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3 years ago

Which two complex numbers when added together and written in standard form equal 10-3i?

Mathematics

1 answer:

dedylja [7]3 years ago

4 0

Answer:

A -3 − 4i C 13 + i

Step-by-step explanation:

We add the real part and the imaginary part separately.

Adding A and C will give us 10 - 3i:

-3 - 4i + 13 + i

= -3 + 13 - 4i + i

= 10 - 3i.

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melisa1 [442]

Answer:

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Step-by-step explanation:

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3 0

2 years ago

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Distance between -3,-2 and 5,2

irakobra [83]

We can find the distance between two points by using distance formula,

$\qquad \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }}$

Here,

x₁ = -3

x₂ = 5

y₁ = -2

y₂ = 2

Therefore,

$: \implies \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }} \\ \\ : \implies \: D = \sf \sqrt{ {(5-( - 3))}^{2} + {(2 -( - 2))}^{2} }\\ \\ : \implies \: D = \sf \sqrt{ {8}^{2} + {4}^{2} } \\ \\ : \implies \: D = \sqrt{64 + 16} \\ \\ : \implies \: D = \sqrt{80}$

Hence the √80 = 8.94 approx is the distance between the two points (-3,-2) and (5,2).

3 0

2 years ago

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?.

natali 33 [55]

The train will pass a bridge in 40 seconds.

<h3>What is the distance?</h3>

Distance is defined as the product of speed and time.

Given that A train 360 m long is running at a speed of 45 km/hr.

Speed of train = 45 km/hr.

And it passes a bridge 140 m long.

Length of train = 360 meters

Since 1 km = 1000 meters.

and 1 hour = 3600 seconds

we have to determine the length of the train

So 1(km/hr.) = (1000/3600) = (26/72) meter/seconds

45 km/hr = 45 ×5/18 = 25/2 meter per second

So the speed of the train = 25/2 meters per second

Total distance to be covered = (360+140)m = 500m.

So time will it pass a bridge = distance/speed

Substitute the values of distance and speed in the above formula,

⇒ 500/(25/2)

⇒ 500×2/25

⇒ 40 seconds

Hence, the train will pass a bridge in 40 seconds.

Learn more about the distance here:

brainly.com/question/13269893

#SPJ4

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2 years ago

What is the least common multiple of 28 and 8

nordsb [41]

LEAST COMMON MULTIPLE is 56

hope this helped☺

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3 years ago

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Write 2.454545... as a fraction in lowest terms

kvv77 [185]

490909/200000 is the answer

Have a great day!

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May I please have brainliest?

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3 years ago