If n is an integer, then cos(n(2<span>π))=1.
Take n=0, cos(2</span>π)=cos(0)=1, n=1, cos(2π)=1, n=2, cos(2(2π))=cos(4<span>π)=cos(0)=1...
If n is not an integer, well, ..... we don't know the value, which depends on the value of n.</span>
Answer:
![\huge\boxed{a=\dfrac{16}{3}=5\dfrac{1}{3}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7Ba%3D%5Cdfrac%7B16%7D%7B3%7D%3D5%5Cdfrac%7B1%7D%7B3%7D%7D)
Step-by-step explanation:
![\triangle ZYW\sim\triangle WYX\ (AAA)\\\\\text{Therefore corresponding sides are in proportion}\\\\\dfrac{YX}{YW}=\dfrac{YW}{ZY}\\\\\text{substitute}\\\\YX=a;\ YW=4;\ ZY=3\\\\\dfrac{a}{4}=\dfrac{4}{3}\qquad\text{multiply both sides by 4}\\\\4\cdot\dfrac{a}{4}=4\cdot\dfrac{4}{3}\qquad\text{cancel 4}\\\\a=\dfrac{16}{3}](https://tex.z-dn.net/?f=%5Ctriangle%20ZYW%5Csim%5Ctriangle%20WYX%5C%20%28AAA%29%5C%5C%5C%5C%5Ctext%7BTherefore%20corresponding%20sides%20are%20in%20proportion%7D%5C%5C%5C%5C%5Cdfrac%7BYX%7D%7BYW%7D%3D%5Cdfrac%7BYW%7D%7BZY%7D%5C%5C%5C%5C%5Ctext%7Bsubstitute%7D%5C%5C%5C%5CYX%3Da%3B%5C%20YW%3D4%3B%5C%20ZY%3D3%5C%5C%5C%5C%5Cdfrac%7Ba%7D%7B4%7D%3D%5Cdfrac%7B4%7D%7B3%7D%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%204%7D%5C%5C%5C%5C4%5Ccdot%5Cdfrac%7Ba%7D%7B4%7D%3D4%5Ccdot%5Cdfrac%7B4%7D%7B3%7D%5Cqquad%5Ctext%7Bcancel%204%7D%5C%5C%5C%5Ca%3D%5Cdfrac%7B16%7D%7B3%7D)
Step-by-step explanation:
Since we are told that 10 is a zero,
(x−10) must be a factor:
F(x)=2x3−14x2−56x−40
F(x)=(x−10) (2x2+6x+4)
F(x)=2(x−10)(x2+3x+2)
F(x)=2(x−10)(x+2)(x+1)
So the other two zeros are
x = -2 and x= −1
Answer:
In interval form range is [-2,16]
Step-by-step explanation:
Here we can see that given equation is circle
whose center is (5,7 ) and radius is 8 ,
Range of the circle is actually values of y it changes from
if (h,k) is the center and r is the radius of circle then range is given by
k-r ≤y ≤ k+r
here in the question k = 7 and r =9
therefore range is
7-9 ≤y ≤ 7+9
-2 ≤y ≤ 16
In interval form [-2,16]
I’m pretty sure it’s A and C