Answer:
D(6, 3)
Step-by-step explanation:
The diagonals of a rectangle bisect each other, so the midpoint of AC is the same as the midpoint of BD. This means ...
(A +C)/2 = (B +D)/2 . . . . the midpoints are the same
A +C = B +D . . . . . . . . . multiply by 2
D = A +C -B = (2+5-2, 1+5-3) . . . . . solve for D, substitute given coordinates
D = (6, 3)
Answer:
Step-by-step explanation:
Draw a diagonal (line segment from one corner to the opposite corner). You'll form two right triangles with the diagonal being the hypotenuse of both triangles.
Use the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2.
Let h represent the length of the hypotenuse.
The question is just a bit vague. It should say opposite corners. I'm assuming the question does not mean the length of one side!
Answer:
y = -(3/7)x + 2
Step-by-step explanation:
(see attached)
recall that the slope-intercept form of a linear equation is
y = mx + b
where m = slope = given as -(3/7)
and b = y-intercept = 2
substituting these values into the eqation:
y = mx + b
y = -(3/7)x + 2
