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irinina [24]
3 years ago
11

Find the distance between the points given. (-3, -6) and (3, 2)

Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

Answer:

10 units

Step-by-step explanation:

Moving from (-3, -6) to (3, 2), x increases by 6.  Draw a triangle and use this 6 as the length of the base.  y increases by 8.  Label the height of the triangle with this 8.  Then find the hypotenuse (which is also the desired distance) by using the Pythagorean Theorem:

6^2 + 8^2 = d^2, where d is that distance:

36 + 64 = 100 = d^2, and so d = 10.  The distance in question is 10 units.

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The Pyraminx is a Rubik's cube-type toy in the shape of a tetrahedron. The Pyraminx shown below has edges 15\,\text{cm}15cm long
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Answer:

8.727

Step-by-step explanation:

Since the below edge, d = 15 cm, and the height, h = 12.2 cm, we will use the Pythagorean  theorem to find the distance r.

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(15)^2 = r^2+(12.2)^2

r^2 = (15)^2-(12.2)^2=225-148.84=76.16

r=\sqrt{76.16}=8.727

4 0
3 years ago
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