Write a quotient 10/1+2i in the form a+bi I need help 20 points

The quotient 10/1+2i in the form a+bi is; 2-4i

According to the question;

To convert the expression to the form; a+bi.

We can do the following;

Multiply both the numerator and denominator by (1-2i); so that we have;

where i² = -1

Therefore, we have;

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2 - 4i

Step-by-step explanation:

Given the complex number  10/1+2i, to write this in the form a + bi, we will rationalize the function as shown;

= 10/1+2i * 1-2i/1-2i

= 10(1-2i)/(1+2i)(1-2i)

= 10-20i/(1-2i+2i-4i²)

= 10-20i/1-4(-1)

= 10-10i/1+4

= 10-20i/5

= 10/5 - 20i/5

= 2 - 4i

Hence the expression in the form a + bi is 2 - 4i

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.