Answer:
Step-by-step explanation:
The line can be written as ![\frac{x-1}{2}= \frac{y-3}{-1}= \frac{z-0}{1} =t](https://tex.z-dn.net/?f=%5Cfrac%7Bx-1%7D%7B2%7D%3D%20%5Cfrac%7By-3%7D%7B-1%7D%3D%20%5Cfrac%7Bz-0%7D%7B1%7D%20%3Dt)
Since the line is contained in the plane, if we take any two points of this line they will lie in the plane.
Give values for t =0 and 1
We get two points (x,y,z) as (1,3,0) and (3,2,1)
Now we have another non collinearpoint (1,1,1) (given)
The plane equation can be written using these 3 points using the determinant.
x-x1 y-y1 z-z1
x2-x1 y2-y2 z2-z1
x3-x1 y3-y1 z3-z1 =0
Substitute the values form the points.
We get
![\left[\begin{array}{ccc}x-1&y-3&z-0\\2&-1&1\\0&-2&1\end{array}\right] =0](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-1%26y-3%26z-0%5C%5C2%26-1%261%5C%5C0%26-2%261%5Cend%7Barray%7D%5Cright%5D%20%3D0)
Expand the determinant as
(x-1)(-1+2)-(y-3)(2-0)+z(-4-0) =0
x-1-2y+6-4z =0
x-2y-4z+5 =0
The answer to this is -1/12 so none of these options is correct
Jim has 54 comics because 2/3 of 27 is 18 and 18x3=54.
Answer:
The Equation for lyft is:
4.50x
The Equation for uber is
2.50x+5
Step-by-step explanation:
If you want to determine which one is better then you can just plug in the distance in place of x. For example if it asked you which one was better for 5 miles, uber or lyft you could plug 5 into the equation.
It would look like this
Lyft: 4.50 (5)= 22.5
Uber
2.50 (5) +5= 17.5
If the distance were 5 miles uber would be the better option.
Answer:
1. 60.50(0.20)
2. 34(0.15) <How much the coupon takes off
3. 157.30(0.10) <How much the coupon takes off
4. 10.49/58.25 <The percentage of the tip
5. 94.20(0.20) <The percentage of the tip
94.20(0.15) <How much the coupon takes off of the price of the meal.
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Hope I helped!</h3>