4 (e)
sin^8 x - cos^8 x
= (sin^4 x + cos^4 x)(sin^4 x - cos^4 x)
= (sin^4 x + cos^4 x)(sin^2 x - cos^2x)(sin^2 x +cos^2 x)
= (sin^4x + cos^4 x)( sin^2 x- cos^2 x)
Sorry I cant do 4 (d).
Answer:
z = 4/3 or 1 1/3
Step-by-step explanation:
z−4/9−1/3=5/9
Change 1/3 to have a denominator of 9
1/3 *3/3 = 3/9
z−4/9−3/9=5/9
Combine like terms
z -7/9 = 5/9
Add 7/9 to each side
z-7/9+7/9 = 5/9+7/9
z = 12/9
z=4/3
or as a mixed number
z = 1 1/3
Answer:
n<50
Step-by-step explanation:
7/2*5n + 14<49
7n/2*5+14<49
(7n)+(2*5)14/2*5 <49
7n+10*14/2*5 <49
7n+140/2*5 <49
7n+140/10 <49
7n+140 < 10*49
7n+140 < 490
(7n+140)+(-140)<490+(-140)
7n+140-140<490-140
7n<350
7n/7 < 350/7
n<2*5^2*7/7
n<2*5^2
n<2*25
n<50
It is called a Line. It is a straight path that extends forever
Answer:
![y=\frac{1}{3}x-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx-2)
Step-by-step explanation:
The equation of a line is given in the form ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where
m is the slope with formula ![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
and
b is the y-intercept [y axis cutting point of line]
Given the two points (0, -2) and (6,0),
x_1 = 0
y_1 = -2
x_2 = 6
y_2 = 0
Now, we find m using formula:
![m=\frac{0+2}{6-0}=\frac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B0%2B2%7D%7B6-0%7D%3D%5Cfrac%7B1%7D%7B3%7D)
Now we have
![y=\frac{1}{3}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx%2Bb)
Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:
![y=\frac{1}{3}x+b\\0=\frac{1}{3}(6)+b\\0=2+b\\b=-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx%2Bb%5C%5C0%3D%5Cfrac%7B1%7D%7B3%7D%286%29%2Bb%5C%5C0%3D2%2Bb%5C%5Cb%3D-2)
Thus,
equation of line = ![y=\frac{1}{3}x-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx-2)