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erica [24]
4 years ago
15

What is equivalent to -2i(6-7i)

Mathematics
1 answer:
borishaifa [10]4 years ago
5 0

Answer:

-14 - 12i

Step-by-step explanation:

Apply complex arithmetic rule: (ai)(b + ci) = -ac + abi

a = 2, b = 6, c = -7

-( -2(-7) + 2*6i )

-( 14 + 12i)

-14 - 12i

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Factorize: (a+1) (a+2)​
eimsori [14]

Answer:

a^2+3a+2

Step-by-step explanation:

(a+1)(a+2)

a(a+2)+1(a+2)

a^2+2a+a+2

a^2+3a+2

5 0
4 years ago
Algebra 2: PLEASE HELP ME!!
vfiekz [6]

Looks more like Trig than Algebra II

They want us to apply the sum angle formula to \sin(x + \frac{5 \pi}{6})

5π/6 is 150°; I find it easier to think in degrees.

When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.

The sine sum angle formula is

\sin(a+b) = \sin a \cos b + \cos a \sin b

\sin(x+\frac{5\pi}{6}) = \sin x  \cos \frac{5\pi}{6} + \cos x \sin \frac{5\pi}{6}

We know sin 150° = sin 30° = 1/2 and cos 150° = - cos 30° = -√3/2

\sin(x+\frac{5\pi}{6}) = \frac 3 5  (- \sqrt{3}/2)  + \frac 4 5 (1/2)

\sin(x+\frac{5\pi}{6}) = \dfrac{ 4- 3\sqrt{3}}{10}

Third choice

3 0
4 years ago
Is 0.¯8 a fraction??
Damm [24]
It's a decimal, but you can rewrite it as a fraction: -8/10 or -4/5 (simplified).
5 0
3 years ago
Read 2 more answers
Monica has a 24
melamori03 [73]

Answer:

The fraction of frame did Monica paint blue is \frac{3\sqrt{6}}{2}  

Step-by-step explanation:

Given as :

The area of square frame = A = 24 square inches

Monica paint \frac{3}{4} of one side of the frame blue

Let the measure of one side of frame = x

So, <u>From Area of square</u>

Area = side × side

Or, A = x × x

Or, x ² = 24

∴  x = \sqrt{24} = 2\sqrt{6}

So, Measure of each side = x = 2\sqrt{6}

Now, As Monica paint \frac{3}{4} of one side of the frame blue

So, The painted part = \frac{3}{4} ×  2\sqrt{6}

∴ The painted part = \frac{3}{2} × \sqrt{6}

I,e The fraction of painted blue = \frac{3\sqrt{6}}{2}

Hence, The fraction of frame did Monica paint blue is \frac{3\sqrt{6}}{2}  Answer

7 0
3 years ago
Read 2 more answers
Marla did 65 sit-ups each day for one week.Use the distributive property to find out the number of sit-ups Marla did
xxMikexx [17]
All this question is asking you to do is multiply 65 and 7. The 7 comes from the amount of days in a week. The product of these numbers is 455.

Maria did 455 sit-ups in a week.
7 0
3 years ago
Read 2 more answers
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