Answer:
see explanation
Step-by-step explanation:
Inequalities of the type | x | > a, always have solutions of the form
x < - a or x > a
This can be extended to expressions, that is
14 - 5x < - 8 OR 14 - 5x > 8 ( subtract 14 from both sides of both inequalities )
- 5x < - 22 OR - 5x > - 6
Divide both sides by - 5 , reversing the inequality sign as a consequence
x > OR x <
That is the solution is
x < OR x >
Answer:
Length:8 m
Width:3 m
Step-by-step explanation:
<u><em>The complete question is</em></u>
If the perimeter of a rectangle is 22 meters, and the perimeter of a right triangle is 12 meters (the sides of the triangle are half the length of the rectangle, the width of the rectangle, and the hypotenuse is 5 meters). How do you solve for L and W, the dimensions of the rectangle.
step 1
<em>Perimeter of rectangle</em>
we know that
The perimeter of rectangle is equal to
we have
so
Simplify
-----> equation A
step 2
Perimeter of triangle
The perimeter of triangle is equal to
so
Multiply by 2 both sides
----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (8,3)
see the attached figure
therefore
The dimensions of the rectangle are
Length:8 m
Width:3 m
