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:
The factor form is 
Step-by-step explanation:
When it is required to factor the expression given in the problem, we have to first find a common term or terms, which will be found by either grouping the like terms or the splitting of the terms.
Now the expression that is given here is:
Now, here we will take:
Thus we will get:
Now we will do the middle term split as follows:
Substituting back , we will have:
Hence, the required factor form of the given expression will be:
Answer: 9.8 inches
Step-by-step explanation:
Since x = 2 inches
Rainfall in April = x inches = 2 inches
Rainfall in May = x + 1.3 = 2 + 1.3 = 3.3 inches
Rainfall in June = 2x + 0.5 = 2(2) + 0.5 = 4.5
Total rainfall = 2 + 3.3 + 4.5 = 9.8 inches
Answer:
b = -23.5
Step-by-step explanation:
4.7(3x - 5) = 14.1x - 23.5
<h3>Answer:</h3>
y = 28
<h3>Explanation:</h3>
The base angles of the isosceles triangle are congruent, so the sum of angles is ...
34° + 34° + 4y° = 180°
... 4y = 180 -68 . . . . . divide by °, subtract 68
... y = 112/4 = 28 . . . . divide by the coefficient of y
The value for y is 28.
_____
You have not asked about x in either figure.
<em>First figure</em>
Since the angles are congruent, the sides are congruent. Then ...
... 6x -3 = 5x
... x = 3 . . . . . . add 3-5x
<em>Second figure</em>
The base angles of the isosceles triangle are congruent, so
... 34° = (x -5)°
... 34+5 = x = 39 . . . . . . . divide by °, add 5.
