<span>This question obviously requires fewer than forty words to answer fully, but to fulfil the criteria above I will explain it a bit further. The total volume is the side length to the third power of the first cube, plus the side length to the third power of the second cube: 4p^3+(2q^2)^3</span>
I hope this helps you
n=6.7/5
n =42/5
n=8,4
When you plot the given points on a coordinate plane, you can see this is an ellipse that is vertical. The equation for this is
![\frac{(x-h) ^{2} }{ b^{2} }+ \frac{(y-k) ^{2} }{ a^{2} }=1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x-h%29%20%5E%7B2%7D%20%7D%7B%20b%5E%7B2%7D%20%7D%2B%20%5Cfrac%7B%28y-k%29%20%5E%7B2%7D%20%7D%7B%20a%5E%7B2%7D%20%7D%3D1%20%20)
. Of the values a and b, a is always greater than b, so it is on our major axis, the y-axis (it's under the y-k). a is the distance from the center to the vertices. When you plotted those given points, you can see that point dead center between the foci and the vertices is the origin (0, 0). That gives us our h and k values of 0 and 0. a is the number of units from the h coordinate of 0 to the y coordinate of the vertex, so a = 12. c is the number of units from the center to the foci, so c = 11. We need to find b now using the formula for the foci which is
![c^{2} = a^{2}- b^{2}](https://tex.z-dn.net/?f=%20c%5E%7B2%7D%20%3D%20a%5E%7B2%7D-%20b%5E%7B2%7D%20%20)
. We have c and a, so
![121=144- b^{2}](https://tex.z-dn.net/?f=121%3D144-%20b%5E%7B2%7D%20)
and
![b= \sqrt{23}](https://tex.z-dn.net/?f=b%3D%20%5Csqrt%7B23%7D%20)
. Now we have all the info we need to rewrite the equation:
![\frac{(x-0) ^{2} }{23} + \frac{(y-0) ^{2} }{144}=1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x-0%29%20%5E%7B2%7D%20%7D%7B23%7D%20%2B%20%5Cfrac%7B%28y-0%29%20%5E%7B2%7D%20%7D%7B144%7D%3D1%20)
or, simplified,
Answer:
y=-6x+8
Step-by-step explanation:
(-2,2) and (-8, 1)
m represents your slope.
so
this gets you 1/6 (this is your slope from these two points but we ened to find the perpendicular slope)
all you do is take the is make 1/6= -6 (this your perpendicular slope, basically just take the reciprocal of the original slope)
so now use the equation y-y1=m(x-x1) ---> the y1, and x1 represent the place holders for the point (3,-10)
y+10=-6(x-3) (move the 10 over)
y=-6(x-3)-10
y=-6x+18-10
y=-6x+8
Answer:
64
Step-by-step explanation:
80 times .8 equals 64