A.(2,1)
1 answer:
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)
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Answer:
<h2>C. infinity many</h2>Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
If the equations have the same slopes and the same y-intercepts, then the system of equations has infinitely many solutions.
If the equations have the same slopes and differences of the y-intercepts, then the system of equations has no solution.
If the equations have different slopes, then the system of equations has one solution.
We have
→ m = -6 and b = 3
and
convert to the slope-intercept form:
<em>subtract 30x from both sides</em>
<em>divide both sides by 5</em>
→ m = -6 and b = 3
<em>We have the same slopes and the same y-intercepts.</em>