Given:


To find:
The exact value of cos(u-v) if both angles are in quadrant 3.
Solution:
In 3rd quadrant, cos and sin both trigonometric ratios are negative.
We have,


Now,




On further simplification, we get


Similarly,






Now,




Therefore, the value of cos (u-v) is 0.1872.
Answer:
y < (x - 4)(x + 2)
so the critical points are -2 and 4
(-2,-1) will be in the solution
( 0,-2) will not
(4,0) will not.
the answer is ((-2,-1)
.0171875 IS THE SIMPLEST FORM IN DECIMAL FORM
Answer:
75% may also be expressed as 75/100=3/4 or as 0.75 as needed.
Let x = the number
Translate:
"if 75% of a number is 60" means
(75/100) * x = 60 [the word "of" usually means multiply]
(3/4) x = 60 [reduce or just write it this way]
x = 60(4/3) [multiply both sides by 4/3]
x = 80
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
The parabola will open to the right and will be symmetrical about y = 3.
The vertex is halfway between x = 1 and x = -7 making it at (-3, 3).
The p value is the distance between the vertex and the focus - here it is 1 - -3
= 4.