Answer:
3y +9 = perimeter
Step-by-step explanation:
The inequalities that are given in this item are given below,
y < 5x - 1
y ≥ -3x +4
We dropped the inequalities sign to solve for the values of x and y for the intersection.
y = 5x - 1
y = 3x + 4
Substituting the y from the first equation to the y of the second equation,
5x - 1 = 3x + 4
2x = 5
x = 5/2
Substituting for y,
y = (5)(5/2) - 1
y = 25/2 - 1 = 11.5
The intersection is (5/2, 11.5)
The solutions of the system of inequalities lie in the 3rd and 4th quadrants.
Answer:
c = 75 in
Step-by-step explanation:
The hypotenuse of a right triangle is found by the Pythagorean theorem:
<em>a² + b² = c²</em> (a and b are the legs, c is the hypotenuse)
Plug in: <em>45² + 60² = c²</em>
Square + square root: √(2025 + 3600) = c
Add: √5625 = c
Square root: 75 in = c (no negatives because we are finding distance)
You will have 2 equations.
30x+20y=1100
and
x+y=45
by putting it into standard form
-(30/20)x+55=y
you can now solve finding the answer to be 20 for x and 25 for y.
Plug it into the original equation to find it correct and then plug it into x+y
20+25=45
30*20+25*20=1100
