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3 years ago

9

Let $x$ and $y$ be real numbers such that

1 answer:

Tresset [83]3 years ago

6 0

Answer:

we needa get some money!

Step-by-step explanation:

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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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7 0

1 year ago

Write log2 0.25 = -2 in exponential form

oee [108]

Answer:

0.25 = 2^-2

The "^" means that -2 is an exponent on top of 2.

6 0

3 years ago

these cards are put int a bag. One card is chosen at random. (1,2,3,4,5,6,7,8,9,10) a.) what is the probability of choosing the

Rama09 [41]

Answer:

There are 10 cards in total.

The probability of choosing card with the number 4 is 1/10.

The probability of choosing card with the number 1 is 2/10 = 1/5 (since there are 2 cards with the digit 1 - 1, 10)

5 0

4 years ago

Read 2 more answers

What is the area of the ice skating rink

dedylja [7]

Answer:

A

Step-by-step explanation:

50 x 50 is equivalent to 2500

8 0

3 years ago

Read 2 more answers

Slope = 2/3, passing through (7,4). Write an equation for the line in point-slope form.

Marat540 [252]

Answer:

y - 4 = (2/3)(x - 7)

Step-by-step explanation:

(see attached for reference)

we are given slope, m = 2/3 and point (x₁, y₁) is (7,4)

y - y₁ = m(x - x₁)

substituting the given values into the general equation

y - y₁ = m(x - x₁)

y - 4 = (2/3)(x - 7)

4 0

3 years ago