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3 years ago

What's (8 + 3i)(3 + 5i).

1 answer:

7 0

Hello there!

(8 + 3i)(3 + 5i)

We must distribute each number/variable to the others in the opposite parenthesis.

8(3 + 5i) = 24 + 40i
3i(3 + 5i) = 9i + 15 $i^{2}$

Combine like-terms.
40i + 9i = 49i.

Now, put your simplified answer in Standard Form;
15 $i^{2}$ + 49i + 24

This is your answer.

I hope this helps!

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A recipe needs 3/4 cup of water for every 2 cups of flour. If you to use 6 cups of flour, how much water will you need?

Diano4ka-milaya [45]

Answer:

2 1/4 or 2.25

Step-by-step explanation:

2*3= 6

3/4*3= 2 1/4

4 0

2 years ago

Write the equation of the line given the slope and a point through the line passes

Anuta_ua [19.1K]

Answer:

1.) Y = 5/3 X + 4

2.) Y = 9/4 X - 27/4

Step-by-step explanation:

Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is

Y = MX + C

Where the

Slope M = 5/3

Coordinate = (-3,-1) in which

X = -3, Y = -1

Substitute X, Y and M into the general linear equation to achieve C

-1 = 5/3(-3) + C

-1 = - 5 + C

C = 5 - 1

C = 4

Substitute C and M back into the general linear equation.

Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be

Y = 5/3 X + 4

2.) Also,

Slope M = 9/4

Coordinate = (3,0) where X = 3, Y = 0

Substitute X, Y and M into the general linear equation to obtain C

0 = 9/4 (3) + C

C = - 27/4

Substitutes C and M back into the general linear equation

Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)

Y = 9/4 X - 27/4

4 0

2 years ago

Lexy and Lonnel applied to the same university. They looked up the average SAT score of students admitted to that university. Le

Tomtit [17]

9514 1404 393

Answer:

(a) ❘-270 - 30❘

Step-by-step explanation:

One score is -270 and the other is +30. The difference is either of ...

|30 -(-270)|

|-270 -30| . . . . . . matches choice A

4 0

2 years ago

Please help i have 2 questions thank you very much.

Rudik [331]

Hello!

Question 1
We first have to convert everything to yards since the concrete is charged by the cubic yards

15 feet = 5 yards
15 feet = 5 yards
3 inches = 0.08333

Multiply these to find the volume

5 * 5 * 0.08333 = 2.08325

Multiply this by the cost

2.08325 * 46 = 95.83

The answer is C) $95.83
------------------------------------------------------------------------------------------------------
Question 2

You have to find the volume of the first pyramid

The equation we use is $V = \frac{lwh}{3}$

V is volume
l is length
w is width
h is height

Put in the values we know

$V = \frac{16 * 16 * 28}{3}$

Multiply

$V = \frac{7168}{3}$

Divide

V = 2389.3333

Now we use this to find the side length of the second pyramid

$2389.333 = \frac{lw * 112}{3}$

Multiply both sides by 3

<span>7167.999 = lw * 112
</span>
Divide both sides by 112

63.9999 = lw

Since it is a square pyramid we know that sides are equal

63.999 = l^2

Take the square root of both sides

8 = l

The answer is B) 8in

Hope this helps!

8 0

3 years ago

in the figure below, lines a and b are straight and parallel to each other, which angles must be congruent to<1

vlabodo [156]

You have to show a figure

8 0

3 years ago