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<u>Answer:</u>
The factorization of given expression is (x + 9i)(x – 9i) and option d is correct.
<u>Solution:</u>
Given, expression is
We have to factor it in the complex numbers.
Let us check options to find answer.
<em><u>A) (x – 9)(x – 9) </u></em>
(x – 9)( x – 9)
So, this is not correct answer.
<u><em>B) (x + 9)(x + 9) </em></u>
So, this is not correct answer.
<u><em>C) (x + 9i)(x + 9i)
</em></u>
So, this is not correct answer.
<u><em>D) (x + 9i)(x - 9i)
</em></u>
Thus option D is correct
Hence, the factorization of given expression is (x + 9i)(x – 9i). and option d is correct.
Answer:
4 ducks
12 chickens
Step-by-step explanation:
Ducks to Chicken (ducks : chicken) ratio
= 1 : 3
Ducks to Chicken ratio, if chickens = 12
= ? : 12
1 : 3 = ? : 12
Find the scale factor of the ratios by dividing the number of chickens to the ratio of chickens.
12 ÷ 3 = 4
To find the number of ducks, multiply the ratio of ducks by the scale factor.
1 X 4 = 4
Therefore, there are 4 ducks and 12 chickens on the farm.
Ratios can also be written like fractions. Use this to check the answer:
1/3 = 4/12
4/12 can be reduced by dividing both the top and the bottom by 4.
4/4 = 1 Same as original ratio top
12/4 = 3 Same as original ratio bottom
Answer:
it's c
Step-by-step explanation:
Step-by-step explanation:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).