The complete question is:
Trapezoid JKLM is shown below.
What is the length, in centimeters, of KL ?
A. 12 cm
B. 10 cm
C. 9 cm
D. 6 cm
The mentioned figure is attached.
Answer:
Explanation:
1. KL is the hypotenuse of a right triangle; hence, you can use Pythagora's theorem to find its length.
2. The height 8 cm is one leg of the right triangle.
3. The other leg may be found by difference:
4. Now you can use Pythagora's theorem:
Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.
<h3>What is a Quadratic Equation?</h3>A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,
As we can see that the value of constants are,
a = 6
b = -31
c = 30
Therefore, the factors of the trinomial are (6x+5) and (x-6).
If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.
Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.
Learn more about Quadratic Equation: