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alukav5142 [94]
3 years ago
5

If Z, Y, and A are the midpoints of triangle VWX, what is true about AY and XV

Mathematics
1 answer:
Darya [45]3 years ago
4 0
They are parallel to each other. and ay is half the length of xv

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Show that f(x) f(y) - f(x+y), where f(x)= [cos x - sin x o] [sin x cos x o] [o o 1]
Naddik [55]

Answer:

The answer is below

Step-by-step explanation:

Show that f(x) f(y) = f(x+y)

From trigonometric:

sin(x + y) = sinxcosy + cosxsiny

sin(x - y) = sinxcosy - cosxsiny

cos(x + y) = cosxcosy - sinxsiny

cos(x - y) = cosxcosy + sinxsiny

f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\

f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)

4 0
3 years ago
WINNER GETS BRAINLY :)) Collins has a part-time job as a dog walker. The table below shows the amount of money Collins earned fo
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

45

62

20

7 0
3 years ago
Ethan pays 52.80 for some more f the boxes work out the number of boxes he buys 1 box 2.40 2 4.80 and 5 12 10 24
Slav-nsk [51]
The pricing of the boxes seems to be consistently 2.40 per box. Ethan's cost is
.. 52.80 = 2.40 * (# of boxes)
.. 52.80/2.40 = (# of boxes)
.. 22 = # of boxes

Ethan has bought 22 boxes for 52.80.
5 0
3 years ago
the oval track below is formed by a straight section on each side and a semicircle at each end. what is the approximate distance
nikklg [1K]

Answer:

1040

Step-by-step explanation:

Circumference of the Circle: 439.82

Add that to the length of the rectangle time two: 439.82+(300x2)

That will give you the perimeter around the entire track:

439.82+(300x2)

439.82+600

1039.82

Rounded that is: 1040

<em>Hope this Helps :)</em>

4 0
3 years ago
Read 2 more answers
there are 239 people in the first six rows of the movie theater if the same number of people are in the next six rows about how
bija089 [108]

Answer:

478 people

Step-by-step explanation:

All you need to do for this problem is simply multiply 239 by 2. If the first 6 rows are 239 people, and so are the next 6, that's all you need to do.

239*2=478

8 0
3 years ago
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