Answer:
Step-by-step explanation:
Given that L is a line parametrized by

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z
i.e. (2,3,-1)
So equation of the plane would be of the form

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

So equation is

b) Substitute general point of L in the plane to find the intersecting point

i.e. same point given.
Answer:
97,656,250
Step-by-step explanation:
The first term, a(1), is 10. The next is 5 times greater. And so on. Thus, the common ratio is 5, and the general formula for this sequence is
a(n) = a(1)*5^(n -1).
Therefore,
a(11) = 10*5^(11 - 1) = 10*5^10 = 97,656,250
Answer:
-2*3
Step-by-step explanation:
If she had to refund $2 for each cup (-2) and she refunded 3 cups (3) she would lose a balance of -2*3.
Answer:
8
Step-by-step explanation:
Formula for area = Length times width
72 divided by 9 = 8
Double check: 9(length) x 8 (width) = 72 (area).
Width = 8 inches
Hope this helped! If it did, please give brainliest! :)
(15x3) feet ÷ 3 = (5x1) feet = 5 feet
33 feet x 5 feet=165 feet
165 feet ÷ 3 = 55 feet
55 feet÷(33 feet÷3)=55 feet ÷ 11 feet = 5 feet
Ans:
5 + 11 x 5 feet