5
because distance formula gets you square root of 25 which is 5
A line that is parallel to a side and intersects the other two siddes divides the sides proportionally.
Set up the proportion
2/x+1 = x/x+6
Multiply means and extremes
2x+12= x^2+ x
Solve to get your answer.
9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Corresponding sides are proportional.
BE/CD = AE/AD
20/(3x+8) = (x-1)/(x-1+27)
20(x+26) = (3x+8)(x -1)
In standard form, this is ...
3x^2 -15x -528 = 0
x^2 -5x -176 = 0 . . . . . . divide by 3
(x -16)(x +11) = 0 . . . . . . . factor
x = 16
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This is the positive value that makes the product zero. x=-11 will also make the product 0, but gives negative segment lengths in the geometry. It is an extraneous solution.
=2(5x2+20x-1)
The 2 by the x has to be on top of the x
Answer:
See attached diagram
Step-by-step explanation:
Graph the solution of the inequality 
First, draw the dotted line 
(dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).
Graph the solution of the inequality 
First, draw the solid line 
(solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).
The intersection of both regions is the solution of the system of two inequalities.
