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2 years ago

Does 8, 10, 6 form a right triangle

Mathematics

1 answer:

loris [4]2 years ago

8 0

Answer:

Step-by-step explanation:

8, 10, 6

10 - 8 = 2

2 + 6 = 8

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Write the equation of the parabola in vertex form.<br> vertex (2,4), point (3,-2)<br> f(x)=

Maurinko [17]

Answer:

f(x)=2x2−8x+4. Explanation: the equation of a parabola in vertex form is.

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2 years ago

Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation? A. 90 degrees clockwise rotation B. 180 degrees

andreyandreev [35.5K]

Answer:

The correct option is;

A. 90 degrees clockwise rotation

Step-by-step explanation:

From the given information, we have;

The coordinates of the pre-image is K(-6, 9)

The coordinates of the image is k'(9, 6) which is similar to a transformation of a pre-image of (x, y) to an image of (y, -x)

The transformation from (x, y) to (y, -x) can be obtained from either;

1) A rotation of 90° (clock wise)

2) A rotation of 270° counter clockwise

Therefore, the correct option that maps K(-6, 9) to K'(9, 6) is a 90 degrees clockwise rotation.

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2 years ago

Find the volume of the solid whose base is the region Ix I Iy I < 1 and whose vertical cross sections perpendicular to the y-

gavmur [86]

Answer:

volume of the solid = $\frac{\pi }{3}$

Step-by-step explanation:

As given , the region : |x| + |y| $\leq$ 1

when y $\geq$ 0 ,

|x| + y = 1

⇒|x| = 1 - y

when y ≤ 0 ,

|x| - y = 1

⇒|x| = 1 + y

The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)

As given , the vertical cross section are semicircle

As we know that the area of semi circle = $\frac{1}{2}$ $\pi x^{2}$

Now,

Volume = $\int\limits^0_-1 {\frac{\pi }{2} (1+y)^{2} } \, dy$ + $\int\limits^1_0 {\frac{\pi }{2} (1-y)^{2} } \, dy$

= $\frac{\pi }{2} (\frac{(1+y)^{3} }{3} )$ - $\frac{\pi }{2} (\frac{(1-y)^{3} }{3} )$

= $\frac{\pi }{6}$ [1-0] - $\frac{\pi }{6}$ [0-1]

= $\frac{\pi }{6} + \frac{\pi }{6} = 2\frac{\pi }{6} = \frac{\pi }{3}$

⇒volume of the solid = $\frac{\pi }{3}$

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3 years ago

A pallet requires 2 mins 15 seconds to prepare for shipment and 30 seconds to load on a trailer how long will it take to prepare

Reika [66]

<span>21.4333333333 thats wut i got hope i helped :-)

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3 years ago

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GuDViN [60]

Answer:

c possibly

Step-by-step explanation:

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2 years ago