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abruzzese [7]
3 years ago
10

K - 5 = 12. Solve the equation

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

Answer:

17 = K

Step-by-step explanation:

Add 5 to both sides to get K = 17

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Find [4(cos15° + isin15°)]^3 and express it in a + bi form.
AleksandrR [38]

Answer:

see explanation

Step-by-step explanation:

Using De Moivre's theorem

Given

[ 4(cos15° + isin15° ) ]³, then

= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]

= 64 (cos45° + isin45° )

= 64 (\frac{\sqrt{2} }{2} + \frac{\sqrt{2} }{2} i )

= 64 (\frac{\sqrt{2} }{2} (1 + i) )

= 32\sqrt{2} (1 + i)

= 32\sqrt{2} + 32\sqrt{2} i

5 0
3 years ago
Gradient of line AB (3,7) and (5,11)​
larisa [96]

Answer:

Gradient is change in y over change in x.

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=7-11 ÷ 3-5

=-4 ÷ -2

=2

4 0
3 years ago
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Pls help! I need this for a test tomorrow
sergij07 [2.7K]

Answer:

I didn't know if you wanted to get the answer

5 0
3 years ago
Fox2110Which quadratic function is represented by the table?o f(x) -3x2 2x 5f(x) 2x2 -2x 5
Whitepunk [10]
B) f(x) = 3x^2 -2x + 5
5 0
3 years ago
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Which quadrant contains -11pi/18 and what is the reference angle?
vekshin1

Answer:

Option 1 is correct.

Step-by-step explanation:

Given angle \frac{11\pi}{18}. we have to find the quadrant and the reference angle.

Angle given is \frac{11\pi}{18} i.e \frac{11}{18}\times 180^{\circ}=110^{\circ}

Hence, the angle is 110° lies in second quadrant.

Now reference angle, the smallest angle that you can make from the terminal side of an angle with x-axis.

which is \pi-\frac{11\pi}{18}=\frac{7\pi}{18}

Hence, option 1 is correct.

6 0
3 years ago
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