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3 years ago

Find an equation of the largest sphere with center (3,3,6) that is contained completely in the first octant.

Mathematics

1 answer:

IrinaK [193]3 years ago

5 0

The equation of a sphere centered at (h, j, k) with radius r is

... (x -h)² +(y -j)² +(z -k)² = r²

The sphere can have a radius no larger than the distance to the nearest octant boundary, one of x=0, y=0, or z=0. That is, the radius must be 3, so the equation is

... (x -3)² + (y -3)² + (z -6)² = 9

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Gabriella swims 2 laps per minute. What is the associated rate? ___ minute per lap

Leokris [45]

Answer:

The answer is D.

Step-by-step explanation:

It is given that Gabriella swims 2 laps for 1 minute. So in order to find how many minutes did he swim for each lap, you have to divide it by 2 :

2 laps = 1 minute

2 laps ÷ 2 = 1 minute ÷ 2

1 lap = 1/2 minute

= 30 seconds

Test :

Gabriella swim 1/2 min per lap. So if he swim 2 laps, you have to multiply it by 2 :

1/2 × 2 = 1 minute

7 0

3 years ago

Read 2 more answers

HELP ME PLEASE THIS IS CUNFUSING! <br><br> I will favorite and give you 5 stars

S_A_V [24]

Answer:

it's esay so it's that u subtract 15 and 4 u get 11 u just leave the 10 there and 15- 4 is 11

4 0

3 years ago

Taylor has nickels and dimes. The number of nickels is 7 less then eight times the number of dimes. If d represents the number o

svp [43]

Answer: $8d-7$

Step-by-step explanation:

Given

Taylor has nickels and dimes

Number of nickels is 7 less than eight times the number of dimes

If d is the number of dimes, then number of nickels is given by

$\Rightarrow \text{Number of Nickels = }8d-7$

4 0

2 years ago

How would you write 1 - x^4 before you divide it by x - 1?

Taya2010 [7]

Answer:

See below.

Step-by-step explanation:

A good idea would be to write if as:

-x^4 + 0x^3 + 0x^2 + 0x + 1, then you can perform long division.

8 0

3 years ago

How to factor 18a2+6a5-8a3

Zielflug [23.3K]

Answer:

$2a^2(3a^3-4a+9)$

Step-by-step explanation:

You could change the equation to this: $6a^3a^2-8a^1a^2+18a^2$

*This is the exact same as $18a^2+6a^5-8a^3$

You can continue to break this down until you get:

$2*3a^3a^2-2*4a^1a^2+2*9a^2$

*This too = $18a^2+6a^5-8a^3$

With this new equation, you can cancel out the common term: $2a^2$

You come up with my answer.

<em>Hope this helps!!</em>

7 0

3 years ago