The normal vector to the plane <em>x</em> + 3<em>y</em> + <em>z</em> = 5 is <em>n</em> = (1, 3, 1). The line we want is parallel to this normal vector.
Scale this normal vector by any real number <em>t</em> to get the equation of the line through the point (1, 3, 1) and the origin, then translate it by the vector (1, 0, 6) to get the equation of the line we want:
(1, 0, 6) + (1, 3, 1)<em>t</em> = (1 + <em>t</em>, 3<em>t</em>, 6 + <em>t</em>)
This is the vector equation; getting the parametric form is just a matter of delineating
<em>x</em>(<em>t</em>) = 1 + <em>t</em>
<em>y</em>(<em>t</em>) = 3<em>t</em>
<em>z</em>(<em>t</em>) = 6 + <em>t</em>
Answer:
2 cups of flour
Step-by-step explanation:
4-2 = 2
3+4+5=7+5=12
4+5+3=9+3=12
In addition the order of the numbers don't matter.
A=2
B=5
C=3
I think this is the right answer
Note that a percentile tells us how many percents of numbers that are above the number at the percentile. So the 70th percentile tells us that 70% of the students are taller than Jake. That means 30% of the students are either at the same height or shorter than Jake.
30% of 1100 would be 0.3*1100 = 330.
So there are 330 students that are either at the same height or shorter than Jake.
