The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.
<h3>What is an equation of a circle?</h3>
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
Write an equation for a circle with a center (-2, 8) and a radius of 9.
Then the equation will be
(x + 2)² + (y − 8)² = 9²
(x + 2)² + (y − 8)² = 81
Learn more about the equation of a circle here:
brainly.com/question/10165274
#SPJ1
Answer:
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Answer:
45/16
Answer:
2³² -1
Step-by-step explanation:
The sequence has a₁ = 1 and r = 2. Filling in the numbers for n=32, we have ...
S₃₂ = 1·(1 -2³²)/(1 -2)
S₃₂ = 2³² -1
Alan is 14. James is twice as young, meaning two times as young as his brother.
14/2 = 7
So, 7 is two times younger than Alan, who is twice as old as James.
James is 7 years old.
Answer:
See below
Step-by-step explanation:
Part A:
area of parallelogram = base * height
A = 9 ft * 8/9 ft = 8 ft^2
Part B:
Connect point D to point B with a segment. Now you have 2 triangles.
The area of each triangle is base * height/2
area of triangle = bh/2 = (9 ft)(8/9 ft)/2 = 4 ft^2
