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Step2247 [10]
3 years ago
11

If (3,2) is a point on the line whose equation is y = 3x + k, , determine the value of k.

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Answer: -7

Step-by-step explanation: x=3 and y=2

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Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

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

2x+3y-z =K

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

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

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

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

3 0
3 years ago
Bob wants to play a game in which each player gets 3 cards. He has a total of 22 cards. How many people can play? How many cards
Norma-Jean [14]

Step-by-step explanation:

no. of players = 22/3 = 7 remainder 1

therefore, 7 people can play, and 1 card remaining

3 0
3 years ago
Aunt bess uses 3 cups of oatmeal to bake 6 dozen cookies how many cups of oatmeal will she need to bake 18 dozen cookies
Andrei [34K]
There are several important information's already given in the question. Based on those information's the answer to the question can be easily deduced.
Number of cups of Oatmeal
required by Aunt Bess for making 6 dozen cookies = 3
Then
Number of cups of oatmeal
required by Aunt Bess for making 1 dozen cookies = (3/6)
                                                                                  = 1/2
So
Number of cups of oatmeal
required by Aunt Bess for making 18 dozen cookies = (1/2) * 18
                                                                                     = 9 cups
So Aunt Bess will require 9 cups of oatmeal for baking 18 dozen cookies. I hope the procedure is clear enough for you to undestand.
4 0
3 years ago
I need to answer for the parentheses
rewona [7]

Answer:

(4x+2) +(3x+4)

Step-by-step explanation:

2(6x²+11+4)

(6x+3)+(3x+4)

12x²+16x+6x+8

12x²+22x+8

let me know if this helps guys my husband helped me with it he is good at math

6 0
3 years ago
Which of the following best describes the expression 12(X+3)
nydimaria [60]

Answer: 12x+36

Step-by-step explanation:

If you use distributive property, 12 x X is 12x and 12 x 3 is 36 so you get 12x+36

5 0
3 years ago
Read 2 more answers
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