Answer:
Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:
Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:
Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:
Solve for <em>r: </em>
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Simplify. Thus:
Finally, add:
We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:
Answer:
f(d)=400(0.794)^d
Step-by-step explanation:
Answer: 27 dogs were seen at the clinic on monday.
27/45 = 0.6
0.6 = 60%
Answer:
D. Negative.
Step-by-step explanation:
In truth, when given the graph you don't really need to use the points, but if needed it you would use the formula:
y-y₁=m(x-x₁)
Plug in your information and solve.
-1 - 5 = m (2 - (-1))
-6 = m (3)
-6 = 3m
m = -6 / 3
m = -2
(m = slope)
Also, when shown on the graph =
If the slope is going:
up from left to right: it's positive
down from left to right: it's negative
straight up and down (vertical): it's undefined
straight left to right (horizontal): it's zero.
Answer:
24
Step-by-step explanation:
because 120 divided by 5 is 24
