Answer:
70 minutes
Step-by-step explanation:
3 1/2 ÷1/4= 14 ×5= 70
so you first make 3 1/2 to an improper fraction, then you find the greatest common denominator between 7/2 and 1/4 which is 4, so you multiple 7/2 by 2 and get 14/4 and divide that by 1/4 and get 14minutes now multiply that by 5 laps and receive 70 minutes.
Mid point formula
(x1 + x2) , (y1+y2)
--------- --------
2 2
Thus for x it would be (6+(-2)) /2 or 4/2 or 2.
For y (-4 + 4) / 2 or 0 / 2 or 0.
Mid point is (2,0)
The ration is 11 to 33
It could also be 11/33
Or it could also be 11:33
Hope this helps! - Alyssa
Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0
