Enter your answer and show all the steps that you use to solve this problem in the space provided. Find the distance between points M(6,16) and Z(−1,14) to the nearest tenth.
To find the distance between points M(6,16) and Z(−1,14), we can use the distance formula. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the values into the formula:
d = √(((-1) - 6)^2 + (14 - 16)^2)
Simplifying the equation:
d = √((-7)^2 + (-2)^2)
d = √(49 + 4)
d = √53
To the nearest tenth, the distance between points M(6,16) and Z(−1,14) is approximately 7.3.
To find the distance between two points, M(6,16) and Z(-1,14), you can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Here, x1 = 6, y1 = 16, x2 = -1, and y2 = 14. Substituting these values into the formula, we get:
d = sqrt((-1 - 6)^2 + (14 - 16)^2)
Simplifying:
d = sqrt((-7)^2 + (-2)^2)
d = sqrt(49 + 4)
d = sqrt(53)
To the nearest tenth, the distance between points M and Z is approximately 7.3.
To find the distance between two points on a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, we have the coordinates of two points: M(6,16) and Z(-1,14). Let's substitute these values into the formula.
distance = √((-1 - 6)^2 + (14 - 16)^2)
First, let's simplify the terms inside the square root.
distance = √((-7)^2 + (-2)^2)
Now, evaluate the squares.
distance = √(49 + 4)
Combine the terms inside the square root.
distance = √53
Finally, find the square root.
distance ≈ 7.3 (rounded to the nearest tenth)
Therefore, the distance between points M(6,16) and Z(-1,14) is approximately 7.3.