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scoray [572]
3 years ago
14

Describe in words the region of R3 reperesented by the equations or inequalities y2+z2=16

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

Answer:

It represents an infinite cylinder of radius 4.

Step-by-step explanation:

The first thing to notice is that

y^2+z^2=4^2

<u>represents a circle of radius 4</u>, with its center in the origin of a plane yz, of cartesians coordinates.

Starting from here, we have to put the coordinate x, for all values of x, to complete the space R³. <em>This will enlarge this circle we had on the plane, to infinity</em> (positive and negative on the x-axis).

Finally, we have that this region is a cylinder of radius 4, with center in y=0 and z=0, and of infinite length in the x coordinates.

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Answer:

(6,12)

Step-by-step explanation:

Substitute the value of y into y=2x:

x+6=2x

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Substitute x into the equation of y=2x

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2 years ago
I have 14 Baseballs in 23 tennis balls and some boxes of baseballs with 12 baseball and I have the equal amount of boxes of tenn
katovenus [111]

Answer:

The answer is below

Step-by-step explanation:

I have 14 Baseballs in 23 tennis balls. I bought some boxes of baseballs with 12 baseball to a box and equal amount of boxes of tennis balls with 16 balls to a box. write an expression to represent the total number of balls

Solution:

Let n represent the number of boxes of each type.

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Total number of balls = (14 + 12n) + (23 + 16n) = 14 + 23 + 12n + 16n = 37 + 28n

Total number of balls = 37 + 28n

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