Since this is a 3D object, the center of the sphere has 3 coordinates: x=2, y = -6 and z = 4.
The equation would be:
(x-2)^2 + (y+6)^2 + (z-4)^2 = 5^2 (answer).
To find the equation of the intersection of this sphere with the xy plane, let z = 0. Then (x-2)^2 + (y+6)^2 + (0-4)^2 = 25
This simplifies to (x-2)^2 + (y+6)^2 = 5^2 (or 25).
Find and describe the sphere's intersections with the other 2 coord. planes.
Answer: They ate at the same pace.
Step-by-step explanation: assuming you want to know who ate more faster you can do 18 / 30 and 24 / 4 to find out who ate more in 10 seconds each.
18 / 3 = 6 and 24 / 4 = 6. So they ate at the same speed / pace.
Hope this helps! Brainliest and / or a rating out of 5 stars would be appreciated :)
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Define their age
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Let Jim be x years old
Jim = x
Father = x + 31 ← Jim is 31 years younger than the father
Grandfather = x + 70 ← Grandfather is 70 years older than Jim
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Combined age is 137, find x
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x + (x + 31) + (x + 70) = 137
x + x + 31 + x + 70 = 137
3x + 101 = 137
3x = 137 - 101
3x = 36
x = 12
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Find their age
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Jim = x = 12
Father = x + 31
Father = 12 + 31
Father = 43
Grandfather = x + 70
Grandfather = 12 + 70
Grandfather = 82
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Answer: Jim = 12 ; Father = 43 ; Grandfather = 82
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Answer:
The y intercept is 1/2
i.e. The starting height is 1/2
Step-by-step explanation:
Given
Required
Determine the y intercept --- <em>Missing</em>
At y intercept: 
So:
Substitute
<em>The y intercept is 1/2</em>
