<u>Answer:</u>
Quadratic expression
<u>Step-by-step explanation:</u>
We are given a rectangle with the dimensions and .
We know that:
<em>Area of a rectangle = length x width</em>
Therefore, we will put in the given values of the length and width of the rectangle to find it area.
Area of rectangle =
=
=
So we can say that the area of this rectangle is represented by a quadratic expression.
Answer:
1
Step-by-step explanation:
Answer:
-4n³ - 8n² - 4n
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
The formula to find slope is y - y all over x - x or (y-y)/(x-x)
Let's start with the y's: 10 - (-2) = 12
Now the x's: 2 - (-6) = 8
12/8 or 3/2 is the slope
Answer:
The Solution of the equation is
x= 5 ±
Step-by-step explanation:
We are supposed to find the solution of the equation by completing square method
our given equation is
2x² + 20x + 10 = 0
Dividing whole equation by 2
we will get
x² + 10 x + 5 = 0
Now we will write the middle term in factor form to see what we will be needing to make it perfect square
it would be written as
x² + 2(5) x + 5 = 0
Now adding 20 on both sides we get
x² + 2(5) x + 5 + 20 = 20
x² + 2(5) x + 25 = 20
(x)² + 2(5) x +(5)² = 20
Now we have the form of a²+2(a)(b) + b²
And also we know that
a²+2(a)(b) + b² = (a+b)²
So our equation becomes
(x+5)² = 20
Taking square root of both sides it becomes
square cuts out with square root so
it becomes
x+5 = ±
We know that
So it becomes
x+5 =±
Subtracting 5 from both sides
it becomes
x= 5 ±
So
The Solution of the equation is
x= 5 ±