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maria [59]
2 years ago
5

Calculate 6+9i/-1+4i

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
8 0

Multiply the numerator and denominator by the conjugate of the denominator:

\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}

Simplify:

\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}

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the answer is 40

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2 years ago
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Sarah says that 26 divided by 8 equals 14 divided 4 because both are "3 R2. show her mistake using decimal division
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Show all of your work.
kirill [66]
864 shirts :) 36x 24
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2 years ago
6.45 and 10.2 how does the estimate compare to the exact product
MrMuchimi
While estimating you would round the decimals and you would think in terms of how would the answer look like when you multiply 64 with 10...  640ish..and then you think about the decimals a little,,, soyou will put decimal after 64... and that will give you 64.0 or something ...While the exact answer id 65.79... Close enough.
Hope I helped..
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5 0
3 years ago
A carousel horse travels on a circular path with a radius of 15 ft. How many feet does the horse travel over an angle of 2π3 rad
snow_lady [41]

Answer:

arc\,\,length=10\,\pi\,ft\\arc\,\,length=31.41\,ft

Step-by-step explanation:

Recall that the formula for the length of an arc of circumference is given by the formula:

arc\,\,length=\theta\,R

where \theta is the radian form of central angle subtended , and R is the radius of the circumference. What is important is to have the angle given in radians for this formula to be valid.

In our case, the angle ( \frac{2\pi}{3} ) is already in radians, so we can apply the formula directly:

arc\,\,length=\theta\,R\\arc\,\,length=\frac{2\,\pi}{3} \,(15\,ft)\\arc\,\,length=10\,\pi\,ft\\arc\,\,length=31.41\,ft

6 0
3 years ago
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