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pickupchik [31]
2 years ago
8

Shade the cenn diagram to represent the set

Mathematics
1 answer:
Elena-2011 [213]2 years ago
5 0
Look at the pictures.

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Rewrite 2sin2x + 3 cos x − 3 in terms of cos x
Feliz [49]

9514 1404 393

Answer:

  -2cos²(x) +3cos(x) -1

Step-by-step explanation:

Use the "Pythagorean identity" to replace sin²(x).

  sin²(x) +cos²(x) = 1

Then ...

  2sin²(x) +3cos(x) -3 = 2(1 -cos²(x)) +3cos(x) -3

  = -2cos²(x) +3cos(x) -1

4 0
2 years ago
The roots of the quadratic equation $z^2 + az + b = 0$ are $2 - 3i$ and $2 + 3i$. What is $a+b$?
AlladinOne [14]
We know for our problem that the zeroes of our quadratic equation are (2-3i) and (2+3i), which means that the solutions for our equation are x=2-3i and x=2+3i. We are going to use those solutions to express our quadratic equation in the form a x^{2} +bx+c; to do that we will use the <span>zero factor property in reverse:
</span>x=2-3i
x-2=-3i
x-2+3i=0
<span>
</span>x=2+3i
x-2=3i
x-2-3i=0
<span>
Now, we can multiply the left sides of our equations:
</span>(x-2+3i)(x-2-3i)= x^{2} -2x-3ix-2x+4+6i+3ix-6i-3^2i^2
<span>= </span>x^{2}-4x+4-9i^{2}
= x^{2} -4x+4+9
= x^{2} -4x+13
Now that we have our quadratic in the form a x^{2} +bx+c, we can infer that a=1 and b=-4; therefore, we can conclude that a+b=1+(-4)=1-4=-3.
6 0
3 years ago
Olivia earns $8.50 per hour for babysitting her brother. She also earns a weekly bonus of $12 if she helps with
Amiraneli [1.4K]

Answer

a

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
You have P = 472 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the r
Ray Of Light [21]
The width would be 236 and the lengths would be 118

Use the equations 2L+W=472 and W*L=MAX
Change the first equation to W=472-2L and plug this into the other equation
(472-2L)(L)=MAX
472L-2L^2=M (take derivative)
472-4L=0 (set to 0 to find the max value)
4L=472 
L=118 
Plug into original to get W=236

Hope this helps!
4 0
3 years ago
Uscles Gym has a membership fee of $40 every 3 months. Energy Gym has a membership fee of $93 every 6 months.
snow_lady [41]

Answer:

Muscles Gym: 13.33

Energy Gym: 15.00

Step-by-step explanation:

Muscles Gym: You divide "40.00" by "3", which will then give you the answer of "13.33".

Energy Gym: You divide "93.00" by "6", which will then give you the answer of "15.50".

You then add the zero to show the proper number of cents after the decimal point.

I hope this helps!

6 0
3 years ago
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