Answer:
The slope of the line is -7/8
When the point (7, –4) is used, the point-slope form of the line is
y+4=(-7/8)(x-7)
The slope-intercept form of the line is y=(-7/8)x+(17/8)
Step-by-step explanation:
Step-by-step explanation:
Answer:
and 
.
Step-by-step explanation:
If we have to different functions like the ones attached, one is a parabolic function and the other is a radical function. To know where 
, we just have to equalize them and find the solution for that equation:
So, applying the zero product property, we have:
![x=0\\x^{3}-1=0\\x^{3}=1\\x=\sqrt[3]{1}=1](https://tex.z-dn.net/?f=x%3D0%5C%5Cx%5E%7B3%7D-1%3D0%5C%5Cx%5E%7B3%7D%3D1%5C%5Cx%3D%5Csqrt%5B3%5D%7B1%7D%3D1)
Therefore, these two solutions mean that there are two points where both functions are equal, that is, when and .
So, the input values are and .
cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
Answer:
Quantity A because it changes with gravitational pull.
Explanation:
Mass defines the constitutive matter of an object. It is immutable (does not change). Although it could be converted into energy, the matter is constant.
On the other hand, the weight of an object (gravitational force) depends on the acceleration due to gravity.
That is why an astronaut weighs about three times more on earth than on Mars. The gravitational acceleration on Mars is about one third that on earth.
