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Likurg_2 [28]
4 years ago
14

Multiply and simplify: -3x^2y^2 times x^4

Mathematics
1 answer:
pishuonlain [190]4 years ago
8 0
It's the first answer choice.
Steps:
-3x^2y^2x^4
(Apply the exponent rule)
x^4x^2 = x^2+4 = x^6

= -3x^6y^2

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Find the difference (4 - 7m) - (-n + 2m - 1)
AVprozaik [17]
Im pretty sure that the answer to that is 5-9m+n
6 0
3 years ago
PROVE THAT:<br><br>cos 20° - sin 20° = ​​ \sqrt{2}sin25°<br><br>​
Lemur [1.5K]

Answer:

See below.

Step-by-step explanation:

\cos(20)-\sin(20)=\sqrt{2}\sin(25)

First, use the co-function identity:

\sin(90-x)=\cos(x)

We can turn the second term into cosine:

\sin(20)=\sin(90-70)=\cos(70)

Substitute:

\cos(20)-\cos(70)=\sqrt{2}\sin(25)

Now, use the sum to product formulas. We will use the following:

\cos(x)-\cos(y)=-2\sin(\frac{x+y}{2})\sin(\frac{x-y}{2})

Substitute:

\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70)  =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)

Use the even-odd identity:

\sin(-x)=-\sin(x)

Therefore:

\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)

Replace the second term with the original term:

\cos(20)-\sin(20)=\sqrt{2}\sin(25)

Proof complete.

4 0
4 years ago
Round to the nearest hundredth if so. Use 3.14 as pi <br>8. r=<br> d =<br> C=78.8 ft​
Kryger [21]

Answer: The radius is 12.54 feet, and the diameter is 25.08 feet.

Explanation: By applying the circumference into the equation r = \frac{C}{2\pi }, we get r = \frac{78.8}{2\pi }which simplifies the radius. And since radius is half of diameter, we multiply by 2 to get the diameter as well to solve the other blank in the problem.

Hope this helps! :D

7 0
3 years ago
How to find the sum of each interior angle of a 20gon?
saw5 [17]

formula for interior angles of a polygon is 180 times the number of sides minus 2

 20 a 20gon has 20 sides, 20 -2 = 18, 180*18 = 3240

 sum of interior angles = 3240 degrees



please mark brainliest


8 0
4 years ago
15 POINTS PLEASE ANSWER
Tema [17]

Answer:

91

Step-by-step explanation:

Just do 130-30% and you get 91.

6 0
3 years ago
Read 2 more answers
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