The answer is C
(x-h)^2 + (y -k)^2 =r^2
Center (h,k) r = radius
Answer: 10 units
Step-by-step explanation:
Use the distance formula(√(x1-x2)^2+(y2-y1)^2)
Thus, the radius of the circle is 5. Because the diameter is 2r, the diameter = 2(5) = 10
Hope it helps <3
Answer:
3095.6 ft³
Step-by-step explanation:
Volume cone = 1/3(πr²h)
= 1/3(π(13.9)²(15.3))
= 1/3(π(193.21)(15.3))
= 1/3(2956.113π)
= 985.371π ≈ 3095.6 ft³
-Chetan K
In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.
Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...
... 8 - 5 = 3 years old.
_____
<em>Using equations</em>
Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...
... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years
... 5k +25 = k +37 . . . . eliminate parentheses
... 4k = 12 . . . . . . . . . . . add -25-k
... k = 3 . . . . . . . . . . . . . divide by 4
Kate is 3 years old.
Answer:
a) 
, 
, 
b) 
, 
, 
Step-by-step explanation:
We can use the chain rule in the following form: is u=u(x) is a differentiable function depending on x and y=y(u) is a differentiable function depending on u, then 
.
a) 
from the power rule.
.
From the previous parts and the chain rule, 
b) 
from the power and sum rules.
Then, 
