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Paul [167]
3 years ago
10

SIMPLIFY THE EXPRESSION PLEASE 3(-6 + 2j)

Mathematics
1 answer:
snow_lady [41]3 years ago
6 0

Answer:

-18 + 6j

Step-by-step explanation:

you multiply 3 by -6 which is -18

then you multiply 3 by 2j which is 6j

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(Puzzle 2 - Scientific Notation Directions: Using the digits 1 to 9 to fill in the boxes only once, write the largest and smalle
leva [86]

Answer:

8x(10)^9 - 2 x (10)^1

1x(10)^3 - 9 x (10)^2

Step-by-step explanation:

3.1 X (10)^4- 6.5 X (10)^2

= 31000- 650

= 30,350

For greater number

_x10^blank - _ x 10^_

8x(10)^9 - 2 x (10)^1  ( we use 9 as the power because greater number used as power gives the bigger number and the next smaller number 8 as base. Similarly we use smaller number for power to get a smaller for the greatest difference)

= 8,000,000,000 -20

= 7,999,999,980

For smaller number

_x10^blank - _ x 10^_

1x(10)^3 - 9 x (10)^2   ( we use 3 as the power because smaller number used as power gives the smaller number and the next smallest number 1 as base. Similarly we use next smaller number for power to get the next  smaller for the smallest difference)

= 1000- 900

= 100

We fill in the blanks keeping in mind that we do not have to repeat the numbers from 1-9 and also the numbers should have such an arrangement that they show the smallest and largest possible differences.

4 0
3 years ago
Use the zero product property to find the solitions to the equation(x+2)(x+3)=12.
kykrilka [37]

Answer:

(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12  (multiply the binomials)

(x + 2) (x + 3) = x² + 5x + 6 = 12

(x + 2) (x + 3) = x² + 5x + 6-12 = 0  (add the like term and bring the positive 12 to the other side which makes it negative)

x² + 5x + 6 = 0

Using the snowflake method -  (finding the factors of 6 that adds/subtracts to give you 5).  

This method will give you the factors (x + 6)(x - 1)

ZERO PROPERTY RULE:

(x + 6) = 0

x = -6

(x - 1) = 0

x = 1

The two solutions to the equation are -6 and 1.

7 0
3 years ago
Find the area of the figure
crimeas [40]
Try this way:
S=S₁-S₂, where S - area of the figure, S₁ - area of the triangle, S₂ - area of the quadrangle.
S=0.5*(5+2)*(5+4)-2*4=31.5-8=23.5 in.²

Answer: 23.5 in.²
8 0
3 years ago
Is my answer correct !???
puteri [66]
Yes, your answer is correct.
5 0
3 years ago
24x=3y solve for x and y
olga2289 [7]
\ 24x=3y \\ \\ \ x=3 \ ; \ y=24
4 0
4 years ago
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