Solve 400, -150 - ScanMath

Question

Find the distance

d = 550

Calculate

400, - 150

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

400 + 0 \times i, - 150

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

400 + 0 \times i, - 150 + 0 \times i

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

(400, 0), (- 150, 0)

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

d = (400 - (- 150))^{2} + (0 - 0)^{2}

Solution

More Steps

Calculate

(400 - (- 150))^{2} + (0 - 0)^{2}

Subtract the terms

More Steps

Simplify

400 - (- 150)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

400 + 150

Add the numbers

550

55 0^{2} + (0 - 0)^{2}

Subtract the terms

55 0^{2} + 0^{2}

Calculate

55 0^{2} + 0

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

55 0^{2}

Reduce the index of the radical and exponent with 2

550

d = 550

Show Solution

Midpoint

Midpoint = (125, 0)

Calculate

400, - 150

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

400 + 0 \times i, - 150

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

400 + 0 \times i, - 150 + 0 \times i

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

(400, 0), (- 150, 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{400 - 150}{2}, \frac{0 + 0}{2})

Calculate

More Steps

Calculate

\frac{400 - 150}{2}

Subtract the numbers

\frac{250}{2}

Reduce the numbers

\frac{125}{1}

Calculate

125

Midpoint = (125, \frac{0 + 0}{2})

Solution

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 = (125, 0)

Show Solution