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3 years ago

The square floor of a tent has an area of 49sq. feet. What is the length of the side of the tent?

1 answer:

8 0

The area of a square is equal to s^2 where s is the length of one side.

49=s^2.

Root both sides to isolate the variable.

7=s

Final answer: 7 ft

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MrRa [10]

480is thdhdhdhdndudjnendb

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3 years ago

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

adoni [48]

Answer: The required derivative is $\dfrac{8x^2+18x+9}{x(2x+3)^2}$

Step-by-step explanation:

Since we have given that

$y=\ln[x(2x+3)^2]$

Differentiating log function w.r.t. x, we get that

$\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [x'(2x+3)^2+(2x+3)^2'x]\\\\\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [(2x+3)^2+2x(2x+3)]\\\\\dfrac{dy}{dx}=\dfrac{4x^2+9+12x+4x^2+6x}{x(2x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{8x^2+18x+9}{x(2x+3)^2}$

Hence, the required derivative is $\dfrac{8x^2+18x+9}{x(2x+3)^2}$

3 0

3 years ago

Find the point of intersection<br> y=-3x-3<br> y=-3

Alla [95]

The answer would be -3

5 0

2 years ago

Which of the following inequalities have -8 in its solution set?

BaLLatris [955]

Answer:

3x >/= 24 or 3x </= -24

Step-by-step explanation:

Plug in (-8) for (x) and solve.

8 0

3 years ago

If A = (-2, -4) and B = (-8, 4), what is the length of AB?

svetoff [14.1K]

Answer: OPTION D

Step-by-step explanation:

To solve this exercise you must use the formula for calculate the distance between two points, which is shown below:

$d_{(A,B)}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Now, you must substitute the points given in the problem into the formula:

A(-2,-4)

B(-8,4)

$d_{(A,B)}=\sqrt{(-8-(-2))^2+(4-(-4))^2}$

Then, the result is:

$d_{(A,B)}=10units$

5 0

3 years ago

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