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3 years ago

What is the answer to 2(5×+9)=78

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

5 0

<h2>X = 10</h2><h2 /><h2>Answer and work are provided in image attached.</h2>

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Perform the indicated operations. Write the answer in standard form, a+bi.<br> (5 + 6i)(5 - 6i)

lubasha [3.4K]

$\boxed{\underline{\bf \: ANSWER}}$

$\sf \: ( 5 + 6 i ) ( 5 - 6 i )$

Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.

$\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)i^{2}$

By definition, i² is -1.

$\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right)$

Do the multiplications.

$\dashrightarrow \sf \: 25-30i+30i+36$

Now cancel -30i & +30i

$\dashrightarrow \sf \: 25 \: \bcancel{- 30i} \: + \: \bcancel{30i}+36$

Now the equation becomes

$\dashrightarrow \sf \: 25 \: + 36 \\ \dashrightarrow \boxed{\bf \: 61}$

________

Hope it helps.

ŕάίήвόώşάĻţ2²2²

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3 years ago

Read 2 more answers

2x^2+5x+3/x^2-3x-4 divided by 4x^2+2x-6/x^2-8x+16

Masja [62]

Answer: $\frac{x-4}{2x-2}$

Step-by-step explanation:

$\frac{2x^2+5x+3}{x^2-3x-4}$ divided by $\frac{4x^2+2x-6}{x^2-8x+16}$ is the same thing as multiplying $\frac{2x^2+5x+3}{x^2-3x-4}$ by $\frac{x^2-8x+16}{4x^2+2x-6}$ .

The equation we get is:

$\frac{2x^2+5x+3}{x^2-3x-4}*\frac{x^2-8x+16}{4x^2+2x-6}$

With this equation, we can factor each equation:

$\frac{(x+1)(2x+3)}{(x+1)(x-4)} *\frac{(x-4)(x-4)}{2(x-1)(2x+3)}$

We can cancel out like terms since they would be dividing each other:

$\frac{x-4}{2x-2}$

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3 years ago

I'll give brainliest if u are right

emmainna [20.7K]

Answer:

0.3

Step-by-step explanation:

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3 years ago

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A digital camera cost $229.The camera is on sale for 30% off and you have a coupon for an additional 15% off the original price.

ZanzabumX [31]

The answer is $103.05! Not a bad price if you ask me!

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3 years ago

In a rock-paper-scissors game, a winner gets 5 points and a loser gets 2 points. After a man played this game 20 times, his tota

aleksandr82 [10.1K]

Answer:

The man wins 9 times and looses 11 times in the rock - paper-scissor game.

Step-by-step explanation:

Let us assume that in the game:

Number of times man wins the games = x times

Number of times man loses the games = y times

Total number of attempts = 20

Points after winning = 5

Points after loosing = 2

Now, according to the question:

x + y =20

and 5 x + 2 y = 67

Now, from (1) y = 20-x, put in (2)

5x + 2y = 67 ⇒ 5x + 2(20 -x) = 67

or, 5x -2x = 67 - 40

or, 3x = 27

⇒ x = 27/3 = 9

then y = 20 - x = 20 - 9 = 11

⇒ x = 9 and y = 11 is the solution of the given system.

Hence, the man wins 9 times and looses 11 times in the rock - paper-scissor game.

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3 years ago