Marcos found a challenge involving square roots knowing that he solved correctly the answer given by marcos √81 + √49 -√100

Mathematics

1 answer:

n200080 [17]3 years ago

7 0

9 + 7 - 10 = 6 I don’t see the choice above but this is the correct answer.

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Derivative of these questions<br>

shtirl [24]

Answer: $\bold{y'=\dfrac{1}{2(a-b)^2}\bigg(\dfrac{1}{\sqrt{x+a}}+\dfrac{1}{\sqrt{x+b}}\bigg)}$

<u>Step-by-step explanation:</u>

$y=\dfrac{1}{\sqrt{x+a}-\sqrt{x+b}}\\\\\\\text{Rationalize the denominator:}\\y=\dfrac{1}{\sqrt{x+a}-\sqrt{x+b}}\bigg(\dfrac{\sqrt{x+a}+\sqrt{x+b}}{\sqrt{x+a}+\sqrt{x+b}}\bigg)\\\\\\y=\dfrac{\sqrt{x+a}+\sqrt{x+b}}{x+a-x-b}\\\\\\y=\dfrac{\sqrt{x+a}+\sqrt{x+b}}{a-b}\\\\\\\text{Apply the derivative (derivative of the numerator (top) divided by the}\\\text{denominator (bottom) squared).}$

$\text{Derivative of }\sqrt{x+a}\quad \rightarrow \quad (x+a)^{\frac{1}{2}}\quad = \quad \dfrac{1}{2}(x + a)^{-\frac{1}{2}}\\\\\text{Derivative of }\sqrt{x+b}\quad \rightarrow \quad (x+b)^{\frac{1}{2}}\quad = \quad \dfrac{1}{2}(x + b)^{-\frac{1}{2}}\\\\\\\text{Derivative of}\ \dfrac{\sqrt{x+a}+\sqrt{x+b}}{a-b}:\\\\= \dfrac{\dfrac{1}{2}(x + a)^{-\frac{1}{2}}+\dfrac{1}{2}(x + b)^{-\frac{1}{2}}}{(a-b)^2}$

$\text{Factor out }\dfrac{1}{2}\ \text{from the numerator:}\\\\\dfrac{(x+a)^{-\frac{1}{2}}+(x+b)^{-\frac{1}{2}}}{2(a-b)^2}\\\\\\\text{Move the terms with negative exponents to the denominator:}\\\\=\dfrac{1}{2(a-b)^2}\bigg(\dfrac{1}{\sqrt{x+a}}+\dfrac{1}{\sqrt{x+b}}\bigg)$

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4 years ago

Tamara wants to rent a jet-ski. Tamara's deal is to pay $60 to rent the jet-ski, plus $12.50 per hour. If

Pani-rosa [81]

Answer:

6 hours.

Step-by-step explanation:

deal: 135-(60+12.5h)=y

let h= # of hrs

135-60=75.

75/12.5=6 hours.

6 0

3 years ago

$73 is what percent of $125

Orlov [11]

Answer: The question $73 out of 125 is 58.40%

Step-by-step explanation:

$73 out of 125 is what percent Answer: The question $73 out of 125 is 58.40%, which is the same as 73/125 as a percent. This can be solved using this calculator above

5 0

3 years ago

Read 2 more answers

in this situation negative $55 represents a debit of blank on Thursday mom had a debit of blank than $55

LiRa [457]

She had $110 more than -55 hope this helps

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4 years ago

A rhombus shaped fountain has diagonals that measure 8.4 meters and 10.2 meters. What is the area of the rhombus?

pantera1 [17]

The answer is 85.68 squared

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4 years ago