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VMariaS [17]
2 years ago
9

Write the sphere in standard form. 4x2 + 4y2 + 4z2 − 24x + 16y = 1

Mathematics
1 answer:
dybincka [34]2 years ago
5 0

Answer:

  (x -3)^2 +(y +2)^2 +z^2 = 13.25

Step-by-step explanation:

Divide by 4 and complete the squares.

  x^2 -6x +y^2 +4y +z^2 = 1/4

  (x^2 -6x +9) +(y^2 +4y +4) +z^2 = 13 1/4

  (x -3)^2 +(y +2)^2 +z^2 = 13.25

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50 POINTS!!!!! PLEASE WILL MARK BRAINLIEST
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Answer:

  • Q11 - 12 sides
  • Q12 - 10 sides

Step-by-step explanation:

<u>Use the formula for sum of interior angles of a regular polygon:</u>

  • S = 180(n - 2)

<u>Each angle A measures:</u>

  • S/n = 180(n - 2)/n
  • A = 180(n - 2)n
  • An = 180n - 360
  • (180 - A)n = 360
  • n = 360/(180 - A)
<h3>Question 11</h3>

<u>Each angle is 150, then finding n:</u>

  • n = 360/(180 - 150)
  • n = 360/30
  • n = 12
<h3>Question 12</h3>

<u>Each angle is 144, find n:</u>

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3 0
2 years ago
Read 2 more answers
Sam evaluated the expression x2y for x = 7 and y = 9. He got a value of 49. which of the follwing statements is correct
Marrrta [24]
<span>B. sam forgot to multiply. 
 The correct answer is
</span> x^2*y=(7^<span>2)*(9)=49*9=441 </span> 
7 0
3 years ago
In a systematic review with a meta-analysis, researchers combine the results of each of the individual studies to create a large
seropon [69]

Answer: Power Analysis

Step-by-step explanation:

5 0
3 years ago
The age that women in Virginia decide to get married for the first time is normally distributed with an average of 26.3 years an
Nuetrik [128]

Answer:

The answer is 0.9789 approximately equal to 0.9790

Step-by-step explanation:

See the attached files for the details, hope it is clearly understood.

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
4f5c24a39cc9fe2c66cb13edb93a2404.png
3 0
3 years ago
What is the value of x in the diagram?
dalvyx [7]

Answer:

x = 30

Step-by-step explanation:

here 50 is hypotenuse as it is opposite of 90 degree.

x and x + 10 are the two other smaller sides of a right angled triangle respectively.

using pythagoras theorem,

a^2 + b^2 = c^2

x^2 + (x + 10)^2 = 50^2

x^2 + x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 - 2500 = 0

2x^2 + 20x - 2400 = 0

2(x^2 + 10x - 1200) = 0

x^2 + 10x - 1200 = 0

x^2 + (40 - 30) - 1200 = 0

x^2 + 40x - 30x - 1200 = 0

x(x + 40) - 30(x + 40x) = 0

(x + 40)(x - 30) = 0

either x + 40 = 0          OR x - 30 = 0

x = 0 - 40

x = -40

x - 30 = 0

x = 30

x = -40,30

since the length and distance is not measured in negative ur answer will be 30

credit goes to sreedevi102

thank u very much . At first i was wrong and giannathecookie i m really sorry

3 0
3 years ago
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