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The team ran 2 miles.
Step-by-step explanation:
Step 1; The track is
miles long and the team ran 2
laps on it. To calculate the distance run we multiply the number of laps ran with the distance on each lap.
Distance run = Number of laps × Distance on each lap.
Step 2; We convert 2
from a mixed fraction into an improper fraction. To do this, we multiply the whole number with the denominator of the fraction and add with it the numerator of the same fraction whereas the denominator remains unchanged. To convert the fraction 2
= ((2 × 3) + 2) / 3 =
.
Distance run = Number of laps × Distance on each lap =
×
=
= 2 miles.
Answer:
1692
Step-by-step explanation:
2 (4*189 + 90)
=2 (756+90)
= 2 ×846
=1692
Answer:
2/5
Step-by-step explanation:
= -5x - x = 2 + x
= -5x - x - x = 2
= x - x - x = -2/5
= -x = -2/5
= x = 2/5
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