The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.

$(\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})$

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).

x₁= 5
y₁= 4
x₂= -2
y₂= 1

Substitute these values into the formula.

$( \frac {5+ -2}{2}, \frac {4+1}{2})$

Solve the numerators.

5+ -2 = 5-2 = 3
4+1 = 5

$( \frac {3}{2}, \frac{5}{2})$

Convert the fractions to decimals.

$(1.5, 2.5)$

The midpoint of the line segment is (1.5 , 2.5)

3 0

3 years ago

90% of what number is 57

aliina [53]

To solve this, set up the equation, 90% of x being .9*x=57. Then, solve for x, x=57/.9= $6 \frac{1}{3}$ =6.333

4 0

3 years ago

2x=160, can you help me with this, and show steps?

Mars2501 [29]

Just divide both sides by 2 because you want to do the opposite operation, to isolate x so if you do you get 80 so x = 80

6 0

3 years ago

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