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3 years ago

Simplify (10-10i)/(-5i)

Mathematics

1 answer:

Phoenix [80]3 years ago

4 0

Answer:

Step-by-step explanation:

$i-\text{imaginary\ unit}\\\\i=\sqrt{-1}\to i^2=-1\\\\=====================$

$\dfrac{10-10i}{-5i}=\dfrac{10}{-5i}+\dfrac{-10i}{-5i}=\dfrac{(10)(i)}{(-5i)(i)}+2=\dfrac{10i}{(-5)(i^2)}+2\\\\=\dfrac{10i}{(-5)(-1)}+2=\dfrac{10i}{5}+1=2i+2=2+2i$

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What is the total area of the prism?

Pavlova-9 [17]

First we look for the area of the triangle which is given by:
A = (1/2) * (4) * (6)
A = 12 feet ^ 2
Area of the rectangles:
Rectangle 1:
R1 = (4) * (8)
R1 = 32 feet ^ 2
Rectangle 2:
R2 = (6) * (8)
R2 = 48 feet ^ 2
Rectangle 3:
R3 = (root (6 ^ 2 + 4 ^ 2)) * (8))
R3 = 57,68882041 feet ^ 2
The total area will be:
A = 2A + R1 + R2 + R3
Substituting values:
A = 2 * (12) + 32 + 48 + 57,68882041
A = 161.6888204 feet ^ 2
Answer:
The total area of the prism is:
A = 161.6888204 feet ^ 2

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3 years ago

Write the algebraic expression of “the sum of a multiple of 3 and the number one greater than multiple of 3”

marysya [2.9K]

Answer:

9 IS THE ANSWER

Step-by-step explanation:

3*3=9

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3 years ago

Factor 4x^4yz-16y^3z

Iteru [2.4K]

Answer:

Step-by-step explanation:

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3 years ago

A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form? A) 2x + y =

Vinil7 [7]

The answer is C ............

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3 years ago

Read 2 more answers

Determine the shortest segment in △ PQS and △ QRS. Remember that a segment is named by its endpoints (two letters).

irinina [24]

Answer: QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.

Step-by-step explanation:

Since we have given that

ΔPQS, and ΔSQR,

Consider, ΔPQS,

As we know that " the length opposite to the largest angle is the shortest segment."

So, According to the above statement.

$\angle QPS=63\textdegree\\\\\text{So, QS is the shortest segment of this triangle}$

Similarly,

Consider, ΔSQR,

Again applying the above statement, we get that,

$\angle QSR=75\textdegree\\\\\text{ So, QR is the shortest segment of this triangle}$

Hence, QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.

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3 years ago