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2 years ago

PLS HELP ASAP What pattern do you notice about the exponents when dividing two powers with the same base?

Mathematics

1 answer:

Tanya [424]2 years ago

4 0

Answer:

subtract the exponents

Step-by-step explanation:

To divide powers of the same base, you can subtract the exponents.

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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

#SPJ4

7 0

1 year ago

in your own words explain the place value relationship when the same two digits are next to each other in a multi digit number

zavuch27 [327]

I'll use 44.
This number broken down means 4 in the 10's place and 4 in the ones place
4(10)+4(1)= 40+4=44

4 0

3 years ago

The photo is clear now so what is answer to this question?

erik [133]

Answer:

x = 4

Step-by-step explanation: because 13 - 13 u cross them out and u get 17 subtract 13 and ounce u do them u get 4 so then now your left with x so u bring that down and then u get x = 4 hopefully i answered your question or answer have a nice day as well

5 0

3 years ago

Graph the image of Q(-8, 2) after a rotation 90° counterclockwise around the origin.

True [87]

Answer:

djfbkthuiyguhfdmc.v

Step-by-step explanation:

7 0

3 years ago

A carpender buys bolts for 1.18 per pound. The carpenter brought 18.5 lb. of bolts. How much did the bolts cost?

riadik2000 [5.3K]

All you have to do is multiply the two numbers together
1.18 x 18.5 = 21.83

4 0

3 years ago