The number line should go in this order:
1/4,1/2,3/4, and 2/2
1/4=0.25
1/2=0.5
3/4=0.75
2/2=1
Answer:
<em>π/2 and π/3</em>
Step-by-step explanation:
Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.
let P = cosx
The equation becomes 2P²-P = 0
P(2P-1) = 0
P = 0 and 2P-1 = 0
P= 0 and P = 1/2
Since P = cosx
cosx = 0 and cos(x) = 1/2
If cos(x) = 0
x = cos⁻¹0
x = 90⁰
x = π/2
If cos(x) = 1/2
x = cos⁻¹1/2
x = 60⁰
x = π/3
<em>Hence the solutions to the equation are π/2 and π/3.</em>
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
Hey!!
here comes the answer >>>
Corresponding angles are the ones , which sum up to 180° the given question is angle C and angle F , H and A , D and E , B and G
C and F
H and A
D and E
B and G
Vertical angles = called as the vertical opposite angles , both these angles are the same!.
So the angles are ,
A and C
B and D
E and G
F and H
hope my answer helps!
Answer:
0.9
m
−
12
Note:
Since there is no y value m can not be determine. Therefore finding the sum here can not be determined so instead you can try simplifying
