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Effectus [21]
3 years ago
12

The cube of the difference of 4 times x and 9

Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer:

<h2>64x³ - 432x² + 972x - 729</h2>

Step-by-step explanation:

Write the statement into an expression

<h2>(4x - 9)³</h2><h2 /><h3>Now multiply that out...</h3><h3 /><h3>(4x - 9)²(4x - 9)</h3><h3 /><h3> Foil the first binomial</h3><h3 /><h3>  (16x² - 72x + 81)(4x - 9)</h3><h3 /><h3>Multiply the two polynomials together</h3><h3 /><h3>     16x²(4x) - 72x(4x) + 81(4x) + 16x²(-9) - 72x(-9) + 81(-9)</h3><h3 /><h3> 64x³ - 288x² + 324x - 144x² + 648x - 729</h3><h3 /><h3>combine like terms...</h3><h3 /><h3>64x³ - 432x² + 972x - 729</h3>
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How do you do addition and subtraction in Scientific Notatation?
nekit [7.7K]
Once the numbers<span> have the same base and exponents, we can </span>add<span> or </span>subtract their<span> coefficients. </span><span> Determine the </span>number<span> by which to increase the smaller exponent by so it is equal to the bigger exponent.  

I hope this helps!

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6 0
3 years ago
Find the volume to the nearest cm3<br> 20 cm<br> 35 cm<br> 12 cm
riadik2000 [5.3K]
Answer: 10380cm^3

Explanation:

Find the volume of half cylinder:

V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
V = 22/7 x 36/2 x 35
V = 22/7 x 35 x 18
V = 22 x 5 x 18
V = 1980cm^3

Find the volume of the rectangle:

V = 20 x 35 x 12
V = 240 x 5 x 7
V = 1200 x 7
V = 8400cm^3

Find the volume of the whole shape:

V = 1980 + 8400
V = 10380cm^3

3 0
3 years ago
Are the graphs of the lines in the pair parallel? Explain. Find the slope of a line parallel to 5x+2y=6
Sonja [21]

Answer:

Yes the graphs of the lines are in pair parallel.

Step-by-step explanation:

They are in pair parallel because they do not touch each other. To find the slope of the line that is parallel to 5x+2y=6...

The first thing to do is subtract 5x since its a positive so it would look like this:

5x+2y=6

<u> -5x      =-5x</u>

Next you would divide by 2 on each side so the y can be isolated:

5x+2y=6

<u>-5x     =-5x</u>

      <u>2y</u> = <u>-5x + 6</u>

      2          2

Lastly the 2 divided by 2 gets crossed out because they cancel each other out and divide -5x by 2 and 6 by 2 then you would be stuck with this:

y= -2.5x+3

So your parallel slope would be -2.5x.

8 0
3 years ago
"In the 45°-45°-90° triangle above, r = 10. Find the other two lengths.
Basile [38]

We are given a right triangle that has angles of 45°-45°-90°. This would indicate that the triangle is an isosceles type. We can use some trigonemetric functions to solve for the other legs. We do as follows:

 

sin 45 = p / 10

p = 5√2

 

cos 45 = q /10

q = 5√2

 

<span>Hope this answers the question. Have a nice day.</span>

5 0
3 years ago
5 + (-3) is units from 5 in which direction
Ymorist [56]

Answer:

Step-by-step explanation:

Starting at 5 on the number line, 5 + (-3) is 3 units to the left of 5; that is, you are at 2 on the number line.

4 0
2 years ago
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