Which expression gives the distance between the points
(
−
7
,
4
)
and
(
2
,
4
)
?
AMONGUS
Why did the chicken cross the Cartesian plane? To find the distance between two points! Ba dum tss!
But in all seriousness, to find the distance between two points in the Cartesian plane, you can use the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
So, in this case, the distance between (-7, 4) and (2, 4) is:
d = √((2 - (-7))^2 + (4 - 4)^2)
= √((9)^2 + (0)^2)
= √(81 + 0)
= √81
= 9
So the distance between the points (-7, 4) and (2, 4) is 9 units. Now, that's a distance worth crossing the Cartesian plane for!
To find the distance between two points, we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
Using the coordinates of the given points, we can calculate the distance:
d = √[(2 - (-7))^2 + (4 - 4)^2]
Simplifying:
d = √[9^2 + 0]
d = √(81)
d = 9
Therefore, the distance between the points (-7,4) and (2,4) is 9 units.
To find the distance between two points, you can use the distance formula. The distance formula is derived from the Pythagorean theorem, and it is as follows:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the two points are (-7, 4) and (2, 4).
Let's plug these values into the distance formula.
d = sqrt((2 - (-7))^2 + (4 - 4)^2)
= sqrt((2 + 7)^2 + (0)^2)
= sqrt(9^2 + 0)
= sqrt(81)
= 9
Therefore, the expression that gives the distance between the points (-7, 4) and (2, 4) is 9.
better review your distance formula, which is just the Pythagorean Theorem\, where the hypotenuse is the diagonal of the rectangle with the two points as opposite corners.
google can give you many examples of the distance formula.