Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r = 
= 
= 
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D
Answer:
change of y/ change of x
Step-by-step explanation:
Answer:
<B = 108 degrees
Step-by-step explanation:
<A = <B <u><em> (Alternate Angles are congruent)</em></u>
So,
6x+18 = x+93
=> 6x-x = 93-18
=> 5x = 75
<em>Dividing both sides by 5</em>
=> x = 15
Now,
<B = x+93
=> <B = 15+93
=> <B = 108 degrees
Answer: $51
60 * .15 = 9
60 - 9 = $51
Answer: See each part below.
Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.
Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.
Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x
20 = x
The domain will go up to 20 hours.
