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2 years ago

10

The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers

. If there is more than one pair, use the "or" button.

1 answer:

vekshin12 years ago

8 0

Answer:

Step-by-step explanation:

41

You might be interested in

Simplify 5sqrt 12xm^3 <br> Assume x and m are nonnegative

fredd [130]

Answer:

The right answer to your question is the third option

Step-by-step explanation:

5 √12xm³

First find the prime factors of 12

12 2

6 2

3 3

1 Then 12 = 2² 3

and m³ = m m²

So 5 √ 2² 3 x m m²

and 5 (2)(m) √ 3xm

10 m √ 3xm

5 0

2 years ago

how many numbers did bill wrote if he wrote all the natural numbers between w and v not including w and v

dexar [7]

Answer:

v - w - 1

Step-by-step explanation:

Try an experiment with a small, specific set of numbers like:

4, 5, 6, 7, 8, 9, 10 w = 4 and v = 10.

There are 5 numbers in the list, not counting the first and last. Is this related to the difference between v and w? v - w = 6, one more than 5.

The number of natural numbers between w and v, not including w and v, is v - w - 1.

4 0

2 years ago

The length of a rectangle is 4 ft longer than its width.

son4ous [18]

Answer:

96

Step-by-step explanation:

40=4x+8

32=4x

x=8

other side x+4 is 12

area is 12×8

96

6 0

2 years ago

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

6 0

1 year ago

Augustin is in line to chose a new locker at school. The locker coordinator had each student reach into a bin and pull out a loc

sukhopar [10]

#831 is one out of the 535 left

1/535
= 0.002
= 0.2%

The probability is 0.2%, which is very low. It's even less than 1%. This means it's still very unlikely to get #831 and more like to get one of the other 534 numbers.
0.2% compared to 99.8%
If you look at these 2 numbers on a number line, you can see 99.8% (the other numbers) is more closer to 100%. This proves Augustin is more likely to chose one of the other numbers and doesn't have to be nervous.

8 0

3 years ago