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Daniel [21]
3 years ago
6

After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6,3), B'(-2, 1)

Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

  • A(3, -6)
  • B(1, 2)
  • C(7, -1)

Step-by-step explanation:

Rotation by -90° about the origin is the transformation ...

  (x, y) ⇒ (y, -x)

So, your pre-image points are ...

  A'(6, 3) ⇒ A(3, -6)

  B'(-2, 1) ⇒ B(1, 2)

  C'(1, 7) ⇒ C(7, -1)

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A line goes through the points (8,9) (-2,4)
SIZIF [17.4K]

Answer:

y-9=1/2(x-8)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-9)/(-2-8)

m=-5/-10

m=1/2

y-y1=m(x-x1)

y-9=1/2(x-8)

8 0
2 years ago
Which choice is equivalent to the expression below ? sqrt -12
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6 0
3 years ago
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1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9+10 times 2
Maksim231197 [3]

Answer:

200

Step-by-step explanation:

<u>Step 1:  Add</u>

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

1 + 2 = 3

3 + 3 = 6

6 + 4 = 10

10 + 5 = 15

15 + 6 = 21

21 + 7 = 28

28 + 8 = 36

36 + 9 = 45

45 + 1 = 46

46 + 2 = 48

48 + 3 = 51

51 + 4 = 55

55 + 5 = 60

60 + 6 = 66

66 + 7 = 73

73 + 8 = 81

81 + 9 = 90

90 + 10 = 100

<em>100</em>

<u>Step 2:  Multiply</u>

100 * 2

<em>200</em>

Answer:  200

6 0
2 years ago
A sequence of 1 million iid symbols(+1 and +2), Xi, are transmitted through a channel and summed to produce a new random variabl
Zigmanuir [339]

Answer:

E(w) = 1600000

v(w) = 240000

Step-by-step explanation:

given data

sequence = 1 million iid  (+1 and +2)

probability of transmitting a +1 =  0.4

solution

sequence will be here as

P{Xi = k } = 0.4              for k = +1

                  0.6              for k = +2

and define is

x1  + x2 + ................ + X1000000

so for expected value for W

E(w) = E( x1  + x2 + ................ +  X1000000 )   ......................1

as per the linear probability of expectation

E(w) = 1000000 ( 0.4 × 1 + 0.6 × 2)

E(w) = 1600000

and

for variance of W

v(w) = V ( x1  + x2 + ................ + X1000000 )    ..........................2

v(w) = V x1  + V x2 + ................  + V  X1000000

here also same as that xi are i.e d so cov(xi, xj ) = 0 and i ≠ j

so

v(w) = 1000000 ( v(x) )

v(w) = 1000000 ( 0.24)

v(w) = 240000

8 0
3 years ago
Y = 3x <br><img src="https://tex.z-dn.net/?f=y%20%3D3x%20%7B%7D%5E%7B2%7D%20%20%2B%209x%20%2B%206" id="TexFormula1" title="y =3x
Alchen [17]
Comment if you want me to give you the step by step thank you

4 0
2 years ago
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