IdeasCuriosas - Every Question Deserves an Answer Logo

In Mathematics / College | 2025-07-03

Select the best answer for the question. Given the formula [tex]$K=L M N$[/tex], what is the formula for [tex]$M$[/tex]?
A. [tex]$M=K L / N$[/tex]
B. [tex]$M=L N / K$[/tex]
C. [tex]$M=L N K$[/tex]
D. [tex]$M=K / L N$[/tex]

Asked by Tearninnn445

Answer (2)

Start with the given formula: K = L MN .
Divide both sides by L N to isolate M : L N K ​ = M .
Simplify to find the formula for M : M = L N K ​ .
The correct answer is M = L N K ​ , which corresponds to option D. M = L N K ​ ​

Explanation

Understanding the Problem We are given the formula K = L MN and asked to find the formula for M . This involves isolating M on one side of the equation.

Isolating M To isolate M , we need to divide both sides of the equation by L N . This gives us: L N K ​ = L N L MN ​ L N K ​ = M Thus, M = L N K ​ .

Selecting the Correct Option Comparing our result with the given options, we see that option D, M = K / L N , matches our derived formula.


Examples
In physics, if you know the total energy (K) of an object and have formulas for its length (L) and mass (N) that relate to its energy, you can rearrange the formula K=LMN to find the object's momentum (M). This rearrangement helps in understanding how different physical quantities are related and how they influence each other in various systems.

Answered by GinnyAnswer | 2025-07-03

To isolate M from the equation K = L MN , we divide both sides by L N to obtain M = L N K ​ . The correct answer is option D: M = L N K ​ .
;

Answered by Anonymous | 2025-07-04

Related Questions in Mathematics

[Answered] Select the correct answer. Which equation is equivalent to the given equation? [tex]$x^2-6 x=8$[/tex] A. [tex]$(x-6)^2=44$[/tex] B. [tex]$(x-3)^2=17$[/tex] C. [tex]$(x-6)^2=20$[/tex] D. [tex]$(x-3)^2=14$[/tex]

[Answered] Which phrase best describes the translation from the graph [tex]y=6 x^2[/tex] to the graph of [tex]y=6(x+1)^2[/tex]? A. 6 units left B. 6 units right C. 1 unit left D. 1 unit right

[Answered] What expression is equivalent to [tex]$\left(5 z^2+3 z+2\right)^2$[/tex] ? A. [tex]$5 z^4+3 z^2+4$[/tex] B. [tex]$5 z^4+9 z^2+4$[/tex] C. [tex]$25 z^4+30 z^3+19 z^2+12 z+4$[/tex] D. [tex]$25 z^4+30 z^3+29 z^2+12 z+4$[/tex]

[Answered] The graph of [tex]y=\frac{5}{4} x+1[/tex] is shown below. The coordinate ([tex]0, y[/tex]) is a solution of the equation. Given the [tex]x[/tex]-value of 0, what is the value of the [tex]y[/tex]-coordinate for the coordinate ([tex]0, y[/tex])? [tex]y=[/tex] [blank]

[Answered] If [tex]f(-2)=0[/tex], what are all the factors of the function [tex]f(x)=x^3-2 x^2-68 x-120[/tex]? Use the Remainder Theorem. A. [tex](x+2)(x+60)[/tex] B. [tex](x-2)(x-60)[/tex] C. [tex](x-10)(x+2)(x+6)[/tex] D. [tex](x+10)(x-2)(x-6)[/tex]