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zysi [14]
3 years ago
12

Perform the indicated operation & simplify. Express the answer as a complex number. ( 6 − 7 i ) ( − 8 + 3 i ) =___

Mathematics
1 answer:
slega [8]3 years ago
6 0

( 6 − 7 i ) ( − 8 + 3 i )

First FOIL:

( 6 − 7 i ) ( − 8 + 3 i )  = -48 + 18i + 56i -21i^2

Combine like terms

                                 = -48 + 74i -21i^2

Convert i^2 = -1

                                 = -48 + 74i -21(-1)

And simplify

                                 = -48 + 74i + 21

                                 = -27 + 74i

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A group of tourists spend $168 to rent snorkels and find. A total of 10 snorkels and 12 pairs of fins are rented. Renting a snor
WITCHER [35]

Answer:

Cost to a rent a snorkel=\$ 12                ,           Cost on 10 rent  snorkel =\$ 120

Step-by-step explanation:

Given,

Tourist spend on rent snorkel and fin=\$ 168

10 snorkel and 12 pairs of fin

Let the cost to  rent a snorkel be =\$x

and cost of a pair of fin is =\$y

x=3y            (given condition)

10x+12y=168

10\times 3y+12y=168

30y+12y=168

42y=168

y=168/42

y=4

Cost of a pair of fin=  y=\$ 4

x=3y

x=3\times 4

x=12

Cost of rent a snorkel=\$ 12

Total cost of a rent snorkel

=10\times 12

   =\$ 168

5 0
3 years ago
#6 - Calculate the monthly payment necessary to retire the following loan
klemol [59]

9514 1404 393

Answer:

  A)  $1350

  B)  $5850

  C)  $162.50

Step-by-step explanation:

A) The interest is given by the formula ...

  I = Prt

where P is the principal amount, r is the interest rate, and t is the number of years.

  I = $4500×0.10×3 = $1350

The interest owed is $1350.

__

B) At maturity, the principal and interest are due. That amount is ...

  $4500 +1350 = $5850

The maturity value is $5850.

__

C) If the maturity value is paid in 36 equal monthly installments, each is ...

  $5850/36 = $162.50

The monthly payment is $162.50.

4 0
3 years ago
How many soultions does 5(x-3)+6=5x-9
olya-2409 [2.1K]

5(x - 3) + 6 = 5x - 9 has no solution

<em><u>Solution:</u></em>

We have to find the number of solutions for the given equation

Given equation is:

5(x - 3) + 6 = 5x - 9

Multiply the terms inside with bracket with constant outside the bracket

5x - 15 + 6 = 5x - 9

Add the constants in left hand side of equation

5x - 9 = 5x - 9

If the coefficients are the same on both sides, then the sides will not equal, therefore no solutions will occur.

Here, 5x - 9 = 5x - 9

The coefficients are same in both sides of equation

Therefore, the equation has no solution

5 0
3 years ago
What is the second step in the​ construction?
MrMuchimi

Answer:

To draw the perpendicular bisector of any line segment, the compass opening should be the kept constant at any value a little more than half the length of the line segment. Then the compass point should be kept on one end and arcs drawn above and below and then keeping the same compass opening the same as mentioned before, the compass point should be placed on the other end and the arcs should be drawn above and below the segment touching the previous arcs.

Thus, out of the given options, the first option best suits the next step Herberto should take.

Step-by-step explanation:

5 0
3 years ago
In a school, the ratio of soccer players to volleyball players is 4:1. Which statement is true?
Diano4ka-milaya [45]
The number of soccer players is 4 times the number of volleyball players.
6 0
3 years ago
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