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3 years ago

Simplify (1+2i)(5-3i)

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

Answer: 11+7i

Step-by-step explanation: Multiply using the PIL mthod, then combine the real imaginary parts of the expression.

Hope this helps you out! ☺

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You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building

nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

$h=\sqrt{x^2+y^2}$

The rate of change for the distance between you and the elevator is given by:

$\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}$

$-16=\frac{dh}{dy}*\frac{dy}{dt}$

$\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\$

Applying the chain rule:

$u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}$

Therefore, at x=300 and y = 500, dy/dt is:

$-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s$

The elevator is descending at 18.66 ft/s.

7 0

3 years ago

PLEASE HELP ASAP

Vlad [161]

Answer:

1 : 6 . . . . or 1/6

Step-by-step explanation:

We know 1 foot is 12 inches, so 5 feet is 5·12 = 60 inches. Zachary's scale factor is ...

drawing size : actual size = 10 inches : 60 inches = 1 : 6

This can also be written as the fraction 1/6.

5 0

3 years ago

What is the common difference between the terms in the following sequence?

Ipatiy [6.2K]

Answer:

-6

Step-by-step explanation:

17-6=11

11-6=5

5-6=-1

-1-6=-7

6 0

2 years ago

Read 2 more answers

What is the value of x in the parallelogram CDEF if top left corner is 104 degrees and bottom right corner is (2x+16) degrees?

Travka [436]

Answer:

x = 44

Step-by-step explanation:

Opposite angles in a parallelogram are congruent, so ...

104 = 2x +16

88 = 2x . . . . . . subtract 16

44 = x . . . . . . . divide by 2

6 0

3 years ago

1 ) Are 1.73 and 1.730 equivalent ? Is one greater ? <br> 2 ) Which one is greater : 4.3 or 4.03 ?

hjlf

1.73 and 1.730 are equivalent

4.3 is bigger then 4.03

5 0

3 years ago