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Alex17521 [72]
3 years ago
5

8i-(12-4i)+7√-9 show work please

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

33i - 12

Step-by-step explanation:

8i - (12 - 4i) + 7 \sqrt{ - 9}   \\  = 8i - 12  + 4i + 7 \sqrt{9  \times ( - 1)}  \\ = 12i - 12 + 7 \times 3 \sqrt{ - 1}  \\ = 12i - 12 + 21i  \:  \: ( \because  \sqrt{ - 1} = i)\\  = 12i + 21i - 12 \\   \therefore \red{ \bold{8i - (12 - 4i) + 7 \sqrt{ - 9} }=  \purple{ \bold{33i - 12}}}

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A football team tries to move the ball forward as many yards as possible on each play, but sometimes they end up behind where th
Illusion [34]

Answer:

Given:

The distances, in yards, that a team moves on its first five plays are 2, 21, 4, 3, and 25.

Solved:

1. The greatest number is 25

2. If the moved distances are square, which one is largest?

3. The move which is greater than 4 is considered "big play"

=> 21 and 25 are big play (21 > 4, 25 > 4)

Hope this helps!

:)

3 0
3 years ago
3. Sophie and Jackie each have a collection of baseball cards, Jackie has 5 more cards than
IRISSAK [1]

Answer:

Sophie has 12.5 cards

Step-by-step explanation:

Let

x -----> number of cards Sophie has

y -----> number of cards Jackie has

we know that

x+y=30 -----> equation A  

y=x+5 -----> equation B

Solve by substitution

Substitute equation B in equation A and solve for x

x+(x+5)=30

2x=30-5

x=12.5 cards

Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number

5 0
3 years ago
Cost of admission to a town fair was $8 for adults and $5 for children. If 206 people
tatiyna
I think 176 adult tickets were sold , sry if it’s wrong i’m kinda bad in math
7 0
2 years ago
A baseball player hit 65 home runs in a season. Of the 65 home​ runs, 19 went to right​ field, 23 went to right-center​ field, 9
olchik [2.2K]

Answer:

a) 29.23% probability that a randomly selected home run was hit to right field

b) 29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. It is said to be unusual if it is lower than 5% or higher than 95%.

(a) What is the probability that a randomly selected home run was hit to right field?

Desired outcomes:

19 home runs hit to right field

Total outcomes:

65 home runs

19/65 = 0.2923

29.23% probability that a randomly selected home run was hit to right field

(b) Was it unusual for this player to hit a home run to right field?

29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.

8 0
3 years ago
The area of a rectangle is 46 square inches. If the length is 4 times the width, then find the dimensions of the rectangle. Roun
vampirchik [111]

The dimensions of the rectangles to the nearest hundredth are

  • length = 13.56 inches
  • width = 3.39 inches

<h3>What is a rectangle?</h3>

A rectangle is four sided plane figure which each pair of sides equal and opposite to each other. The sides intersect at an angle of 90 degrees.

<u>Given data</u>

Area of the rectangle = 46 square inches

length L = 4 * width W

area of a rectangle, A

A = L * W

46 = L * W

46 = 4w * w

46 = 4w^2

w^2 = 11.5

w = sqrt ( 11.5 )

w = 3.391 inches

w = 3.39 to the nearest hundredth

since L = 4w

L = 4 * 3.391

L = 13.564

L = 13.56 to the nearest hundredth

Read more on areas of rectangles here: brainly.com/question/2607596

#SPJ1

3 0
1 year ago
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