Answer:
(5)2
Step-by-step explanation:
As we know that the equation of circle with center at (h,k) ad radius r is given as-
(x−h)
2
+(y−k)
2
=r
2
Given that the centre of circle is (1,4) and radius is 5.
Therefore the equation of circle is-
(x−1)
2
+(y−4)
2
=(5)
2
Step-by-step explanation:
Using Pythagoras theorem
x=✓(35²-21²)=✓784=28 units
ANSWER
B.
![112\pi \: {units}^{3}](https://tex.z-dn.net/?f=112%5Cpi%20%5C%3A%20%20%7Bunits%7D%5E%7B3%7D%20)
EXPLANATION
The volume of a cone is calculated using the formula:
![Volume = \frac{1}{3} \pi {r}^{2}h](https://tex.z-dn.net/?f=Volume%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B2%7Dh)
where r=4 units is the base radius of the cone.
and h=21 units is the vertical height of the cone.
We plug in the values to get;
![Volume = \frac{1}{3} \times \pi \times {4}^{2} \times 21](https://tex.z-dn.net/?f=Volume%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%20%5Cpi%20%5Ctimes%20%20%7B4%7D%5E%7B2%7D%20%5Ctimes%2021)
![Volume = 112\pi \: {units}^{3}](https://tex.z-dn.net/?f=Volume%20%3D%20%20112%5Cpi%20%5C%3A%20%20%7Bunits%7D%5E%7B3%7D%20)
The Law of Conservation states that energy can neither be created or destroyed. So I believe the answer should be A, since the Light energy is being converted and not destroyed and then made again
hope this helps
Answer:
a) She did mistake in Step 2
b) when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)
Step-by-step explanation:
We need to find problem in Ms J solution.
Ms J solution:
![Step \ 1: 4x^2 + 20x - 3xy - 15y\\Step \ 2: 4x(x + 5) - 3y(x - 5)\\Step \ 3: (x+5)(4x - 3y)](https://tex.z-dn.net/?f=Step%20%5C%201%3A%204x%5E2%20%2B%2020x%20-%203xy%20-%2015y%5C%5CStep%20%5C%202%3A%204x%28x%20%2B%205%29%20-%203y%28x%20-%205%29%5C%5CStep%20%5C%203%3A%20%28x%2B5%29%284x%20-%203y%29)
She did mistake in Step 2 when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)
Correcting the mistake:
![Step \ 1: 4x^2 + 20x - 3xy - 15y\\Step \ 2: 4x(x + 5)\mathbf{- 3y(x +5)}\\Step \ 3: (x+5)(4x - 3y)](https://tex.z-dn.net/?f=Step%20%5C%201%3A%204x%5E2%20%2B%2020x%20-%203xy%20-%2015y%5C%5CStep%20%5C%202%3A%204x%28x%20%2B%205%29%5Cmathbf%7B-%203y%28x%20%2B5%29%7D%5C%5CStep%20%5C%203%3A%20%28x%2B5%29%284x%20-%203y%29)