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Oksi-84 [34.3K]
3 years ago
11

Simplify to create an equivalent expression (2j+1)9-7j

Mathematics
2 answers:
sveta [45]3 years ago
8 0

Answer:

Simplifying

(2j + 1) * 9 + -7j = 0

Reorder the terms:

(1 + 2j) * 9 + -7j = 0

Reorder the terms for easier multiplication:

9(1 + 2j) + -7j = 0

(1 * 9 + 2j * 9) + -7j = 0

(9 + 18j) + -7j = 0

Combine like terms: 18j + -7j = 11j

9 + 11j = 0

Solving

9 + 11j = 0

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 11j = 0 + -9

Combine like terms: 9 + -9 = 0

0 + 11j = 0 + -9

11j = 0 + -9

Combine like terms: 0 + -9 = -9

11j = -9

Divide each side by '11'.

j = -0.8181818182

Simplifying

j = -0.8181818182

Andre45 [30]3 years ago
6 0

Answer:

11j + 9

Step-by-step explanation:

(2j + 1)9 - 7j

or

9(2j + 1) - 7j

18j + 9 - 7j

18j - 7j + 9

11j + 9

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Find the slope of each set of points.
Elza [17]

Answer:

1. (4, 3) and (-3, 4) has  Slope  = -1/7  

2.(-2, 0) and (8, -4) has Slope  = -2/5

Step-by-step explanation:

If two such points (a,b) and (c,d) are given, then the slope S is given as:

S = (\frac{d-b}{c-a} )

Now here, the given set of points are:

1. (4, 3) and (-3, 4)

Here, the slope S  = (\frac{4-3}{-3-4})  = (\frac{1}{-7})  = -(\frac{1}{7})

⇒ S  = -1/7

1. (-2, 0) and (8, -4)

Here, the slope S  = (\frac{-4-0}{8-(-2)})  = (\frac{-4}{10})  = -(\frac{2}{5})

⇒ S  = -2/5

5 0
3 years ago
A bag contains different colored candies. There are 50 candies in the bag, 28 are red, 10 are blue, 8 are green, and 4 are yello
Sauron [17]

Answer:

21/25

Step-by-step explanation:

First we need to find the probability of getting a candy that is green

P(green) = green/total

              = 8/50

            = 4/25

We know that

P ( not green) = 1 -P(green)  

because these are the only two events that can happen

Either the candy is green or it is not green.

P ( not green) = 1 - 4/25

                        = 25/25 - 4/25

                        = 21/25

8 0
4 years ago
Read 2 more answers
Why are triangles a special polygon?
Len [333]
<span> A triangle is the simplest polygon, having three sides and three angles. The sum of the three angles of a triangle is equal to 180 degrees. </span>
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3 years ago
The measure of an exterior angle of a regular polygon is 72 degrees. Find the measure of an interior angle.
Oksi-84 [34.3K]
<span>Exterior angle of a polygon = 72 degrees Polygon has 5 sides. Interior angle = 180 (n-2) / n = 180 (5-2) / 5 = 108 degrees</span>
5 0
4 years ago
If EG=19 and FG=12 then EF=?
Volgvan

Answer:

EF = 31

Step-by-step explanation:

Note that in both line segments (EG & FG), they both have point G in them. This means that point G is the shared point and the mid-point. Add the two line segments together to get the full segment.

EG + FG = EF

19 + 12 = 31

31 is your answer

~

3 0
3 years ago
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