9 Factory? – 5y – 24 A (y + 3)(y +8) B (y - 3)(y-8) © (y+3)(y-8) D (y

Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe

AlekseyPX

The answer is
$\frac{-6i-3}{5}$ .

Before we rationalize the denominator, we must simplify the numerator and denominator. We evaluate the square root on the top, and combine like terms on the bottom:
$\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
\\
\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}$

To rationalize the denominator, we multiply by the conjugate. The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign. The conjugate of -2-i is -2+i:

$\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
\\
\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}
\\
\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
\\
\\=\frac{-6i+3i^2}{4-2i+2i-i^2}
\\
\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}$

7 0

3 years ago

Plz help me i'll give points and brainliest

RoseWind [281]

Step-by-step explanation:

-1,6 is -1 left 6 up

1,-6 is 1 right -6 down

6,-1 is 6 right -1 down

3 0

3 years ago

If the measure of DAC is x and the measure of CAB is (2x – 30), what is the value of x? (HINT** remember how we label angles, th

Scorpion4ik [409]

Answer:

b

Step-by-step explanation:

∠ BAD = 90° and

∠ DAC + ∠ CAB = ∠ BAD, that is

x + 2x - 30 = 90

3x - 30 = 90 ( add 30 to both sides )

3x = 120 ( divide both sides by 3 )

x = 40 → b

6 0

2 years ago

The width of a rectangle is 2 less than its length. If the perimeter of the rectangle is no more than30 centimeters, find the ra

arlik [135]

If this is what u are asking for 240 is what i got for the answer

4 0

3 years ago

Answer please i am literally crying because i will get in trouble if i dont do it

alekssr [168]

Convert percentages to units.
100% - 20% = 80% = 0.8
100% - 25% = 75% = 0.75

Then multiply those together:
0.8*0.75=0.6=60%

100% - 60% = 40%. That's the overall price percentage reduction.

P.S. You can convert percentages to units by diving % by 100 for example 100% divided by 100 is equal to 1.
And vice versa aka multiply units by 100 and you get %, for example 0.8 times 100 is 80%

3 0

3 years ago

Read 2 more answers

9 Factory? – 5y – 24 A (y + 3)(y +8) B (y - 3)(y-8) © (y+3)(y-8) D (y - 3)(y+8)