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vodomira [7]
2 years ago
8

WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0

Answer:

-  \frac{3}{13}  +  \frac{15i}{13}

Step-by-step explanation:

\frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)}

Set up equation

Step 1: Simplify

\frac{6i}{5 - i}

Step 2:Multiply by conjugate

\frac{6i}{5 - i}  \times  \frac{5 + i}{5 + i}

Step 3:Simplify

\frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2}  }

We can reduce this and we must make the imaginary number and real number serpate equations.

-  \frac{6}{26}  +  \frac{30i}{26}

Reduce each by 2

- \frac{3}{13}  +  \frac{15i}{13}

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If I bought shoes for 32.30 with 15% off 7%sales tax a 25dollar gift card but had a coupon that was forgotten for 5%off the orig
Otrada [13]

Answer:

 $4.37 cash outlay

 $29.37 total amount paid, partly with gift card

Step-by-step explanation:

The discount was ...

  0.15 × $32.30 = $4.845 ≈ $4.85

So the price to which tax is added is ...

  $32.30 -4.85 = $27.45

The amount of tax is 7% of this value, or ...

  tax = $27.45 × 0.07 = $1.9215 ≈ $1.92

So, payment is made on the amount ...

  $27.45 + 1.92 = $29.37

$29.37 is the total amount paid.

If $25 is paid using a gift card, then the cash outlay is $4.37.

_____

Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.

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<em>Alternate interpretation</em>

If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.

4 0
3 years ago
Rectangle has a vertices at (-1,4), (-1,-1) and (4, -1) where is the fourth vertex located
erica [24]

Answer:

(4,4)

Step-by-step explanation:

1. I drew a grid and plotted the 3 points I already knew

2. I found the spot that had the same x coordinate that the point to the bottom left of the shape, and the same y coordinate of the top right of the shape which was the point (4,4)

I hope this helps!!

3 0
3 years ago
One solution to the problem below is 4.<br> What is the other solution?<br> y² - 16 = 0
ratelena [41]

Answer:

The 2 answers are 4 and -4

Step-by-step explanation:

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3 years ago
How do i write b + 3 = b^2 in verbal expression
igor_vitrenko [27]

Answer:

b plus 3 is equal to b squared

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1 part sugar and 4 parts of water she uses 3/4 cup of sugar
PolarNik [594]
1 part sugar : 4 parts water

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