The equation for a circle is
(x-h)² + (y-k)² = r²
h = your given x
y = your given k
Let's plug everything in!
(x - 5) ² + (y - (-1)) ² = 12²
Your final equation is
(x - 5) ² + (y + 1) ² = 144
<em>Hope I helped! Comment or message me if you have any questions :) </em>
Answer:
8
Step-by-step explanation:
We know that in 5 days they have travelled 2045 miles. This means that their per day average for travel is 2045/5=409 miles per day.
Now the distance left is 3272-2045=1227 miles.
And if we divide the average miles with the miles left, it gives us= 1227/409
=3
So, the total time taken for travel will be= 5+3=8 days
I guess this is the way to do it.
Answer: the length of the arc from her dog house to the hydrant is 69 feet
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 24 feet
θ = 165 degrees
Therefore,
Length of the minor arc, DG = 165/360 × 2 × 3.14 × 24
Length of arc = 69 feet rounded up to the nearest feet.
Answer:
y = 4/6x - 4
Step-by-step explanation:
y = mx + b, m = slope and b = y intercept
Rise over run
Rise = +4
Run = +6
This means the slope is 4/6.
The y intercept is at -4.
Now, plug in the numbers for y = mx + b
y = 4/6x - 4