Two circles<span> of </span>radius<span> 4 are </span>tangent<span> to the </span>graph<span> of y^</span>2<span> = </span>4x<span> at the </span>point<span> (</span>1<span>, </span>2<span>). ... I know how to </span>find<span> the </span>tangent<span> line from a circle and a given </span>point<span>, but ... </span>2a2=42. a2=8. a=±2√2. Then1−xc=±2√2<span> and </span>2−yc=±2√2. ... 4 from (1,2<span>), so you could </span>find these<span> centers, and from there the</span>equations<span> of the circle
</span>
Answer:
25x^2 -1
Step-by-step explanation:
If you multiply parentheses:
(5x*5x) + (5x*-1) + (1*5x) + (1*-1)
25x^2 - 5x + 5x -1
25x^2 -1
A simpler way is to memorize this formula
(Square1 - square2)= (sqrt of square1- sqrt of square2)*(sqrt of square1 + sqrt of sqaure2)
3 feet because you multiply 0.2 and 15
Answer:
![x = 1.25](https://tex.z-dn.net/?f=x%20%3D%201.25)
![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
Step-by-step explanation:
Given
![4x - 5y = 5](https://tex.z-dn.net/?f=4x%20-%205y%20%3D%205)
![0.08x + 0.10y = 0.10](https://tex.z-dn.net/?f=0.08x%20%2B%200.10y%20%3D%200.10)
Required
Determine the solution
Make x the subject of formula in: ![4x - 5y = 5](https://tex.z-dn.net/?f=4x%20-%205y%20%3D%205)
![4x = 5 + 5y](https://tex.z-dn.net/?f=4x%20%20%3D%205%20%2B%205y)
Divide both sides by 4
![\frac{4x}{4} = \frac{5 + 5y}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7D%7B4%7D%20%20%3D%20%5Cfrac%7B5%20%2B%205y%7D%7B4%7D)
![x = \frac{5 + 5y}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%2B%205y%7D%7B4%7D)
Substitute
in ![0.08x + 0.10y = 0.10](https://tex.z-dn.net/?f=0.08x%20%2B%200.10y%20%3D%200.10)
![0.08(\frac{5 + 5y}{4}) + 0.10y = 0.10](https://tex.z-dn.net/?f=0.08%28%5Cfrac%7B5%20%2B%205y%7D%7B4%7D%29%20%2B%200.10y%20%3D%200.10)
Solve the fraction
![0.02(5 + 5y) + 0.10y = 0.10](https://tex.z-dn.net/?f=0.02%285%20%2B%205y%29%20%2B%200.10y%20%3D%200.10)
Open the bracket
![0.1 + 0.1y + 0.10y = 0.10](https://tex.z-dn.net/?f=0.1%20%2B%200.1y%20%2B%200.10y%20%3D%200.10)
![0.1 + 0.2y = 0.10](https://tex.z-dn.net/?f=0.1%20%2B%200.2y%20%3D%200.10)
Subtract 0.1 from both sides
![0.1-0.1 + 0.2y = 0.10 - 0.1](https://tex.z-dn.net/?f=0.1-0.1%20%2B%200.2y%20%3D%200.10%20-%200.1)
![0.2y = 0](https://tex.z-dn.net/?f=0.2y%20%3D%200)
Divide both sides by 0.2
![y =0](https://tex.z-dn.net/?f=y%20%3D0)
Substitute 0 for y in ![x = \frac{5 + 5y}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%2B%205y%7D%7B4%7D)
![x = \frac{5 + 5*0}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%2B%205%2A0%7D%7B4%7D)
![x = \frac{5 + 0}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%2B%200%7D%7B4%7D)
![x = \frac{5 }{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%7D%7B4%7D)
![x = 1.25](https://tex.z-dn.net/?f=x%20%3D%201.25)
5 cm tall and still with a radius of 6 cm... do they want volume?