Answer:
Part 1 : 
Part 2 :
w=6
l = 10
Step-by-step explanation:
Part 1:
Let the width of the rectangle = w
Length of the rectangle = w + 4
Area of the rectangle is given as
60 Sq Yrds
Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.
Part 2:
(w+10)(w-6)= 0
either (w+10) = 0
or
(w-6)=0
or both are zero
(w+10) = 0 ⇒ w = -10
not possible as the dimension can not be 0
(w-6)=0 ⇒ w=6
Hence the width is 6 yards
And thus the length will be 6+4 = 10 yards
Answer: System 1 has an infinite number of solutions and System II has no solutions.
Step-by-step explanation:
If we look at system 1, we see that if we multiply the first equation by 2 and subtract the y value so that its on the same side as x, the equations are the same. That means that no matter the x or y value, it will be a solution.
If we look at system 2, however, we see that if we multiply the top equation by 3, the equations are the exact same except for the fact that the top equation has a -21. This means that no matter the x or y, there will never be a solution.
5x + y = 27
substitute: 5x + 4x = 27
combine: 9x = 27
divide (by 9): x = 3
Answer:
4
Step-by-step explanation:
The x coordinate is the same so the distnce is only the difference in y
5 - 1 = 4
