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2 years ago

How to solve for the variable which is r

Mathematics

2 answers:

devlian [24]2 years ago

5 0

I think, not 100% sure, but I think it is square root (A/4pi)=r

elena55 [62]2 years ago

5 0

The x is the r because x is the variable and r is a variable

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What is the solution to the system of equations?

Dovator [93]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}x+3y+2z=8&(1)\\3x+y+3z=-10&(2)\\-2x-2y-z=10&(3)\end{array}\right\qquad\text{subtract both sides of the equations (1) from (2)}\\\\\underline{-\left\{\begin{array}{ccc}3x+y+3z=-10\\x+3y+2z=8\end{array}\right }\\.\qquad2x-2y+z=-18\qquad(4)\qquad\text{add both sides of the equations (3) and (4)}\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y-z=10\\2x-2y+z=-18\end{array}\right}\\.\qquad-4y=-8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad y=2\qquad\text{put the value of y to (1) and (3)}$

$\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}$

$x+2(6)=2\\x+12=2\qquad\text{subtract 10 from both sides}\\x=-10$

4 0

2 years ago

A right rectangular prism with dimensions of 2 cm 5 cm and 10 cm is shown.

lions [1.4K]

Answer:

What is the similar in the United States to the Canadian Charter of Rights and Freedoms?

Step-by-step explanation:

Volume= Length x Width x Height

though it does not have a diagram in this situation it does not matter the order you put the numbers in. any way you multiply them you will get the same answer/volume.

10cm x 5cm x 2cm=100cm^3

Hope this helps!

3 0

2 years ago

The sum of 3 times the value of x and 2 is equal to four less than five times the value of x. Which equation can be used to find

bonufazy [111]

The question has omitted options but i will solve, so you will just check my answer from the options you have.

Answer: The equation to find the value of x = 3x+ 2= 5x-4

The value of x= 3

Step-by-step explanation:

Step 1

The sum of 3 times the value of x and 2 is equal to four less than five times the value of x can be expressed as

3x+ 2= 5x-4

Step 2

Solving this equation to find the value of x , we have that

3x+ 2= 5x-4

3x-5x= -4-2

-2x= -6

x= -6/-2

x=3

5 0

2 years ago

What is 5x-9+2-4=9.4

Dominik [7]

Answer:

x=5.1

Step-by-step explanation:

5x-9+2-4=9.4

5x=9.4+4-2+9

5x=20.4

x=5.1

4 0

2 years ago

A line intersects the point (3,-4) and has a slope of 17. What is the slope-intercept equation for this line? y = 17x + [?]

Ilya [14]

We can plug in the values of this point to find b
-4 = 17 (3) +b
We will multiply 17 times 3
-4 = 51 + b
We then subtract by 51 on both sides
-55 = b
So the full equation will be
y = 17x - 55

5 0

2 years ago

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