Answer:
The equation of plane is
Step-by-step explanation:
We have to find the equation of plane passing through the point (0,-1,1) and orthogonal to the planes
Thus, we can write:
We will evaluate:
![n = n_1\times n_2\\\\n = \left[\begin{array}{ccc}i&j&k\\3&4&-3\\-3&2&4\end{array}\right] \\\\n = i(16 + 6)-j(12-9) +k(6+12)\\n = 22i-3j+18k\\n =](https://tex.z-dn.net/?f=n%20%3D%20n_1%5Ctimes%20n_2%5C%5C%5C%5Cn%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C3%264%26-3%5C%5C-3%262%264%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5Cn%20%3D%20i%2816%20%2B%206%29-j%2812-9%29%20%2Bk%286%2B12%29%5C%5Cn%20%3D%2022i-3j%2B18k%5C%5Cn%20%3D%20%3C22%2C-3%2C18%3E)
The required plane passes through the point (0,-1,1)
Thus, the equation of plane is
is the required equation of the plane.
Given the fraction 5/12 and 9/16, the least common denominator can be get by giving the possible common multiples of 12 and 16.
12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
16 = 16, 32, 48, 64, 80, 96, 112, 128, ...
So looking above, the common are 48 and 86 but the smallest is 48.
So the LCD is 48.
9514 1404 393
Answer:
(b) 1.4"
Step-by-step explanation:
A 2.8" circle is one that has a <em>diameter</em> of 2.8". The divider will be set to the radius, which is half the diameter.
The divider is set to 1.4".
Let's say that the diameter was 1/2 mile. So the diameter is 1/2, then you need to find the circumference, aka perimeter of the circle. So 1/2 times 3.14 = 1.57 miles So then you would do 1.57/2 = .785 of an hour If you round to nearest tenth The answer is .8 of an hour.
