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Stells [14]
3 years ago
14

An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram c

oincide with its preimage during the rotation
Mathematics
1 answer:
Aliun [14]3 years ago
5 0

Answer:

2

Step-by-step explanation:

A parallelogram is 4 sided figure. Since it is a irregular, the sides and angles must be in different measures.

When we rotating the irregular parallelograms about the midpoint of its diagonal, it will coincide with its pre-image at 180 degrees and 360 degrees.

Therefore, the answer is 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
A plumber charges an initial fee of $60 and $15 per hour. Write an equation that represents how much the plumber charges, y, if
34kurt

Answer:

Y=15x+60

Step-by-step explanation:

6 0
3 years ago
Một lô hàng có 6 chính phẩm và 4 phế phẩm, lấy ngẫu nhiên 2 sản phẩm. tìm kỳ vọng của số chính phẩm
lana66690 [7]

Answer:

I'm sorry I didn't understand

Step-by-step explanation:

sorry

4 0
3 years ago
Please help #11 ty!!
algol13

I think it is A I believe

3 0
3 years ago
(-3/4)*(-3/5)*(-1)= <br> pls help my teacher is gonna kill me
GaryK [48]

Answer:

-9/20

Step-by-step explanation:

For the first two terms, all you have to do is multiply the numerators and the denominators, and cancel out the negative, but because there is a -1 after that, the negative sign comes back, although the -1 doesn't really change the number.

3 0
3 years ago
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