In order to factorate the trinomial, let's first find its roots using the quadratic formula:
![\begin{gathered} b^2-4ac=12^2-4\cdot4\cdot9=144-144=0 \\ x_1=x_2=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}=\frac{-12+0}{2\cdot4}=-\frac{12}{8}=-\frac{3}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%5E2-4ac%3D12%5E2-4%5Ccdot4%5Ccdot9%3D144-144%3D0%20%5C%5C%20x_1%3Dx_2%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%3D%5Cfrac%7B-12%2B0%7D%7B2%5Ccdot4%7D%3D-%5Cfrac%7B12%7D%7B8%7D%3D-%5Cfrac%7B3%7D%7B2%7D%20%5Cend%7Bgathered%7D)
Now we can write the trinomial in the form:
So we have that:
So 2x + 3 is a factor of the trinomial, therefore the answer is D.
Answer: hello there here is your answer:
17.5 feet
Step-by-step explanation:
Area of rectangle = Length x Width
Length = Area/Width = 122.5 / 7 = 17.5 feet
hope this helps
have a god day bye
Answer:
40% increase
Step-by-step explanation:
First, find the difference:
161-115=46
Then divide by the past price to get the percent increase:
46/115=.4=40%
Solution: $50
Step by step: you can set up the equation that 120%x=60, but for it to be easier you can just change 120% to 1.2 (one whole and 2 tenths or 120) to get the equation 1.2x=60, then to find x just do the algebra
1.2x=60
x=60/1.2
x=50
Answer:
Step-by-step explanation:
The triangle is a right triangle.
We can use trigonometric functions to solve.
