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3 years ago

K + j = 54 j = k - 30 How many shells does Joshua have? j=?

Mathematics

1 answer:

Rudik [331]3 years ago

8 0

Answer:

Step-by-step explanation:

To solve, substitute the value for k into one of the equations.

We know that k + j= 54.

To get k alone, subtract j. k = -j + 54.

Plug the value of k into the second equation. j = -j + 54 - 30.

Simplify.

j = -j + 24

2j = 24

j = 12

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

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2 years ago

= Drag up the correct symbol to make each statement true.

Dvinal [7]

Answer:

1. >

2.>

3.<

4. <

Step-by-step explanation:

I am doing it from top to bottom

I hope this helps! :)

4 0

3 years ago

Help i'll mark brainliest thank you

viva [34]

Answer:

Q1: B

Q2: D

Q3: B

Q3: C

explanation:

3 0

3 years ago

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Please help me out with this :)

tia_tia [17]

I say symmetric. Both variables are the same, and the equation is showing their equality. This is my best guess.

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3 years ago

I need help with this question

12345 [234]

Answer:

regular polygon:

E & C

irregular polygon:

A & B

Not polygon:

D & F

Explanation:

regular polygon:

has equal sides however the number of side and regular shape and it has equal angles between its sides. "ex" (equilateral triangle)

as in figure C & E.

Irregular polygon:

the opposite of regular polygon but both has a straight line all over the shape. as in figure B & A.

not a polygon:

it's may be a circle or a part of it.as in figure D & F.

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3 years ago