It's too blurry take another picture
Answer:
None of these.
Step-by-step explanation:
Let's assume we are trying to figure out if (x-6) is a factor. We got the quotient (x^2+6) and the remainder 13 according to the problem. So we know (x-6) is not a factor because the remainder wasn't zero.
Let's assume we are trying to figure out if (x^2+6) is a factor. The quotient is (x-6) and the remainder is 13 according to the problem. So we know (x^2+6) is not a factor because the remainder wasn't zero.
In order for 13 to be a factor of P, all the terms of P must be divisible by 13. That just means you can reduce it to a form that is not a fraction.
If we look at the first term x^3 and we divide it by 13 we get
we cannot reduce it so it is not a fraction so 13 is not a factor of P
None of these is the right option.
Answer:
x = 46°
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then
x + 134° = 180° ( subtract 134° from both sides )
x = 46°
Answer:
a = -0.3575
Step-by-step explanation:
The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.
The points A and B are located where
![y=a(x+1)(x-5)=0](https://tex.z-dn.net/?f=y%3Da%28x%2B1%29%28x-5%29%3D0)
This gives
![x=-1](https://tex.z-dn.net/?f=x%3D-1)
![y=5](https://tex.z-dn.net/?f=y%3D5)
Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e
![B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}](https://tex.z-dn.net/?f=B_x%3DA_x%2B%5Cfrac%7B2%7D%7Btan%2860%29%7D%20%3D-1%2B%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B3%7D)
Thus the coordinates of B are:
![B=(-1+\frac{2\sqrt{3} }{3},2)](https://tex.z-dn.net/?f=B%3D%28-1%2B%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B3%7D%2C2%29)
Now this point B lies on the parabola, and therefore it must satisfy the equation ![y=a(x+1)(x-5).](https://tex.z-dn.net/?f=y%3Da%28x%2B1%29%28x-5%29.)
Thus
![2=a((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)](https://tex.z-dn.net/?f=2%3Da%28%28-1%2B%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B3%7D%29%2B1%29%28%28-1%2B%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B3%7D%29-5%29)
Therefore
![a=\frac{2}{((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B2%7D%7B%28%28-1%2B%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B3%7D%29%2B1%29%28%28-1%2B%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B3%7D%29-5%29%7D)
![\boxed{a=-0.3575}](https://tex.z-dn.net/?f=%5Cboxed%7Ba%3D-0.3575%7D)
Answer:
$1,210
Step-by-step explanation:
$28,000 - $2,100 = $25,900
$25,900 - $5,000 = $20,900
1.5% × $1,000 = $15
3% × $2,000 = $60
4.5% × $2,000 = $90
5% × $20,900 = $1,045
$15 + $60 + $90 + $1,045 = $1,210