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Nady [450]
3 years ago
12

Simplify the expression to a + bi form: (-7+5i) (5 + 3i)

Mathematics
2 answers:
I am Lyosha [343]3 years ago
5 0

Answer:

We know that, i = √-1 => i² = -1

→( - 7 + 5i)(5 + 3i) \\  =  - 35 - 21i + 25i + 15 {i}^{2}  \\  =  - 35 - 21i + 25i - 15 \\  =   \boxed{- 50 + 4i}✓

  • <u>-50 + 4i</u> is the right answer.
insens350 [35]3 years ago
4 0

Answer:

-50+4i

Step-by-step explanation:

(-7+5i)(5+3i)

-35+25i-21i+15i^2 where i^2=-1

-35+4i+15(-1)

-35-15+4i

-50+4i

Please mark me as Brainliest if you're satisfied with the answer.

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X/6 - 10 =2 <br><br><br> Show your work.
zheka24 [161]

Answer:

72

Step-by-step explanation:

x/6 - 10 = 2

x/6 = 12 (add 10 to both sides)

x = 72 (multiply 6 to both sides)

4 0
3 years ago
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Alona [7]

36° ( option C)

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4 0
4 years ago
Is (5, 4) a solution to this system of equations?<br> 2x + 3y = 23 <br> y + x = 9
lions [1.4K]
No because it works for y + x= 9 but not the first one
6 0
3 years ago
A father's age now is three times the age that his son was four years ago. In 12 years, the father will be twice as old as his s
irina1246 [14]

Answer:

Now, the father is 60, and the son is 24.

Step-by-step explanation:

Now:

Father's age = f

Son's age = s

4 years ago:

Father's age = f - 4

Son's age = s - 4

In 12 years:

Father's age = f + 12

Son's age = s + 12

Now:

f = 3(s - 4)

In 12 years:

f + 12 = 2(s + 12)

We have 2 equations that we can solve in a system of equations.

f = 3(s - 4)

f + 12 = 2(s + 12)

f = 3s - 12

f + 12 = 2s + 24

f = 3s - 12

f = 2s + 12

Since above both equations are in terms of f, set the right sides equal and solve for s.

3s - 12 = 2s + 12

s = 24

f = 3(s - 4)

f = 3(24 - 4)

f = 3(20)

f = 60

Now, the father is 60, and the son is 24.

8 0
2 years ago
What Mitochondria of a <br> of a cell
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Answer:

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8 0
3 years ago
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