Answer:
Step-by-step explanation:
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We see that points A and B are on the same horizontal line, and and they are 10 units apart. C and D are on their own horizontal line and they are also 10 apart. This means that this is a square, so we multiply one side by itself
10²=100
The area is 100 square units.
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3/(3 - 12i)
To simplify this, multiply both sides by (3 + 12i)
(3 - 12i)(3 + 12i)
<em><u>Distributive property.</u></em>
3(3 + 12i) - 12i(3 + 12i)
9 + 36i - 36i - 144i^2
<em><u>Simplify.</u></em>
9 - 144i^2
i^2 can be interpreted as -1.
9 + 144
<em><u>Combine like terms.</u></em>
153 is the simplified version of the bottom half of the expression.
Now for the top half.
3(3 + 12i)
<em><u>Distributive property.</u></em>
9 + 36i
We can simplify this further by factoring.
3(3 + 12i)/153
1 + 4i/17
1/17 + 4i/17 is the simplified version of the expression. (This is your answer.)
Let me know if you have any other questions.
$1.60 = 1/2 a pound
$1.60 x 2 = 1 pound
$3.20 = 1 pound
$64.00 / $3.20 = 20 pounds
You can buy 20 pounds of grapes for $64.00 .
The answer would be 399.
First you'd find 5% of 380.
To get a decimal point for 5% you just need to move the percent sign twice to the left.
5% ➡ .05
Now multiply .05 with 380
380 × .05 = 19
Since you're finding the increase of 5% along with 380 you add it together
380 + 19 = 399
