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3 years ago

7

What expression gives the distance between the points (4,6) and (7,-3)?

1 answer:

solniwko [45]3 years ago

6 0

Answer:

$\sqrt{(-3^2-6)+(7^2-4^2)}$

Step-by-step explanation:

Use the form: $\sqrt{(x^2-x^1)+(y2-y1)^2$

so: $\sqrt{(-3^2-6)+(7^2-4^2)}$

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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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2 years ago

A store that specializes in shipping packages reports that the distribution of packages shipped during the winter holidays is no

scZoUnD [109]

Answer: Hey, do you know how to screenshot images? There is also a website for Brainly if needed

Step-by-step explanation:

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3 years ago

7. Which relation is a function?

Tamiku [17]

Answer:

D. relation is a function

hope this helps :-))

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3 years ago

Read 2 more answers

1/10 Florida land area of 1700000km2 Alaska

Agata [3.3K]

$1,700,000\times \frac{1}{10} = \frac{1,700,000}{10} = 170,000$

<span>Florida has a land area of 170,000 km^2</span>

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3 years ago

How do you solve this?<br> 5x-4y+6x<br> if x=8

ololo11 [35]

First plug in the numbers 5 x 8 = 40
40-4y+6x8=48
40-4y+48

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3 years ago