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attashe74 [19]
3 years ago
5

Find an equation of a sphere if one of its diameters has endpoints (3, 2, 5) and (5, 6, 7). Incorrect: your answer is incorrect.

Mathematics
1 answer:
prohojiy [21]3 years ago
3 0

use midpoint equation

radius = distance between midpoint and one of the endpoints.

midpoint: (3+5)/2, (2+6)/2, (5+7)/2 = (4,4,6)

equation of sphere: (x-4)^2 + (y-4)^2 + (z-6)^2 = r^2

square distance between midpoint and one of the endpoints.

r^2 = 6

Equation: (x-4)^2 + (y-4)^2 + (z-6)^2 = 6

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25 POINTS
Semenov [28]

If the slope of AB = CD and BC = AD it's a parallelogram:

Slope of AB = 6+1 / -9+5 = -7/4

CD = -2-5 / 3+1 = -74

These are equal.

BC = 5-6 / -1 +9 = -1/8

AD = -2 +1 / 3+5 = -1/8

These are also equal so it is a parallelogram.

Now to find if the diagonals are perpendicular find the slope of the perpensicular points:

AC = 5 +1 / -1 +5 = 6/4 = 3/2

BD = 6+2 / -9 -3 = 8/-12 = -2/3

Because BD is the reciprocal of AC, this means they are perpendicular.

And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.

5 0
3 years ago
Answer in slope intercept form (y = Mx + b)
denpristay [2]
The answer is y= 1x + 12

5 0
2 years ago
I NEED HELP ASAP PLEASE!!!
Artemon [7]

Answer:

-3x+1y=-1

or

3x-1y=1

or

by multiplying with 1/3 the first equation we get

-1x+1/3y=-1/3

or from second equation

1x-1/3y=1/3

Step-by-step explanation:

y-y1=m(x-x1)

y1=-7

x1=-2

m=3

so

y-(-7)=3(x-(-2))

y+7=3(x+2)

y+7=3x+6

-3x+y=6-7

-3x+ 1y= -1

8 0
2 years ago
I don't know this. (3)
Dahasolnce [82]

Answer:

16 feet

Step-by-step explanation:

add 10 ft & 6 ft

3 0
2 years ago
Write two numbers that multiply to the value on top and add to the value on bottom
xenn [34]

Answer:

3 and 2

Step-by-step explanation:

3 x 2 = 6

3 + 2 = 5

3 0
3 years ago
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