If the diagonals of the parallelogram intersect with each other, this means that the diagonals bisect each other. Thus,
AE = CE
Substituting the equations,
2x² - 3x = x² + 4
The values of x from the equation are equal to 4 and -1.
AE = 2(4)² - 3(4) = 20
Hence, AC is equal to 40.
Answer: 40 units
Yes you can use the discriminant of a quadratic/polynomial. For instance, if

there is one real root. If

there are two real roots and i

there are no real roots
The discriminant comes from the quadratic equation, which is the following.
Answer:
8 3/4 cups of sugar
Step-by-step explanation:
1 batch of chocolate chip cookies ↔ 2 1/2 cups of sugar
3 1/2 batch of chocolate chip cookies ↔ 3 1/2 * 2 1/2 cups of sugar
3 1/2 * 2 1/2 = 7/2 * 5/2 = 35/4 = 8 3/4 = 8.75
Answer:

The beginning balance of Sophie's account is 75
Step-by-step explanation:
Using the slope intercept form aka 
The slope of a line describes how steep a line is.
- We can see that the y-axis goes up by 25.
- 25, 50, 75, 100, 125, 150 etc
<u>$ is how much you have in your bank account.</u>
<em>We can see that Sophie starts off with 75 dollars.</em>
In the first week, we see that Sophie has 100 dollars. In the second week, we see that Sophie has 125.
<h3>how to find the slope</h3>

The first week (1, 100)
The second week (2,125)

<em></em>
Answer:
-168
Step-by-step explanation:
8 × -7 × 3
-56 × 3
-168