Answer:
its an open circle on -2 and the line is to the right
Step-by-step explanation:
-2x=4
x=4/-2=-2
and the sign is the same and its an open dot because its not greater too or equal to
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
Answer:
From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.
Therefore,
<u>Multiplication Rule for Independent Events</u>
For independent events A and B:
Therefore,
<h3><u>Conclusion</u></h3>
Ari is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.
Answer:
5x-y=50
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
In this problem
The west edge of the basketball court is located on the line
y = 5x + 2 -----> the slope of this line is m=5
If the east edge cannot intersect with the west edge
then
east edge and west edge must be parallel
so
The east edge could be
5x-y=50
because
y=5x-50 ----> the slope of this line is m=5
