There is the formula now just plug in the values and you will get your answer.
Answer:
4(x+4)
Step-by-step explanation:
Find to GCF of 4x+16.
Now factor out the GCF by dividing each term in the expression by 4.
4x divided by the GCF is x, and 16 divided by the GCF is 4.
The equivalent expression is 4(x+4).
Answer:
Step-by-step explanation:
f(x)/g(x) = (x+6)/[(x+6)(x-6)]
Cancel (x+6)
Answer is 1/(x-6)
Standard form of a quadratic f(x) = ax^2 + bx + c
In a quadratic function you find the vertex using the formula x = -b/2a; once you find the x value, substitute it into the equation and solve for y.
To know if a parabola opens up or down you look at the coefficient of the x^2 term. If it is positive, the graph opens up; if it is negative, the graph opens down.
Since the triangle DEF is an equilateral triangle and x is the height of this triangle, we can use the following formula for the height of an equilateral triangle:
![h=\frac{l\sqrt[]{3}}{2}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7Bl%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D)
Where 'l' is the length of the triangle side.
So, using l = 13, we have:
![\begin{gathered} x=\frac{13\cdot\sqrt[]{3}}{2} \\ x=\frac{13\cdot1.73}{2} \\ x=11.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B13%5Ccdot%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%20%5C%5C%20x%3D%5Cfrac%7B13%5Ccdot1.73%7D%7B2%7D%20%5C%5C%20x%3D11.2%20%5Cend%7Bgathered%7D)
So the value of x is 11.2
