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3 years ago

What is the standard form of (2-4i)(3+5i)/(3+i)?

Mathematics

2 answers:

Eva8 [605]3 years ago

8 0

Answer:

AKA Letter Choice E on Plato!!

german3 years ago

5 0

$\dfrac{(2-4i)(3+5i)}{3+i}=\\
\dfrac{6+10i-12i+20}{3+i}=\\
\dfrac{26-2i}{3+i}=\\
\dfrac{(26-2i)(3-i)}{9+1}=\\
\dfrac{78-26i-6i-2}{10}=\\
\dfrac{76-32i}{10}=\\
\dfrac{38}{5}-\dfrac{16}{5}i$

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OMG HELP PLSSS!!/ Each cube in the figures below is one cubic unit. Which figure does not have a volume of 48 cubic units? Selec

natta225 [31]

Answer:

C & D

Step-by-step explanation:

A. = 48 cubic units

B. = 48 cubic units

C. = 64 cubic units

D. = 44 cubic units

7 0

3 years ago

Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb

Umnica [9.8K]

Answer:

It would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.

Since

$z = ax^2 + by^2$

For this case, the gradient of your function would be

$\nabla z = (2ax , 2by)$

And -1 times the gradient of your function would be

$-\nabla z = (-2ax , -2by)\\$

Then, at

$(1,1,a+b),\\x = 1 \\y = 1$

So it would go towards

$v = (-2a,-2b)$

The magnitud of that vector is

$|v| = 2\sqrt{a^2+b^2}$

and to conclude it would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

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3 years ago

Which expression is equivalent to -3(4x-2)-2x

slega [8]

Answer:

Step-by-step explanation:

-3(4x+2)-2x

-12x+6-2x

-14x+6

8 0

3 years ago

Read 2 more answers

For a ride on a rental scooter, Deon paid an $8 fee to start the scooter plus 6 cents per minute of the ride. The total bill for

faltersainse [42]

Answer:

66 minutes

Step-by-step explanation:

11.96 - 8 =3.96

Every 10 minutes Deon pays 60 cents because 6 times 10 = 60 and every 6 minutes Deon is paying 36 cents

10 min = 60 cents

20 min = $1.20

40 min = $2.40

50 min = $3.00

60 min = $3.60

6 min = 36 cents

Then you do 3.60 + 36 which equals $3.96

How to figure how the minutes is just 60 + 6 = 66 minutes

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2 years ago

The normal cost of a basketball is $21.50. We purchased the basketball for Mason using a coupon for 25% off. How much did we pay

PilotLPTM [1.2K]

First find 25% of 21.5. You can do this by multiplying .25 by 21.5. That gives you 5.375. Subtract that from 21.5. That gives you 16.125. Money only has two decimal places so round 16.125 up to 16.13 and that's your answer! <3

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2 years ago