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4 years ago

Please show me how to do the circled problem and include all steps

Mathematics

1 answer:

yulyashka [42]4 years ago

6 0

Derivatives. Fun, honestly. Anyways ...
Here's I would do it.

Take the radical out
1/(x+2)^(1/2)

Put it on top
(x+2)^(1/2)

Apply power rule
(1/2)(x+2)^((1/2)-1)
((x+2)^(-1/2))/2

Put it on the bottom
1/(2(x+2)^(1/2))

Put it back in radical form
1/(2√(x+2))

Hope I explained it well for you!

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What is the length of b

oksian1 [2.3K]

Answer:

b = 24

Step-by-step explanation:

Concepts

The Pythagorean Theorem states that the sum of the squares of the two other sides on a right triangle is equal to hypotenuse (longest side) squared. It can be represented by the equation $a^2+b^2=c^2$ . We can also use this formula to solve for the other two legs in the right triangle.

Application

In this case, we're asked to find the length of b in the right triangle, given c as 26 and a as 10. Now, we just apply the formula and solve for b.

Solution

Step 1: Set up equation and simplify.

$10^2+b^2=26^2$
$100+b^2=676$

Step 2: Subtract 100 from both sides.

$100+b^2-100=676-100$
$b^2=576$

Step 3: Take square root of both sides.

$\sqrt{b^2} =\sqrt{576}$
$b=24$

Therefore, b = 24.

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2 years ago

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Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ

poizon [28]

Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.

To solve this, we divide both sides by 1.29: 
 $\frac{1.29x}{1.29}$ ≤ $\frac{20}{1.29}$ ;
x ≤15.5.

We cannot download half of a song, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.

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4 years ago

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Quadratic equations 7x^2=49

fenix001 [56]

Hope I was able to help :-)

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A map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 18 square inches. what is the actual area

Dmitrij [34]

Answer: The area of the lake is actually 182 square miles 1 inch represents one side 3 miles long the other side is also 3 miles. 3×3=9 square miles. 1 Square Inch on the map represents 9 Square Miles.

Step-by-step explanation: If the area on the map is 18 square inches, and each square inch represents 9 square miles, multiply 18×9=182 to get the area of that big lake.

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Py+qy=-4y+8 what is the solution for y

Helen [10]

Answer:

y=8/(P+q+4)

Step-by-step explanation:

we can find out that three items have y

so we can get them together Py+qy+4y=8

next(P+q+4)y=8 so y=8/(p+q+4)

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