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4 years ago

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Select the relations that are functions

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suter [353]4 years ago

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show me your options

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Change the subject of the formula L = v 4kt - p to k.

Romashka [77]

Answer:

$\boxed{k = \frac{L^2 + p}{4t}}$

General Formulas and Concepts:

<u>Algebra I</u>

Basic Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em /> $\displaystyle L = \sqrt{4kt - p}$

<u>Step 2: Solve for </u><u><em>k</em></u>
We can use equality properties to help us rewrite the equation to get <em>k</em> as our subject:

Let's first <em>square both sides</em>:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\\end{aligned}$

Next, <em>add p to both sides</em>:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\\end{aligned}$

Next, <em>divide 4t by both sides</em>:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\& \rightarrow \frac{L^2 + p}{4t} = k \\\end{aligned}$

We can rewrite the new equation by swapping sides to obtain our final expression:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow \boxed{k = \frac{L^2 + p}{4t}}\end{aligned}$

∴ we have <em>changed</em> the subject of the formula.

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Learn more about Algebra I: brainly.com/question/27698547

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Topic: Algebra I

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2 years ago

how many 4 1/4 inch by 4 1/4 inch tiles are needed to cover three walls of a shower if two walls are 3 feet 1 inch wide and one

Goryan [66]

Answer:

adws ASDadadsfsf

Step-by-step explanation:

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3 years ago

Evaluate <br>tan 332°30'<br>Cos 229°47'<br>and sec(-38°22') <br>HELPPP

Scilla [17]

Bein aetwo s 26819 andy’s a skid slush’s shell tan 332

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3 years ago

What does b stand for in the equation y=mx+b

hjlf

Answer:

b is the y- intercept

Step-by-step explanation:

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3 years ago

Read 2 more answers

Yong is measuring two pyramids whose bases are rectangles.

ElenaW [278]

Answer:

Answer is 7/2 cm

Step-by-step explanation:

1. Set a ratio

$7=\frac{3V}{l*w}:h=\frac{3V}{l*2w}$

2. Move 2w from denominator to LHS (Left hand side) $\frac{7}{2}w=\frac{3V}{l}$

$\frac{7}{2w}=\frac{3V}{l}$

3. The four options are 7/4, 7/2, 14 or 28 cm

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3 years ago