Answer:
y + 5 > -2 i.e. option 4.
Step-by-step explanation:
An inequality is shown in the number line by an arrow and we have to identify the inequality from the options given.
It is clear from the given figure that the y variable is plotted and its value is greater than - 7 but not including - 7.
Therefore, option 4 which gives the inequality y + 5 > -2 will be the correct answer.
As it gives y > - 2 - 5 i.e. y > - 7 (Answer)
ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA
The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite
Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent
The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle
θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3
α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
Step-by-step explanation:
What you need to do is convert the quarts into gallons and then you need to subtract the number by 2 and you have your answer. Sorry I cannot give you the answer! I'm kinda in a rush but I wanted to help you out.
Inc on (-inf,0)
Dec on (0,inf)
