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murzikaleks [220]
3 years ago
13

Simplify the following expressions by using distributive property. 3x^2(4x-3)

Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

Answer:

12x^3-9x^2

Step-by-step explanation:

3x^2(4x-3)= \\\\3x^2(4x)+3x^2(-3)= \\\\12x^3-9x^2

Hope this helps!

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Kevin collects rain water in a container shaped like a rectangular prism. After a thunderstorm, he notices the container is two-
scoray [572]

Answer:

Step-by-step explanation:

8 0
3 years ago
For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}

Now, let's add the components of the same direction:

\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}

To find the resultant bearing (theta), we can use the formula below:

\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0
1 year ago
The diagram shows a polygon. Find the area, in cm², of the whole diagram. ​
Leto [7]

Answer:

Bottom part = 10 * 12 = 120 square centimeters

Top part 8 * 6 = 48 square centimeters

Total Area = 168 square centimeters

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is 3 raised to the power of 1?
Gre4nikov [31]

Answer:

Three to the power of one is still 3

Step-by-step explanation:

Anything to the power of itself is the original number. :D

5 0
3 years ago
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PLEASE HELPP I WILL MARK YOU GOOD
djverab [1.8K]

Answer:

Volume: 41.643

Surface area: 119.04 (nearest tenth... I don't know...sorry)

Step-by-step explanation:

I didn't know if you need volume or surface area so you got both!

4 0
3 years ago
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