Answer:
D = 6.71
Step-by-step explanation:
The distance formula is
Decide which point will be Point 1 and Point 2.
Point 1: ( 1,3 ) x₁ = 1 y₁ = 3
Point 2: (-2, 9) x₂ = -2 y₂ = 9
Substitute the information into the formula.
Simplify within the brackets
Square each number
Add
Exact answer as a radical (root number)
Answer in decimals
Rounded answer to nearest hundredth
The nearest hundredth is the second place value. It rounds up because the value after it is "8", which is greater than 4.
The distance between the points (1, 3) and (-2, 9) can be found using the distance formula in geometry. The entire sequence of calculation results in the square root of 45 which, rounded to the nearest hundredth, would be approximately 6.71.
The distance formula is a tool in geometry that can be used to find the distance between two points in a coordinates plane. Given two points (x1, y1) and (x2, y2), the formula is:
Distance = sqrt((x2-x1)² + (y2-y1)²)
Applying this formula to find the distance between the points (1, 3) and (-2, 9) would look like this:
Distance = sqrt(((-2)-1)² + (9-3)²)
Distance = sqrt((-3)² + 6²)
Distance = sqrt(9 + 36)
Distance = sqrt(45)
Then, if we round to the nearest hundredth, the distance would be approximately 6.71.
#SPJ3
200 in2
B.
180 in2
C.
90 in2
D.
50 in2