The zeros of a quadratic equation are equal to the x-intercepts of its graph. In other words, you must find the x-value that causes the expression to equal zero. Start by adding 4 to both sides of the equation:
X² - 5x + 4 = 0
Factor the equation:
(x - 1)(x - 4) = 0
Now calculate each piece separately, starting with the first one:
x - 1 = 0
Add 1 to both sides of the equation:
x = 1
We have proven that x = 1. Now calculate the second piece:
x - 4 = 0
Add 4 to both sides of the equation:
x = 4
We have proven that x = 4. Consequently, we have proven that (x = 1) and (x = 4) are the two zeros of this quadratic equation.
I hope this helps!
B because when 9 is divided by 5 it cant be 1
Answer: 5
Step-by-step explanation:
The median is the middle number in the set.
{1, 2, 5, 6, 9} - there are five numbers.
The middle number is the 3rd one.
{1, 2, 5, 6, 9}
The median is 5.
5, 10, and 20. (This is your answer.)
5 + 10 + 20 = 35.
These numbers are also consecutive, meaning each comes after the other on a number-line.
Hope this helps!
Answer:
The area of the parallelogram is 
.
Step-by-step explanation:
Let's rewrite these two vectors:
Let's recall that the area of the parallelogram is the magnitude of the cross product between these vectors.
We can use the Determinant method to find it.
![u \times v=\left[\begin{array}{ccc}i&j&k\\1&-2&2\\0&3&-1\end{array}\right] = i((-2)*(-1)-2*3)-j(1*(-1)-2*0)+k(1*3-(-2)*0)=i(2-6)-j(-1)+k(3)=-4i+j+3k](https://tex.z-dn.net/?f=u%20%5Ctimes%20v%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C1%26-2%262%5C%5C0%263%26-1%5Cend%7Barray%7D%5Cright%5D%20%3D%20i%28%28-2%29%2A%28-1%29-2%2A3%29-j%281%2A%28-1%29-2%2A0%29%2Bk%281%2A3-%28-2%29%2A0%29%3Di%282-6%29-j%28-1%29%2Bk%283%29%3D-4i%2Bj%2B3k)
Now, the magnitude is the square root of each component squared. It will be:
Therefore the .
I hope it helps you!
