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2 years ago

Analyze the data sets below. Which of the following statements are true? Select all that apply.

Mathematics

1 answer:

PtichkaEL [24]2 years ago

8 0

Answer:

C and D

Step-by-step explanation:

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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:

Algebra I

Basic Equality Properties

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

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle L = \sqrt{4kt - p}$

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

Let's first square both sides:

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

Next, add p to both sides:

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

Next, divide 4t by both sides:

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

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 changed 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

6 0

1 year ago

The solution to -2x/3+7<15 is the set

svlad2 [7]

Answer:

1) x > -12

Step-by-step explanation:

first, subtract 7 from each side of the inequality to get:

-2/3x < 8

multiply each side by the reciprocal of -2/3 which is -3/2 to get:

x > -24/2

notice the symbol has been reversed because that is the rule whenever you multiply or divide an equality be a negative value

simplified, answer is x > -12

5 0

2 years ago

According to these three facts, which statements are true?

777dan777 [17]

Answer:

cest trop facile mes mois jai besoin d'aide alor quesque quil faut faire di mois

4 0

3 years ago

14 points to help me out with Geometry

Ede4ka [16]

Since f and g are parallel to eachother, the sum of the angle 7x and 2x+36 would equal 180. To solve for x, you add 7x+2x+36, set it equal to 180, and then solve for x.

x= 16

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2 years ago

Read 2 more answers

2.6 yards to inches!? Explain it

motikmotik

Answer: 93.6 inches

there are 36 inches is a yard so 2.6 x 36 = 93.6

Step-by-step explanation:

4 0

3 years ago