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3 years ago

Write the expression (2−3i)+5i(1−3i) as a complex number in standard form.

Mathematics

1 answer:

Katarina [22]3 years ago

5 0

Answer:

17 + 2i

Step-by-step explanation:

Given

(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis

= 2 - 3i + 5i - 15i² [ i² = - 1 ]

= 2 + 2i + 15

= 17 + 2i ← in standard form

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sashaice [31]

Answer:

An 8-pack of frozen waffles costs $6.91. What is the unit price, rounded to the nearest cent?

Step-by-step explanation:

it is jashdsdhkjasdhjsd

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3 years ago

Question 5 (Solving Problema) lon 5 Solving Problems] Write 24 18 in slmplest form

otez555 [7]

Answer:

4/3

Step-by-step explanation:

reduce the fraction by a factor of 6

pretty sure you mean write 24/18 in simplest form so that's the answer

Hope this helps! :)

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2 years ago

What is the solution of the system?

Kryger [21]

Greetings!

Solve the System, using Elimination:
$\left \{ {{4x+2y=18} \atop {2x+3y=15}} \right.$

Multiply Equation #2 by 2:
$\left \{ {{4x+2y=18} \atop {2(2x+3y)=2(15)}} \right.$

$\left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.$

Eliminate variable x:
$-\frac{ \left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.}{0x-4y=-12}$

$4y=-12$

Divide both sides by 4:
$\frac{4y}{4}= \frac{12}{4}$

$y=3$

Input this value into one of the Equations:
$4x+2y=18$

$4x+2(3)=18$

Simplify:
$4x+6=18$

$(4x+6)+(-6)=(18)+(-6)$

$4x=12$

Divide both sides by 4.
$\frac{4x}{4}= \frac{12}{4}$

$x=3$

The Solution to this System (The Point of Intersection):
$\boxed{(3,3)}$

I hope this helped!
-Benjamin

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3 years ago

The sum of 2 of the exterior angles of a triangle is 222 degrees. What is the measure of the third exterior angle?

zysi [14]

Answer:

Exterior angles always add up to 360 degrees, therfore 360 - 222 = 138

Step-by-step explanation:

360 - 222 = 138

the answer to your question is 138degrees.

For any shape the exterior angles will always add up to 260 degrees.

Hope this helps in the future!

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