An account earns simple interest. Find the principal.
1 answer:
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Answer:
AC = { 4, 5, 6, 7 }
Step-by-step explanation:
If you see, the diagonal AC forms two triangles, Δ ABC, and Δ ADC. In Δ ABC, AC = 3 units and BC = 6 units, while AC is yet to be known. Respectively in Δ ADC, AD = 4 units and CD = 4 units, while AC is again yet to be known.
In both triangles the triangle inequality can help find the possible value( s ) of AD, as this inequality only restricts some of the possible values with which AC can take. At the same time AC is shared among the two triangles, so if we can apply the Triangle Inequality to both of these triangles, the value of AC can be " further restricted. "
And there we have two inequalities, 3 < AC < 9, and 0 < AC < 8. Combining both inequalities the only possible integer values for AC would be 4, 5, 6, and 7.
raAnswer:
x = 5
Step-by-step explanation:
Original equation = -
= 1
Remove square roots
+ 2x +1 = 4x +16
Subtract 16 from both sides
+ 2x +1 = 4x +16
-16 -16
---------------------------
+ 2x- 15= 4x
Subtract 4x from both sides
+ 2x - 15 - 4x= 4x - 4x
= - 2x - 15 = 0
THIS EQUATION HAS 2 rational roots. {x1,x2} = {5,-3}
CHECK THAT THE FIRST SOLUTION IS CORRECT (5)
Original equation, root isolated, after tidy up
=
Plug in 5 for x
=
Simplify
= 4
Solution checks !!
Solution is: x = 5
CHECK THAT THE SECOND SOLUTION IS CORRECT (-3)
Original equation, root isolated, after tidy up
=
Plug in -3 for x
=
Simplify
= 2
Solution does not check
0 ≠ 2
So, the answer is x = 5
<em>Hope this helps!</em>