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katovenus [111]
3 years ago
15

(1 point) find the equation of the sphere centered at (−9,4,1)(−9,4,1) with radius 4. normalize your equations so that the coeff

icient of x2x2 is 1. equation editorequation editor = 0. give an equation which describes the intersection of this sphere with the plane z=2z=2. equation editorequation editor = 0.\
Mathematics
1 answer:
CaHeK987 [17]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

Your sphere has center (-9, 4, 1) and radius 4, so its equation is

... (x +9)² +(y -4)² +(z -1)² = 16

This can be written in general form as

... x² + y² + z² +18x -8y -2z +82 = 0

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PLEASE HELPPPPP PLEASE 40 POINTS
Contact [7]

Answer:

  1. 18x - 9 = 72
  2. 3(6x - 3) = 72
  3. x = 45

Step-by-step explanation:

Apply the distributed property:

  1. Apply the distributed property: 3/5 × 30x = 18x, 3/5 × 15 = 9
  2. Re-write the equation: 18x - 9 = 72
  3. 18x - 9 = 72 is an option listed, so that's one of the answers.

See the other options:

  1. Another option that looks like it could be the answer is 3(6x - 3) = 72
  2. Apply the distributed property like we did above, so it now looks like this: 18x - 9 = 72
  3. This is the same as what we got above, so it is also an answer.

Solve:

  1. Add 9 to each side, so it now looks like this: 18x = 81
  2. Divide each side by 18 to cancel out the 18 next to x. It should now look like this: x = 4.5
  3. x = 45 is an option listed, so that's one of the answers.

I hope this helps!

6 0
3 years ago
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What is the measurement of this angle?<br><br>__°​
Contact [7]

Answer: It is a 40 degree angle

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3 years ago
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Why is it important that the weight is shown on a food label?​
Drupady [299]

There are many answers o this question

just think,

for example, a truck driver is asked to load a bunch of tomato crates onto his truck, which can only carry 1 tonne, how is he gonna know the number of tomato crates his truck can carry?

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3 years ago
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A small ferryboat transports vehicles from one island to another, and the order the vehicles arrive will lead to slightly differ
katen-ka-za [31]

Answer:

{PP, PR, RP, RR}

Step-by-step explanation:

Given that:

Passenger vehicle = P

Recreational vehicle = R

For each of the next two vehicles :

Sample space :

_____ P ______ R

P ___ PP _____ PR

R ___ RP _____ RR

{PP, PR, RP, RR}

B.) Tree diagram can be found in attached picture

5 0
3 years ago
Find the slope ! Please answer this !!!
Aleksandr-060686 [28]

Answer:

m = 4

Step-by-step explanation:

The m in y= mx+b is the slope.

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4 years ago
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