You simplify it by doing distributive property like this
(4+2i)(3-i) =12-4i+6i-2i2
now add common like numbers
12+2i-2i2
Now on the i that is squared change the i to a -1 and get this
12+2i+2
Now again add common like numbers and get
14+2i that would be your answer
hope this helped
Answer:
The measure of angle ∠ b is 68°.
Step-by-step explanation:
There are two angles ∠ a and ∠ b which are complementary.
Therefore, from the definition of complementary angles, we have
∠ a + ∠ b = 90°
Now, if the angle ∠ a is measured to be 22°, then
22° + ∠ b = 90°
⇒ ∠ b = 90° - 22°
⇒ ∠ b = 68°
Therefore, the measure of angle ∠ b is 68°. (Answer)
Answer:
3.3 for pepper and 2.7 for salt which is 6 tons in total
Step-by-step explanation:
We have been given that the painting is 3 times as long as it is tall.The expression 
represents the perimeter of the painting, where x represents the length of the short side of the painting in feet.
To find the the amount of framing needed when short side of the painting measures 2.6 feet, we will substitute 
in our given expression.
We can simplify our expression as:
Therefore, a total of 20.8 feet of framing is needed.
Answer:
34.54 units
Step-by-step explanation:
circumference of an entire circle is 2πr but since it's a semicircle it's half the actual circumference so the length of arc becomes πr... and here π= 3.14 while r= 11 hence circumference= πr= 3.14×11= 34.54
