Answer:
Step-by-step explanation:
We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:
where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:
- x₁= -5
- y₁= 4
- x₂= 6
- y₂ = -3
Substitute the values into the formula.
Solve inside the parentheses.
- 6--5 (Back to back negative signs become a positive)= 6+5 =11
- -3-4= -7
Solve the exponents.
- (11)²= 11*11= 121
- (-7)²= -7*-7= 49
Add.
Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.
- 13.03<u>8</u>4048104
The length of the segment is <u>√170</u> or approximately <u>13.04. </u>