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nadezda [96]
3 years ago
15

The answers to the 3 questions

Mathematics
1 answer:
Simora [160]3 years ago
3 0
  • It is linear as the equation performs ax+by +c
  • y = 90.2x - 177670
  • number of student to enroll 2011 is 3722

Step-by-step explanation:

  • Linear is a straight line.
  • Quadratic is a square which generates parabola.
  • Quadratic formula is (ax)^2 + bx + c = 0.
  • Linear formula is ax+bx + c = 0
  • To  forecast time series data modelling can be used.
  • To form a linear equation y = mx + c.
  • After finding x is the required value , m is the intercept and C constant.
  • X axis have years and Y axis has the value.
  • to find number of students x is 90.2 * 2011 - 177670.
  • The result comes to 3722.
  • In Data analysis predictive modeling is the second phase.
  • It is important because it helps in associating to variables.
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Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22
madam [21]

The equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Given equation of sphere be x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like  x^{2} +y^{2} +z^{2} =r^{2}.

The given equation is x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We have to break 22 which is in right side into various parts according to the left side of the equation.

x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36

x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36

x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36

x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36

(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}

Hence the equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Learn more about equations at brainly.com/question/2972832

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