You would move 4 to the left and 3 up
The answer is 22.6
your answer
<h2>Hey there!</h2>
<h3>Given,</h3>
radius (r) = 15m
height (h) = 7m
<h3>To find: The volume of cylinder </h3>
<h3>We know that,</h3>
<h3>Volume of cylinder:</h3>
![\pi {r}^{2} h](https://tex.z-dn.net/?f=%5Cpi%20%7Br%7D%5E%7B2%7D%20h)
<h3>By the using the formula,we get</h3>
![\frac{22}{7} \times (15) \times (15) \times 7 \\ \\ = 22 \times 225 \\ \\ = 4950](https://tex.z-dn.net/?f=%20%5Cfrac%7B22%7D%7B7%7D%20%20%5Ctimes%20%2815%29%20%5Ctimes%20%2815%29%20%5Ctimes%207%20%5C%5C%20%20%5C%5C%20%20%3D%2022%20%5Ctimes%20225%20%5C%5C%20%20%5C%5C%20%20%3D%204950)
<h3>Therefore, the volume of the cylinder is 4950 m³</h3>
<h2>Hope it helps </h2>
Triangle ABC is a right triangle, meaning we can use the Pythagorean Theorem to find x.
The formula for the Pythagorean Theorem is:
![a = \sqrt{ {b}^{2} + {c}^{2} }](https://tex.z-dn.net/?f=a%20%3D%20%20%5Csqrt%7B%20%7Bb%7D%5E%7B2%7D%20%20%2B%20%20%7Bc%7D%5E%7B2%7D%20%7D%20)
where a is the hypotenuse, and b and c are the legs.
In this problem, we have the vertical leg as 16, the horizontal leg as x, and the hypotenuse as 20. Therefore, we can say that
![a = 20 \\ b = 16 \\ c = x](https://tex.z-dn.net/?f=a%20%3D%2020%20%5C%5C%20b%20%3D%2016%20%5C%5C%20c%20%3D%20x)
Therefore, we can plug into the formula to find x:
![a = \sqrt{ {b}^{2} + {x}^{2} } \\ {a}^{2} = { \sqrt{ {b}^{2} + {x}^{2} } }^{2} \\ {a}^{2} = {b}^{2} + {x}^{2} \\ {a}^{2} - {b}^{2} = {x}^{2}](https://tex.z-dn.net/?f=a%20%3D%20%20%5Csqrt%7B%20%7Bb%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%7Ba%7D%5E%7B2%7D%20%20%3D%20%20%7B%20%5Csqrt%7B%20%7Bb%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%7D%20%7D%5E%7B2%7D%20%20%5C%5C%20%20%7Ba%7D%5E%7B2%7D%20%20%3D%20%20%7Bb%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%20%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D)
We first change the variable c to x and square both sides of the equation. Then we subtract b^2 from both sides.
![{x}^{2} = {a}^{2} - {b}^{2} \\ \sqrt{ {x}^{2} } = \sqrt{ {a}^{2} - {b}^{2} } \\ x = \sqrt{ {a}^{2} - {b}^{2} }](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20%20%5C%5C%20%20%5Csqrt%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Csqrt%7B%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%7B%20%7Ba%7D%5E%7B2%7D%20-%20%20%7Bb%7D%5E%7B2%7D%20%20%7D%20)
We square root each side to find the variable answer for x. Then we plug in the numbers:
![x = \sqrt{ {(20)}^{2} - {(16)}^{2} } \\ x = \sqrt{400 - 256} \\ x = \sqrt{144} \\ x = 12](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%7B%20%7B%2820%29%7D%5E%7B2%7D%20-%20%20%7B%2816%29%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%7B400%20-%20256%7D%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%7B144%7D%20%20%5C%5C%20x%20%3D%2012)
We find that x = 12. The answer is A. 12.
Answer:
They intersect
Step-by-step explanation:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel.
Here we have two functions:
1) y = 4x + 2
2) 8x + 2y = - 3
2y = - 8x - 3
// divide both sides by 2
y = - 4x - 1,5
- 4 ≠ 4 , so these lines aren't parallel, maybe you wrote the assignment incorrect (e. g. if there would be " - " before 8 in the second function, those lines would be parallel), here they intersect.