 1/3 and shifts up 2
6. Reflect over x-axis, vertical stretch of 2, and shifts left 4
7. f(x)=-(x-3)^2+7