Answer:
See attachment
Step-by-step explanation:
We want to graph the system
2x+y=8
-x+2y=6
Let us rewrite the lines in slope intercept form:
y=-2x+8
The first line has a slope of -2 and a y-intercept of 8
The second line has a slope of 1/2 and a y-intercept of 3
We can no graph the lines as shown in the attachment.
18 meters by 14 meters
Step-by-step explanation:
18 meters by 14 meters
Area of rectangle is base times height (AKA length times width or however you wish to call the dimensions).
This question is a system of equations question. We can make two equations. We know that every rectangle must have 2 "lengths" and 2 "widths" (4 sides in a rectangle). Since Maria only has 64 meters of fencing, we get the equation:
2L+2W = 64
Now we know the area enclosed must be 252 so we have:
L* W = 252
Rewriting the second equation we get:
Plug this into first equation to get:
(multiply everything by L)
Solving the quadratic tells us L can be 18 or 14. Let's consider if L is 18 first by plugging 18 back into the second equation to get 18 * W = 252 which gives us W = 14. If we do the same for when L = 14, we get that W = 18.
Now you might wonder why we have 2 possible combinations, that's because in reality, it doesn't matter which one we label as length (L) or width (W).
Answer:
They have 69 cookies left.
Step-by-step explanation:
7 x 14 = 98
98 - 29 = 69
Answer:
True.
Step-by-step explanation:
Volume of a cylinder = π r^2 h where h = height and π r^2 = the base area.
Volume / height = π r^2 h / h = π r^2 = base area.
Simply put, it says that the numbers can be added in any order, and you will still get the same answer. For example, if you are adding one and two together, thecommutative property<span> of addition says that you will get the same answer whether you are adding 1 + 2 or 2 + 1. This also works for more than two numbers.</span>
