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ahrayia [7]
3 years ago
7

The average distance from Mars to the sun is about one hundred forty-one million, six hundred twenty thousand miles. How is this

distance written in standard form?
Mathematics
2 answers:
OleMash [197]3 years ago
5 0
41,620,000 is the answer
shusha [124]3 years ago
3 0
The answer is, 141,620,000
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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

  1. Multiplication Property of Equality
  2. Division Property of Equality
  3. Addition Property of Equality
  4. 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.

---

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

---

Topic: Algebra I

6 0
2 years ago
4/3(6y+21)-17&gt;43 help pls
dezoksy [38]

Answer:

Step-by-step explanation:

4/3(6y+21)-17=43

move all terms to the left:

4/3(6y+21)-17-(43)=0

Domain of the equation: 3(6y+21)!=0

y∈R

We add all the numbers together, and all the variables

4/3(6y+21)-60=0

You multiply all the terms by the denominator

-60*3(6y+21)+4=0

multiply elements

8 0
3 years ago
Obtain the general solution:<br><br> (x-y)(4x+y)dx + x(5x-y)dy = 0
storchak [24]

Answer:

y=2x

y=-x

d=0

Step-by-step explanation:

sorry iam not sure i just tray to help

7 0
2 years ago
Find an equation for the nth term of the arithmetic sequence. -13, -8, -3, 2, ...
Nikitich [7]
Https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.798537.html
3 0
3 years ago
Read 2 more answers
Use Long Division to find the answer. Please show all steps!
ValentinkaMS [17]

Answer:

The answer to your question is 2x² + 3x +  Remainder (17x - 7)/ ( 2x⁴  +  3x³  - 4x²  + 5x - 7)

Step-by-step explanation:

                             2x² + 3x

             x² - 4     2x⁴  +  3x³  - 4x²  + 5x - 7

                          -2x⁴              + 4x²

                            0      + 3x³   + 0    + 5x

                                     - 3x³             +12x

                                        0                +17x - 7

Quotient = 2x² + 3x

Remainder = 17x - 7

Solution  = 2x² + 3x + (17x - 7)/ ( 2x⁴  +  3x³  - 4x²  + 5x - 7)

Process

1.- Divide the first term of the divident by the first term of the divisor and place the result above the first term of the divident.

2.- Multiply the result of the division (2x²) by the first term of the divisor and change the sign of the result.

3.- Multiply the result (2x²) by the second term of the divisor and place the result below the like term.

4.- Add the results.

5.- Continue with this process until the remainder be lower than the divisor.

5 0
3 years ago
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