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Zarrin [17]
3 years ago
11

Simplify -3x^2-5x^2(4x^3-x^2)2

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

Let's simplify step-by-step.

−3x2−5x2(4x3−x2)(2)

Distribute:

=−3x2+−40x5+10x4

Answer:

=−40x5+10x4−3x2

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The Answer is 5/9 in the simplest form.

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A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate
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Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

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B: is the distance between the wall and the ladder (base) = 6 ft

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L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}}

Now, the area (A) of the triangle is:            

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Hence, the rate of change of the area is given by:

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\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}]        

\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}]  

\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9]      

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Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!                                    

5 0
3 years ago
58,927 in scientific notation
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it easy it must be a number between 1-10 (this time 5.8927) and then the 10^4 its because the decimal point moves 4 spaces
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