Answer: 40
Step-by-step explanation:
3x-10=x+70
3x-x=70+10
2x=80
x=8<u>0</u>
2
x=40
Actually, the median is not the same as the average.
The mean and the average are the same.
To find the median, put these numbers in order.
So 4, 5, 8, 9, 10. Now see which number is in the middle.
It is 8, so 8 is the median number.
Shape A is congruent to Shape B because If you were to rotate one of the two and flip it the would like up and match.
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