Answer:
The binomial: (x-2) (second option of the list) is a factor of the given trinomial
Step-by-step explanation:
You are looking for two binomial factors of the form; (x+a) and (x+b), with values "a" and "b" such that:
Their product "a times b" results in: "+14" (the numerical term in the initial trinomial
,
and their combining "a+b" results in "-9" (the coefficient in the middle term of the trinomial)
Such number "a" and "b" are: "-2" and "-7".
We can see by multiplying the binomials formed with these numbers:
(x-2) and (x-7) that their product indeed renders the original trinomial:
![(x-2) (x-7)= x^2-7x-2x+14=x^2-9x+14](https://tex.z-dn.net/?f=%28x-2%29%20%28x-7%29%3D%20x%5E2-7x-2x%2B14%3Dx%5E2-9x%2B14)
therefore, the binomials (x-2) and (x-7) are factors of the given trinomial.
The only one shown among the four possible options is then: (x-2)
Use the distance formula:
x2 is 1 and x1 is -2
y2 is root7 and y1 is 0
Point (X1,Y1) is basically the coordinate of the centre point of the circle
Point (X2,Y2) is the point that on the circle
So if the point(1,root7) is on the circle, the final distance you get should be the radius of the circle, which is 4 units
Calculate it and you can get the answer that is 4
Therefore the point (1,root7) is on the circle
Answer: X = 36.
Step-by-step explanation: There are 360 degrees in a trapezoid. Two angles are 108 degrees. 108 + 108 =216. 360 minus 216 is 144. 2x + 2x = 4x. 144 divided by 4 is 36. Therefore, x =36.
.075+.006x > 0.81 which inequality shows all the possible values of x?