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Nat2105 [25]
3 years ago
11

Express $\frac{15 + 10i}{1 + 2i}$ in rectangular form.

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0

\dfrac{15 + 10i}{1 + 2i}=\\\\\dfrac{(15 + 10i)(1-2i)}{(1 + 2i)(1-2i)}=\\\\\dfrac{15-30i+10i+20}{1+4}=\\\\\dfrac{35-20i}{5}=\\\\7-4i

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a nursery owner buys 9 panes of glass to fix some damage to his greenhouse the 9 panes cost 19.35 unfortunately he breaks 4 more
Finger [1]
Answer:

First we divide 19.35 by 9 to find how much it costs for 1 pane, 19.35/9=2.15$.

Then we multiply by 4 to get the cost of 4 panes, 2.15*4=8.60$. The cost of another 4 panes is 8.60$.
8 0
3 years ago
What is the ordered pair for point H?
sveticcg [70]
Could you show where is Point H?
5 0
3 years ago
Geometry only answer if you know
nalin [4]
<h2><u>My complete work</u> :</h2>

Given :

  • ∠F = ∠J
  • ∠D = ∠H
  • ∠E = ∠I

Sum of all angles in a triangle = 180°

Which means :

  • 41 + 20 + 15x - 1 = 180

= \tt61 + 15x - 1 = 180

=\tt 61 - 1 + 15x = 180

=\tt 60 + 15x = 180

= \tt15x = 180 - 60

=\tt 15x = 120

= \tt \: x =  \frac{120}{15}

=\tt x = 18

  • Thus, the value of x = 18

Measure of angle 15x-1 :

= \tt15 \times 8 - 1

=\tt120 - 1

=\tt 119

Thus, the measure of angle 15x-1 = 119°

Let us place 8 in the place of x to see if we have found out the correct measure of the angles :

= \tt40 + 21 + 119 = 180

= \tt61 + 119 = 180

=\tt 180 = 180

Since the measures of all the angle sum up to form 180°, we can conclude that we have found out the correct measure of each of the angles.

Therefore, the value of x = 8

<h2><u>My answer</u> :</h2>

\boxed{\color{plum}\bold{x = 8}}

4 0
3 years ago
Rewrite the equation below in standard form 2/3 x = - 5/2 y + 2
Ksenya-84 [330]

Standard form: Ax + By = C


So

2/3 x = - 5/2 y + 2

in standard form:

2/3 x + 5/2 y = 2


Hope it helps

4 0
3 years ago
If sally has 8 dog and lost 2, how many does she have left ?
Sedaia [141]

Answer:

Six dogs remaining

Step-by-step explanation:

Sally has 8 dogs in total and loses 2

Basically she has 8 dogs and 2 are lost, this is represented by:

8 - 2

Solve:

8 - 2 = 6

Therefore, Sally has six dogs left.

6 0
3 years ago
Read 2 more answers
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