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iris [78.8K]
3 years ago
15

find the length, width and area of the rectangle formed by the pints R(-2,3), S(4,3), T(4,-1) and U (-2,-1)

Mathematics
1 answer:
Semenov [28]3 years ago
4 0

check the picture below.

you can pretty much count the units off the grid, and thus get the area as well.

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The equation 7^2=a^2 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A
jeyben [28]

Answer:

The period of Y increases by a factor of k^ {3/2} with respect to the period of X

Step-by-step explanation:

The equation T ^ 2 = a ^ 3 shows the relationship between the orbital period of a planet, T, and the average distance from the planet to the sun, A, in astronomical units, AU. If planet Y is k times the average distance from the sun as planet X, at what factor does the orbital period increase?  

For the planet Y:  

T_y ^ 2 = a_y ^ 3

For planet X:  

T_x ^ 2 = a_x ^ 3

To know the factor of aumeto we compared T_x with T_y

We know that the distance "a" from planet Y is k times larger than the distance from planet X to the sun. So:  

a_y ^ 3 = (a_xk) ^ 3

So

\frac{T_y ^ 2}{T_x ^ 2}=\frac{a_y ^ 3}{a_x^ 3}\\\\\frac{T_y ^ 2}{T_x ^ 2}=\frac{(a_xk)^3}{a_x ^ 3}\\\\\frac{T_y^ 2}{T_x^ 2}=\frac{k ^ {3}a_{x}^ 3}{a_{x}^ 3}\\\\\frac{T_{y}^ 2}{T_{x}^ 2}=k ^ 3\\\\T_{y}^ 2 = T_{x}^{2}k^{3}\\\\T_{y} =k^{\frac{3}{2}}T_x

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4 0
3 years ago
Graph Photo attahed
BabaBlast [244]

North divided by Total  (Total of North, South, Central, East, and West)

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South = 4

Central = 2

East = 3

West = 2

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  1       ÷      (1 + 4 + 2 + 3 + 2 )

  1      ÷      (12)

= \frac{1}{12}

Answer: B

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A: 8*9= 72

B: euclidean theorem (35,63) (35,28) (7,28) (7,0) gcf= 7

C: 7(5+9)
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