Answer:
![d = \sqrt{14} = 3.74...](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B14%7D%20%3D%203.74...)
Step-by-step explanation:
To find the distance between (8, -3, 4) and (6, -4, 1), use the distance formula for (x,y,z) points. It is very similar to (x,y) points.
![d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2 - z_1)^2} \\d = \sqrt{(8 - 6)^2 + (-3--4)^2 + (4-1)^2} \\d = \sqrt{(2)^2 + (1)^2 + (3)^2} \\d = \sqrt{4 + 1 + 9}\\ d = \sqrt{14} = 3.74...](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%20%2B%20%28y_2-y_1%29%5E2%20%2B%20%28z_2%20-%20z_1%29%5E2%7D%20%5C%5Cd%20%3D%20%5Csqrt%7B%288%20-%206%29%5E2%20%2B%20%28-3--4%29%5E2%20%2B%20%284-1%29%5E2%7D%20%5C%5Cd%20%3D%20%5Csqrt%7B%282%29%5E2%20%2B%20%281%29%5E2%20%2B%20%283%29%5E2%7D%20%5C%5Cd%20%3D%20%5Csqrt%7B4%20%2B%201%20%2B%209%7D%5C%5C%20d%20%3D%20%5Csqrt%7B14%7D%20%3D%203.74...)
<u>Answer:</u>
The equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is ![y+6=\frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y%2B6%3D%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
<u>Solution:</u>
Given that line passes through (-2, -6) and has slope of 1/3
We have to find the equation of the line
The point slope form is given as
![y-b=m(x-a)](https://tex.z-dn.net/?f=y-b%3Dm%28x-a%29)
where m is the slope of the line and a, b are the x, y coordinates of the given point through which the line passes.
Here in this question, m = 1/3 and a = -2 and b = -6
By substituting in point slope form we get,
![y - (-6) = \frac{1}{3}(x - (-2))\\\\y + 6 = \frac{1}{3}(x + 2)](https://tex.z-dn.net/?f=y%20-%20%28-6%29%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%20-%20%28-2%29%29%5C%5C%5C%5Cy%20%2B%206%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%20%2B%202%29)
Hence the equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is ![y+6=\frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y%2B6%3D%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
Answer:
3√265
Step-by-step explanation:
The distance between the given points is √265. If all the side are the same length on an equilateral triangle, then the perimeter is 3 times as long.
Answer:
ttttihbogfpvvovovibjnphgbpvvvohj
he would have 11 kites in total, hope this helps!