Answer: Part A. B origin Part B. C(0,0)
Step-by-step explanation:
In a coordinate plane, there are two axes
1) x-axis which is the horizontal axis.
2) y-axis which is the vertical axis.
The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.
Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the <u>origin</u>.
Part B: The coordinate. Part B the coordinates of the origin are <u>(0,0)</u>.
Answer:
fraction of gallon is in each bottle.
Step-by-step explanation:
As per the given condition: G.O is going on a hike in the mountains on a hot summer day he has 4/5 gallon of water that he split into 4 bottles.
⇒ in 4 bottle he has
gallon of water.
Unit rates defined as when are expressed as a quantity of 1, such as 3 feet per second or 4 miles per hour, then they are called unit rates.
By unit rate definition,
In 1 bottle he has =
gallon of water.
therefore, the gallon in each bottle in fraction is, 
The way we can find out the unit rate (also known as the <em><u>SLOPE</u></em>) is by using the table as coordinates!
The slope formula is 
With the table, the TIME column can be "x"
The DISTANCE column can be "y"
____________________________
As coordinates, it would look like...
(0,0)
(20, 25)
(30, 37.5) and so on!
_____________________________
All we need to do now is use 2 of these coordinates and plug them into the slope formula in their correct places to find the unit rate!
Example:
solve!
= 12.5/10 ⇒ 1.25 ( or 5/4 in fraction form)
Answer:
y = −32
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:

We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)

Also we use identity
sin(2x) = 2 sin(x) cos(x)

4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer



We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified