Answer:
y = x/3 - 2 or f(x) = x/3 - 2
Step-by-step explanation:
f(x) = y
y = 3x + 6
To solve for inverse change y to x and x to y and solve for y.
x = 3y + 6 //Subtract 6 on both side
x - 6 = 3y //Divide 3 on both side
x/3 - 6/3 = y //Simply
y = x/3 - 2
Answer: D
Explanation: The function is an absolute value function with vertex at (-9,0). The slope of the part with x value greater than -9 is positive, and the slope of the part with x value less than -9 is negative.
Answer:
Step-by-step explanation:
For any quadrilateral to be a parallelogram
i) either both the pairs of opposite sides must be equal
ii) Both the pairs of opposite sides must be parallel
iii) Opposite pairs of angles must be equal
iv) Diagonals must bisect each other.
v) A pair of opposite sides must be parallel and equal
Here we are already given that AB || CD
So either we should be given that AD || BC
or we must be given that AB = CD
Here it is given AB = CD as an option.
So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.
Answer:
18; 1h30m; 15
Step-by-step explanation:
<u>Part A:</u>
James traveled 45km, you can tell because that is where he stops.
It took him from 2pm to 4:30pm.
You can find this info on the x axis.
That means 45km took him 2.5 hours.
45/2.5=18
James travels 18km per hour.
<u>Part B:</u>
The stop is indicated by the flat part in the graph. This is because when he stops, the distance he is away from home is not changing.
His stop is from 4:30pm to 5pm.
This means that his stop is 1 hour and 30 minutes.
<u>Part C:</u>
James had to travel 45km to get back home. (45-0)
It took him from 5pm to 8pm.
This means that on his journey back, 45km took him 3 hours.
45/3=15
James travels 15km per hour.
