Solve 9i;0 - ScanMath

Question

Find the distance

d = 9

Calculate

9 i, 0

Rewrite the complex number in standard form

0 + 9 i, 0

Any real number can be written as a complex number with the imaginary part 0

0 + 9 i, 0 + 0 \times i

The complex number for a+bi can be represented as an ordered pair (a,b)

(0, 9), (0, 0)

The distance between the points (a,b) and (s,t) in the complex plane is d = (s - a)^{2} + (t - b)^{2}

d = (0 - 0)^{2} + (9 - 0)^{2}

Solution

More Steps

Calculate

(0 - 0)^{2} + (9 - 0)^{2}

Subtract the terms

0^{2} + (9 - 0)^{2}

Calculate

0 + (9 - 0)^{2}

Removing 0 doesn't change the value,so remove it from the expression

0 + 9^{2}

Add the numbers

More Steps

Evaluate

0 + 9^{2}

Removing 0 doesn't change the value,so remove it from the expression

9^{2}

Evaluate the power

81

81

Write the number in exponential form with the base of 9

9^{2}

Reduce the index of the radical and exponent with 2

9

d = 9

Show Solution

Midpoint = (0, \frac{9}{2})

Calculate

9 i, 0

Rewrite the complex number in standard form

0 + 9 i, 0

Any real number can be written as a complex number with the imaginary part 0

0 + 9 i, 0 + 0 \times i

The complex number for a+bi can be represented as an ordered pair (a,b)

(0, 9), (0, 0)

The midpoint between the points (a,b) and (s,t) in the complex plane is Midpoint= (\frac{a + s}{2}, \frac{b + t}{2})

Midpoint = (\frac{0 + 0}{2}, \frac{9 + 0}{2})

Calculate

More Steps

Calculate

\frac{0 + 0}{2}

Removing 0 doesn't change the value,so remove it from the expression

\frac{0}{2}

Divide the terms

0

Midpoint = (0, \frac{9 + 0}{2})

Solution

Midpoint = (0, \frac{9}{2})

Show Solution