Answer:
AB = 7
Step-by-step explanation:
The y-coordinate of point A and B is the same.
Therefore, both points lie on the same horizontal line (y = 2).
So determine the distance between them, subtract the x-coordinate of B from the x-coordinate of A:
AB = 4 - -3 = 4 + 3 = 7
However, to calculate the distance between 2 points, regardless if the points are on a horizontal (or vertical) line, you can always use the distance between 2 points formula that is derived from Pythagoras' Theorem, as follows:
let
= point A (4, 2)
let
= point B (-3, 2)
using the distance between two points equation:





*Edited to add a plot diagram*
The point of intersection is the midpoint of the diagonal. The diagonals of a rectangle are the same length. These relationships tell you
2*AE = DB
2*(4x-12) = 7x-18 . . . . . substitute the given information
8x -24 = 7x -18 . . . . . . .eliminate parentheses
x - 24 = -18 . . . . . . . . . .subtract 7x
x = 6 . . . . . . . . . . . . . . . add 24
The value of x is 6.
Answer:
The fraction form of 33% is 1/3
The answer is miles. I'll use decimals in my explanation.
23.25 divided by 0.2 equals 116.25
116.25 multiplied by 65 equals 7556.25
7556.25 divided by 5280 equals 1.43110795455
Rounded to the nearest tenth that's 1.4
Hope it helped.