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ioda
4 years ago
7

WHAT IS THE LENGTH OF DT?

Mathematics
1 answer:
alexandr402 [8]4 years ago
4 0

There are two ways you can find out the length: Draw a right triangle with the two ordered pairs and find the hypotenuse of it using Pythagorean theorem or use the distance formula. I'm going to use the latter.

Distance formula = \sqrt{(X2-X1)^{2} + (Y2-Y1)^{2}} where (X1, Y1) is the first ordered pair listed and (X2, Y2) is the second.

Now, just plug in and solve.

Distance = \sqrt{(7-(-6))^{2} + (-8 - (-2))^{2}} \\ \sqrt{(7+6)^{2} + (- 8+2)^{2}} \\ \sqrt{13^{2} + (- 6)^{2}} \\ \sqrt{169 + 36} \\ \sqrt{205}

Your distance between the two points is √205 units or ≈ 14.32 units

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Answer:

x = 7 & y = 8

Step-by-step explanation:

We know that

Mean = Sum of terms/Total terms

=> Mean = 4 + 6 + x + y + 10/5

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Now,

Median = (n + 1)/2

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x × 5 = 20 + x + y

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Since x and y are in order so,

Possible outcomes will be 7,8 & 9

(7,8) & (8,9) & (7,9)

Taking x = 7 and y = 8

4(7) = 20 + 8

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Hence,

x = 7 and y = 8

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