Answer:
Step-by-step explanation:
The standard form of a quadratic equation is 
The vertex form of a quadratic equation is 
The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.
To find the h-value of the vertex, you use the following equation:
In this case, our quadratic equation is 
. Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.
⇒ 
Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is
⇒ 
⇒ 
⇒ 
This y-value that we just found is our k-value.
Next, we are going to set up our equation in vertex form. As a reminder, vertex form is:
a: 1
h: 3
k: -25
Hope this helps!
Answer:
Some of the 50 students should have been assigned to a control group that used the in-person course
Step-by-step explanation:
A parallelogram is a quadrilateral or a flat shape with opposite sides parallel. Squares, Rhombuses, and Rectangles are few example of Parallelogram.
Explanation:
There are six important properties of a parallelograms:
- The opposite side of a parallelogram is always equal.
- The opposite angle of a parallelogram are congruent.
- The consecutive angles of a parallelogram are supplementary.
- In a parallelogram if one angle is right then all the angles are right.
- The diagonals of parallelogram bisect each other.
- Each diagonal of a parallelogram separates it into two congruent triangle.
The answer to the above question is (D) Diagonals Congruent
