What do you notice about the two lines?
They are perpendicular lines.
What do you notice about the equations for the two lines?
They are opposite of each other.
The answer is 2
RISE OVER RUN! :)
Answer: <span>-x2 + 120x = 1,800
</span><span>
She plans on using the side of the barn as one side of her paddock so it has 3 sides. Since the width is shorter, it will be more efficient to have 2 widths (1 lengths and 2 widths). Because J</span><span>ill has 120 feet of fencing to use, you can get this equation:
120ft= 1L +2W
</span>1L= 120-2W
If you insert it into area formula it would be:
area= L*W
area= (120-2W) *W
area= 120W- 2W^2
-2W^2+120W= area
<span>Since x represent the width of the paddock and the area is 1800 the equation become
</span>-2X^2+120X= 1,800
By solving a system of equations, we will see that you must use 6.67 pounds of chocolate-covered almonds.
<h3>
How to solve the system of equations?</h3>
First, we need to define the two variables:
- x = number of pounds of the $9.99 chocolate-covered almonds used.
- y = number of pounds of the $5.99 chocolate-covered raisins used.
If we mix that, we will get:
x*$9.99 + y*$5.99 = (x + y)*C
That equation means that the cost of the individual elements of the mixture, must be equal to the total cost of the mixture. Where C is the cost of each pound of the mixture, and we know that:
C = $8.75
y = 3
Replacing that, we get:
x*$9.99 + 3*$5.99 = (x + 3)*$8.75
Now we can solve that for x:
x*$9.99 - x*$8.75 = 3*$8.75 - 3*$5.99
x*$1.24 = $8.28
x = $8.28/$1.24 = 6.67
Then you must use 6.67 pounds of the chocolate-covered almonds.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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You can't put it in simplest form 13 can't go lower evenly
