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2 years ago

Simplify 10 over quantity of 8 minus 5 i.

Mathematics

2 answers:

scZoUnD [109]2 years ago

3 0

The correct answer for this question is this one: "(80 + 50i) / 89" or quantity of negative 80 plus 50 i over 89

The expression is 10 over quantity of 8 minus 5 i.
10 / (8 - 5i)

= 10 / (8 - 5i) * (8 + 5i) / (8 + 5i)
= 10 * (8 + 5i) / (64 +25)
= (80 + 50i) / 89

Hope this helps answer your question. Should you have more questions, do not hesitate to post in brainly.

VARVARA [1.3K]2 years ago

3 0

The RIGHT answer is this one

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Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 a

maxonik [38]

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

$18.75= 1.25x +3.75y$

Multiply the whole equation by 4 to remove the decimals:

$75= 5x +15y$

Simplify by dividing the whole equation by 5:

$15 = x + 3y$

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

$\begin{tabular}{|c|c|c|c|} \cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}$

x +3y= 15 -----(2)

x= -3y +15

$\begin{tabular}{|c|c|c|c|} \cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}$

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

8 0

2 years ago

Read 2 more answers

Travon had a balance of $345.28 in his checking account. During the week amounts: $65.08, $24.50, and $118.95. He then made a de

Vladimir79 [104]

Select Is a Function or Is not a Function to correctly classify each relation.

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8 0

2 years ago

I will mark brainliest for answering this question.

ser-zykov [4K]

The unit rate of speed is 52.5 miles per hour

Solution:

Given that On a trip to visit relatives you drive 1,115.625 miles over the course of 21 hours and 15 minutes

We know that, 1 hour = 60 minutes

21 hours and 15 minutes = 21 hours + (15/60) hours = 21 + 0.25 = 21.25 hours

So they drive 1115.625 miles in 21.25 hours

To find the unit rate of speed of your vehicle in miles per hour, divide the total miles by time taken

unit rate of speed means miles driven in 1 hour