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Ostrovityanka [42]
3 years ago
12

Simplify the given expression.

Mathematics
2 answers:
Alinara [238K]3 years ago
7 0
(1 + 3i) + (2 - 5i) = 1 + 3i + 2 - 5i = 3 - 2i
forsale [732]3 years ago
3 0
Since you can only perform addition and subtraction on variables that have the same variable following them, the correct answer is B. 3 - 2i.
Here's why:
1 + 2 + (3i - 5i) =
3 - 2i

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What type of triangle is formed by joining the points D(7, 3), E(8, 1), and
KiRa [710]

D(7, 3), E(8, 1), and  F(4, -1)

We calculate the squared distances between the points:

DE^2 = 1^2 + 2^2 = 5

EF^2=4^2+2^2=20

DF^2=3^2+4^2=25

Since DF^2=DE^2+EF^2 we have a right triangle with hypotenuse DF.

7 0
3 years ago
What equation represents the relationship between p and q shown in the table
mash [69]

q = 10p because all of them are multiplied by ten

6 0
3 years ago
Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass
Harman [31]

The solution would be like this for this specific problem:

Volume of a cylinder = pi * r^2 * h 

Volume of a cone = 1/3 * pi * r^2 * h 

Total Height = 47

Height of the cone = 12

Height of the cylinder = 35

If the top half is filled with sand, then:

volume (sand) = pi * 4^2 * 36

volume (cone) =  1/3 * pi * 4^2 * 12

Total volume = 1960.353816 cubic millimeters

353816 / (10 * pi) = 62.4 seconds.

It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.

7 0
3 years ago
DOES ANYONE KNOW THE ANSWER?????????
givi [52]

There's only information to answer question C.

We can only know that 32 marbles were chosen. (yellow and black)

Why?

To answer the first two questions (a and b), we need to know the total number of marbles, so, we can only answer the last question (c).

We know that 7/10 of the 20 yellow marbles were chosen.

So, calculating we have:

\frac{7}{10}*20=14(yellow)

Also, we know that 18 black marbles were chosen, so, the total of marbles chosen is equal to 32 (yellow marbles and black marbles)

TotalMarbles=14(yellow)+18(black)=32marbles

Have a nice day!

8 0
3 years ago
What is the equation of the line passing through the points (–2, 3) and (1, 4)
finlep [7]
Slope-intercept form:
y=1/3x+11/3
5 0
3 years ago
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