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eduard
3 years ago
15

PLEASE HELP, TEACHERS GIVE US HOMEWORK AND DON'T EVEN TEACH US PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Mathematics
1 answer:
34kurt3 years ago
7 0
Both answers are 75
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A number added to its reciprocal is 2 9/10. Find the number and show your work.
Svetlanka [38]

Answer:

\displaystyle x=\frac{5}{2}, x=\frac{2}{5}

Step-by-step explanation:

<u>Quadratic Equations </u>

The quadratic equation has the following general form

ax^2+bx+c=0

It can be solved by several methods, including the well-known quadratic formula

\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

The question requires us to find a number that added with its reciprocal results 2 9/10. If x is the required number

\displaystyle x+\frac{1}{x}=2\ \frac{9}{10}=\frac{29}{10}

Operating

\displaystyle \frac{x^2+1}{x}=\frac{29}{10}

Rearranging

10(x^2+1)=29x

10x^2-29x+10=0

Comparing with the general quadratic equation, we have

a=10,\ b=-29,\ c=10

Using the formula

\displaystyle x=\frac{29\pm \sqrt{(-29)^2-4(10)(10)}}{2(10)}

\displaystyle x=\frac{29\pm \sqrt{441}}{20}=\frac{29\pm 21}{20}

It gives us two possible solutions

\displaystyle \boxed{x=\frac{5}{2}, x=\frac{2}{5}}

Both are valid solutions since

\displaystyle \frac{5}{2}+\frac{2}{5}=\frac{29}{10}

6 0
3 years ago
Yo, whats 36 in exponent form?
bezimeni [28]

Answer:

6^2

Step-by-step explanation:

hope this helps skodjdicjdjcodb

6 0
3 years ago
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Follow these steps using the algebra tiles to solve the equation −5x + (−2) = −2x + 4.
Alex787 [66]
Here’s the steps and answer.

5 0
4 years ago
Given: cot = -0.59 in QII, find sin
Gre4nikov [31]

The value of sin x in Q II is 0.86 .

<h3>What are Trigonometry ?</h3>

This the field in Maths which deals with a right angled triangle and the other angles in the triangle.

It is given that cot = -0.59

cot x = cos x / sin x

Using online trigonometric calculator

sin x in Q II is 0.86 .

To know more about Trigonometry

brainly.com/question/26719838

#SPJ1

6 0
2 years ago
You pay 11% tax on a purchase. The amount of tax you pay ends up being $16.50. What was your TOTAL payment.
jeka57 [31]

Answer:

150

Step-by-step explanation:

16.5/0.11

3 0
3 years ago
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