The answer is -16 - 10i.
Using the distributive property on the first part, we have:
-2i*7--2i*4i + (3+i)(-2+2i)
-14i+8i² +(3+i)(-2+2i)
Using FOIL on the last part,
-14i+8i²+(3*-2+3*2i+i*-2+i*2i)
-14i+8i²-6+6i-2i+2i²
-10i+8i²-6+2i²
Since we know that i = -1,
-10i+8(-1)-6+2(-1)
-10i-8-6-2
-16-10i
Answer:
48 cupcakes were put on the plates.
Step-by-step explanation: 6 x 8 = 48
I hoped this answer helped you solve your problem!
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ANSWER: x = 130°
EXPLANATION: You must add given angles and then subtract from 180°.
A = Sock's weight
b = Princess' weight
c = Luna's weight
a : b = 4 : 5
b : c = 6 : 7
at this point, we have to change the 2 ratios (a : b and b : c) into one ratio (a : b : c)
to do that, we have to change the ratio number so the number b in both ratio is the same
a : b = 4 : 5 = 24 : 30
b : c = 6 : 7 = 30 : 35
From that we can conclude that
a : b : c = 24 : 30 : 35
Since we're looking for the ratio of Sock's weight to Luna's weight, it will be
a : c = 24 : 35
Answer: The numbers are 1 and 3.
Step-by-step explanation:
Let x = smaller number , y= larger number.
As per given,
...(i)
...(ii)
Put value of x from (i) in (ii)

Since numbers are positive , so y=3 is correct.
And x will be 1 [from (i)]
Hence, the numbers are 1 and 3.