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kicyunya [14]
2 years ago
13

Help, please!!!!!!!!!!!!!!

Mathematics
1 answer:
Tcecarenko [31]2 years ago
7 0

Answer:

y = 2

Step-by-step explanation:

Since the line is horizontal there cannot be any slope

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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
11 th term of the following geometric sequence.<br> 10,50,250,1250
Natasha2012 [34]

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

6 0
3 years ago
Hannah owns a lemonade stand. She records her transaction throughout the day to keep
Marina CMI [18]

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.

3 0
3 years ago
The length of the rectangle is 9 inches. The area is 72 square inches. What is the width of the rectangle?
mote1985 [20]

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! :)

4 0
3 years ago
An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?
RUDIKE [14]
(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
5 0
3 years ago
Read 2 more answers
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