Find the distance between points M(6,16) and Z(-1,14), round to the nearest tenth
To find the distance between two points, we use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, M(6,16) has coordinates x1 = 6 and y1 = 16, and Z(-1,14) has coordinates x2 = -1 and y2 = 14. Plugging these values into the formula, we have:
d = √((-1 - 6)^2 + (14 - 16)^2)
Calculating this expression:
d = √((-7)^2 + (-2)^2)
d = √(49 + 4)
d = √(53)
Approximating √53 to the nearest tenth:
d ≈ √53 ≈ 7.28
Therefore, the distance between points M(6,16) and Z(-1,14) is approximately 7.3 units when rounded to the nearest tenth.
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between points M(6,16) and Z(-1,14):
x1 = 6
y1 = 16
x2 = -1
y2 = 14
Substituting these values into the distance formula:
d = sqrt((-1 - 6)^2 + (14 - 16)^2)
= sqrt((-7)^2 + (-2)^2)
= sqrt(49 + 4)
= sqrt(53)
Rounding this result to the nearest tenth, the distance between points M(6,16) and Z(-1,14) is approximately 7.3.