Title:
<h2>The standard parametric equation for the line is
![\frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20-%202%7D%7B9%7D%20%3D%20%5Cfrac%7By%20%2B%202%7D%7B7%7D%20%3D%20%5Cfrac%7Bz%20-%2010%7D%7B10%7D)
.</h2>
Step-by-step explanation:
The standard parametric equation for a line generally represented as
; where (a, b, c) is the point that the line passes through and (l, m, n) is the direction vector of the line.
It is given that the line passes through the point (2, -2, 10).
Hence, here (a, b, c) ≡ (2, -2, 10).
Similarly, the direction vector of the line is given by (l, m, n) ≡ (9, 7, 10).
Putting all the values in the equation of the line, the equation becomes
.
Answer:
Volume of the cone = ![1492.75\, cm^2\\](https://tex.z-dn.net/?f=1492.75%5C%2C%20cm%5E2%5C%5C)
Step-by-step explanation:
Height of the cone = ![6.6\,cm](https://tex.z-dn.net/?f=6.6%5C%2Ccm)
Radius of the base= ![14.7\,cm](https://tex.z-dn.net/?f=14.7%5C%2Ccm)
Volume of the cone is:
![=\pi \times r^2 \times \dfrac{h}{3}](https://tex.z-dn.net/?f=%3D%5Cpi%20%5Ctimes%20r%5E2%20%5Ctimes%20%5Cdfrac%7Bh%7D%7B3%7D)
As, ![\pi =\dfrac{22}{7}=3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%5Cdfrac%7B22%7D%7B7%7D%3D3.14)
Volume is:
![=3.14\times (14.7\times 14.7)\times \dfrac{6.6}{3 } \\\\=3.14\times 216.09 \times 2.2\\\\=3.14\times 475.40\\\\=1492.75\, cm^2\\](https://tex.z-dn.net/?f=%3D3.14%5Ctimes%20%2814.7%5Ctimes%2014.7%29%5Ctimes%20%5Cdfrac%7B6.6%7D%7B3%20%7D%20%5C%5C%5C%5C%3D3.14%5Ctimes%20216.09%20%5Ctimes%202.2%5C%5C%5C%5C%3D3.14%5Ctimes%20475.40%5C%5C%5C%5C%3D1492.75%5C%2C%20cm%5E2%5C%5C)
Volume of the cone is :
The solution would be like this
for this specific problem:
8479 = P * (1 + 0.09/2)^(2 * 6) <span>
8479 = P * (1 + 0.045)^12
8479 / (1.045)^12 = P
P = 4999.7599101968641899706115543368</span>
If the money was invested at 9%
interest compounded semiannually, the initial investment is $5000. I am hoping that this answer has
satisfied your query and it will be able to help you in your endeavor, and if
you would like, feel free to ask another question.
First you plot in the y-intercept of the equation. To find the y-intercept, substitute 0 into x. -3m will cancel our giving you y=5. x=0, y=5, the first ordered pair is (0,5). Now after you plot in the y-intercept, use your slope, which is -3, to graph the points of the equation. Starting from (0,5), move down 3 spaces on the y-axis (because it’s -3) and you’ll end up at (0,2). Next move over 1 ( all slopes with just a whole number moves on the x-axis 1 since the whole number divided by 1 doesn’t change the slope number) to the right because it’s a negative linear equation so it’ll go downward. After moving right, you’ll get (1,2). Do a couple more points starting from (1,2) then the 3rd point ABD and so on to get 3 or more points to be able to draw a linear line.