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# Tutor profile: Carlyn T.

Carlyn T.
Tutor with 20+ years experience, former classroom teacher

## Questions

### Subject:Pre-Calculus

TutorMe
Question:

Multiply (1+4i)(5+i). Write the answer in a+bi form.

Carlyn T.

1.) Similar to multiplying two binomials, multiply these two complex numbers by multiplying each term in the first parenthesis by each term in the second as follows: (1)(5) + (1)(i) + (4i)(5) + (4i)(i) 2.) Simplify: 5 + 1i + 20i + $$4i^2$$ 3.) Simplify further by combining like terms: 5 + 21i + $$4i^2$$ 4.) Since $$i^2$$ = -1, substitute to obtain the desired form, a+bi : 5 + 21i + 4(-1) 5.) Simplify: 5 + 21i - 4 6.) Combine like terms: 1 + 21i

### Subject:Pre-Algebra

TutorMe
Question:

Describe a real-world problem that could be solved with the expression (2+3)×6?

Carlyn T.

Josh ran 2 miles in the morning and 3 miles in the afternoon. He did this for 6 days. How many miles did he run?

### Subject:Algebra

TutorMe
Question:

7 - $$\frac{10}{x}$$ = 2 + $$\frac{15}{x}$$

Carlyn T.

1.) Begin by multiplying both sides of the equation by x to fix the problem of x's in the denominator. x(7 - $$\frac{10}{x}$$ ) = x (2 + $$\frac{15}{x}$$) 2.) Simplify by distributing the x to (multiplying it by) everything inside as follows: 7x - 10 = 2x + 15. 3.) Subtract 2x from both sides to isolate the variable on one side. 7x (-2x) - 10 = 2x (-2x) + 15 4. Simplify as follows: 5x - 10 = 15 5.) Add 10 to both sides to isolate the constant on one side opposite the variable. 5x - 10 (+10) = 15 (+ 10) 6.) Simplify as follows: 5x = 25 7.) Divide both sides by 5 to isolate the variable. $$\frac{5x}{5}$$ = $$\frac{25}{5}$$ 8.) Simplify as follows: x = 5

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