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quester [9]
3 years ago
12

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 2y − 2z = 22

Mathematics
1 answer:
user100 [1]3 years ago
3 0
Given:
<span>x^2 + y^2 + z^2 + 2x − 2y − 2z = 22

group the variables
x^2+2x + y^2-2y +z^2-2z = 22

then complete the squares
x^2+2x+1 </span>+ y^2-2y+1 + z^2-2z+1 = 22 +1 +1 +1 

factor and simplify
(x+1)^2 + (y-1)^2 + (z-1)^2 = 5^2

Interpretation:
The centre of the sphere is at (-1,1,1) with a radius of 5


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coldgirl [10]

Answer:

x = 8

Step-by-step explanation

Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.

7x + 17 + 3x - 7 = 90                Combine like terms

10x + 10 = 90                           Subtract 10 on both sides

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3 years ago
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3 years ago
If 0.00005893 is expressed in the form 5.893 × 10n, what is the value of n ?
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In the scientific value of 5.893 x 10n. The standard value is 0.00005893 what is n? To better illustrate this phenomenon, we can explain it further under the rules of scientific notation.
For example. <span><span>
1. </span><span> 3 x 10^3 = 3 x 100 = 300</span></span>
<span><span>2. </span><span> 3 x 10^-3 = 3 x 0.001 = 0.003</span></span>

Solution:
0.00005893 = 5.893 x 0.00001 = 5.893 x 10^-5  
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7 0
4 years ago
Francis owns a camping supply store and just put in an order for flashlights and sleeping
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Answer:

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Step-by-step explanation:

If we let "x" be the number of the sleeping bags that were bought, we can make the following equation....

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By solving the equation we get....

(5x)(12) + (x)(45) = 1785

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105x = 1785

x = 1785 / 105

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An equation is used to show the relationship between two or more numbers and variables.

The pool holds 30 gallons of water. After 5 minutes, the pool is about one fourth full. Hence:

Time to full the pool = 5 minutes * 4 = 20 minutes

Rate of water flow = 30 gallons/20 minutes = 1.5 gallons per minute

The water is flowing into the pool at 1.5 gallons per minute and it would take 20 minutes to be filled.

Find out more on Equation at: brainly.com/question/13763238

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