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Bogdan [553]
2 years ago
12

(5 - 7i)(8 + i)

Mathematics
1 answer:
docker41 [41]2 years ago
7 0

Answer:

(5 - 7i)(8 + i)

F) 40 - 561

H) 37 - 371

K) -16 - 2i

G) -33 - 61i

J) 47 - 51i

- 9 below

Step-by-step explanation:

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Answer:

6x^{2} -10x - 4

Step-by-step explanation:

6x^{2} - 12x + 2x -4

6x^{2} -10x - 4

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= Simplify the following algebraic expressions given below into their equivalent standard forms.
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Answer:

https://tex.z-dn.net/?f=(x%2B10)%5E%7B2%7D%20

Step-by-step explanation:

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3 years ago
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3 years ago
What is the distance between ( 8 , − 3 ) (8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and ( 4 , − 7 ) (4,−7)lef
Elena L [17]

Given Information:

Point 1 =  (8, −3)

Point 2 =  (4, −7)

Required Information:

Distance between points = d = ?

Answer:

Distance between points = d = √32 = 5.657

Step-by-step explanation:

We are given two points,

(x₁, y₁) = (8, −3)

(x₂, y₂) = (4, −7)

We are asked to find the distance between these two points.

The distance is given by

d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }

Substitute the given coordinates into above equation

d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 } \\\\d = \sqrt{(4 - 8)^2 +(-7 - (-3))^2 } \\\\d = \sqrt{(-4)^2 +(-7 +3)^2 } \\\\d = \sqrt{(-4)^2 +(-4)^2 } \\\\d = \sqrt{16 +16 } \\\\d = \sqrt{32} \\\\d = 5.657

Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.

7 0
3 years ago
Two solutions of differently concentrations of acid are mixed creating 40 mL of a soul union that is 32% acid one-quarter of the
AleksAgata [21]

Answer: Three quarters (30 ml) is made up of a 36% acid solution.

Step-by-step explanation:

Since we have given that

Total amount of solution = 40 ml

One- quarter of the solution is given by

\frac{1}{4}\times 40\ ml\\\\=10\ ml

Three-quarter of the solution is given by

\frac{3}{4}\times 40\\\\=30\ ml

According to question, we have

10 ml of solution is made up of = 20% of acid solution

30 ml of solution is made up of = say<em> 'c </em>' of acid solution

40 ml of solution is made up of = 32 % of acid solution

So, our equation becomes,

10\times 0.2+30\times c=40\times 0.32\\\\2+30c=12.8\\\\30c=12.8-2\\\\30c=10.8\\\\c=\frac{10.8}{30}\\\\c=0.36\\\\c=36\%

Hence,  three quarters (30 ml) is made up of a 36% acid solution.

5 0
3 years ago
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