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3 years ago

Given the expression (8 + 6i) − (−2 + 7i), perform the indicated operation and write the answer in the form a + bi

Mathematics

1 answer:

Oliga [24]3 years ago

6 0

We can distribute the negative to get 8 + 6i + 2 - 7i, and we can simplify that to get 10 - i.
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Hope this helps!

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ANSWER THESE ILL GIVE U BRAINLIEST

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Answer:

11. a

12. c

13 a

Step-by-step explanation:

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3 years ago

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If 10% of a number is 12 and 45% of the same number is 54, find 35% of that number.

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Answer: 42

Explanation:

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allsm [11]

Answer:

$A=384\ cm^2$

Step-by-step explanation:

Let the sides of a triangle be 6x,8x and 10x.

Perimeter of the triangle, P = 96 cm

We need to find the area of the triangle.

P = sum of all sides

6x+8x+10x = 96

24x = 96

x = 4

Sides are :

6x = 6(4) = 24 cm

8x = 8(4) = 32 cm

10x = 10(4) = 40 cm

Area,

$A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 24\times 32\\A=384\ cm^2$

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2 years ago

The sugar sweet company will choose from two companies to transport its sugar to market. The first company charges 6597 to rent

Romashka [77]

The cost when two companies charge the same is $ 9006

Solution:

Let "x" be the tons of sugar

The first company charges 6597 to rent trucks plus an additional fee of $200.75 for each ton of sugar

Therefore,

Amount for first company: 6597 + 200.75(tons of suagr)

Amount for first company: 6597 + 200.75x --------- eqn 1

The second company charges $7500 to rent trucks plus an additional fee of $125.50 for each ton of sugar

Therefore,

Amount for second company: 7500 + 125.50(tons of sugar)

Amount for second company: 7500 + 125.50x --------- eqn 2

For what amount of sugar do the companies charge the same?

For both the companies to charge the same, eqn 1 must be equal to eqn 2

6597 + 200.75x = 7500 + 125.50x

200.75x - 125.50x = 7500 - 6597

75.25x = 903

x = 12

Thus for 12 tons of sugar, both the companies charge the same

What is the cost when two companies charge the same?

Substitute x = 12 in any one of equations

Let us substitute x = 12 in eqn 1

$\rightarrow 6597 + 200.75x = 6597 + 200.75(12)\\\\\rightarrow 6597 + 2409 = 9006$

Thus the cost when two companies charge the same is $ 9006

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3 years ago

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guapka [62]

Answer:

B. 5 (b + 3)

C. 5b + 15

D. 15 + 5b

Step-by-step explanation:

B. 5 (b + 3)C. 5b + 15D. 15 + 5b

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2 years ago