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3 years ago

Determine if the ordered pair satisfies the equation 2x - 3y = 6 a) (6,2) b) (3,-2)

Mathematics

2 answers:

neonofarm [45]3 years ago

8 0

A (6,2)

when plugged in for the x and y values it works

Goshia [24]3 years ago

6 0

a)    2x - 3y = 6
   2(6) - 3(2) = 6
     12 - 6     = 6
                  6 = 6
Therefore, (6,2) is a solution to <span>2x - 3y = 6.

</span><span>b)    2x - 3y = 6
2(3) - 3(-2) = 6
        6 + 6 = 6
                12 ≠ 6
Therefore, (3,-2) is not a solution to </span><span>2x - 3y = 6.</span>

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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:
$\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
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\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}$

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

A flashlight has 7 batteries, 5 of which are defective. If 5 are selected at random without replacement, find the probability th

TEA [102]

71.4 % chance I think is your answer.

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3 years ago

How can you write 200,000 using a whole number and a power of 10

jeka94

Hey!

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Question Explanation:

In other words you can write 200,00 using a whole number and a power 10 using scientific notation!

In scientific notation you want a number less than 10 multiplied by 10 to the power of a number.

-----------------------------------

Solution:

200,000 / 10 = 20,000

20,000 / 10 = 2,000

2,000 / 10 = 200

200 / 10 = 20

20 / 10 = 2

I divided 200,000 by 10 five times to get a number less than 10.

So, 5 is going to be the exponent.

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Answer:

2 x 10^5

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Hope This Helped! Good Luck!

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3 years ago

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Anika [276]

Answer:

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Step-by-step explanation:

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2 years ago

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Vladimir [108]

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2 years ago

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