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snow_tiger [21]
2 years ago
11

Question 1 OT 10

Mathematics
1 answer:
mixas84 [53]2 years ago
6 0

Step-by-step explanation:

I cannot read the initial expression without doubt, but I just guess it is 3×sqrt(8).

that would make it : sqrt(9×8) = sqrt(72).

A is correct : sqrt(9)×sqrt(8) = sqrt(9×8) = sqrt(72).

B is correct : sqrt(6)×sqrt(12) = sqrt(6×12) = sqrt(72).

C is NOT correct : sqrt(6)×sqrt(24) = sqrt(6×24) = sqrt(144) = 12

D is correct : sqrt(3)×sqrt(24) = sqrt(3×24) = sqrt(72)

E is NOT correct : 72 is NOT sqrt(72)

F is NOT correct : sqrt(3)×sqrt(12) = sqrt(3×12) = sqrt(36) = 6

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Can someone please explain how the answer is D
Kitty [74]

Step-by-step explanation:

Because the length of ST is calculated using pythagorean theorem:

{c}^{2}  =  {a}^{2}  +  {b}^{2}

Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:

x =  |sx - tx|  \\ y =  |sy - ty|

Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.

Using that formula, you get that y = 17 and x = 8.

Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:

{c}^{2}  =  {x}^{2}  +  {y}^{2} \\  {c}^{2}  =  {8}^{2}  +  {17}^{2} = 64 + 289  \\  {c}^{2}  = 353 \\ c =  \sqrt{353}

And finally, the correct answer is in fact 353.

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3 years ago
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AysviL [449]

Subtract 7x+3 from 2x-7

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