In quadrilateral ABCD, AC = x +5 and BD = 2x-12 For what value of x is ABCD a rectangle?
1 answer:
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We want to solve the inequalities
x < 2
y ≤ 4x + 1
<span>Graph </span>the lines:
x = 2
y = 4x +1
The solution to the system of inequalities is the shaded region shown in the graph below.
Test the given points to see whether they fall within the solution region.
Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail
Answer: (=3, -15)
x < 2
y ≤ 4x + 1
<span>Graph </span>the lines:
x = 2
y = 4x +1
The solution to the system of inequalities is the shaded region shown in the graph below.
Test the given points to see whether they fall within the solution region.
Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail
Answer: (=3, -15)