The answer is: [A]: He did not apply the distributive property correctly for 4(1 + 3i) .
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Explanation:
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Note the distributive property of multiplication:
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a*(b+c) = ab + ac.
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As such: 4*(1 + 3i) = (4*1) + (4*3i) = 4 + 12i ;
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Instead, Donte somehow incorrectly calculated:
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4*(1 + 3i) = (4*1) + 3i = 4 + 31; (and did the rest of the problem correctly);
Note: - (8 - 5i) = -8 + 5i (done correctly;
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So if Donte did not apply the distributive property correctly for 4*(1+3i)—and incorrect got 4 + 3i (as mentioned above); but did the rest of the problem correctly, he would have got:
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4+ 3i - 8 + 5i = -4 + 8i (the incorrect answer as stated in our original problem.
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This corresponds to: "Answer choice: [A]: <span>He did not apply the distributive property correctly for 4(1 + 3i)."
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The answer to this question is 0
(-2, 2) multiplied by 2.5 is given by 2.5(-2, 2) = (-5, 5)
while (2, 1) multiplied by 2.5 is given by 2.5(2, 1) = (5, 2.5)
Answer: Angelo is 13 years old.
Aaron is 15 years old
Alfred is 34 years old
Step-by-step explanation:
Let x represent the age of Angelo.
Let y represent the age of Aaron.
Let z represent the age of Alfred
The sum of three guys ages is 62. It means that
x + y + z = 62 - - - - - - - - - - -1
Angelo is two years younger than Aaron. It means that
x = y - 2
Alfred is four years older than twice Aaron's age. It means that
z = 2y + 4
Substituting x = y - 2 and z = 2y + 4 into equation 1, it becomes
y - 2 + y + 2y + 4 = 62
4y + 2 = 62
4y = 62 - 2 = 60
y = 60/4 = 15
x = y - 2 = 15 - 2
x = 13
z = 2y + 4 = 2 × 15 + 4
z = 34
