Answer:
4/1
Step-by-step explanation:
To get from one dot to the next, you go up by four and to the right by one, making the slope 4/1
Vertex is (-2,-3) and it's a minimum.
Answer:
180 children and 175 adults
Step-by-step explanation:
Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.
The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity 4* (355-x)= 1420 -4x
If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)
1.5x+ 1420-4x= 970
1420-2.5x= 970
x=180- children
355-180=175adults
Answer:


Step-by-step explanation:
Given [Missing from the question]
Equation:

Interval:


Required
Determine the values of 
The given expression:

... shows that the value of
is positive
The cosine of an angle has positive values in the first and the fourth quadrants.
So, we have:

Take arccos of both sides

--- In the first quadrant
In the fourth quadrant, the value is:


So, the values of
in degrees are:

Convert to radians (Multiply both angles by
)
So, we have:




Since rectangle ABCD is similar to HGFE, the ratios of the lengths of their corresponding sides are equal. We can infer form our picture that AD is corresponding to EH and DC is corresponding to HG, so lets find the ratios of those corresponding sides and establish a proportion to find the length of HG:

We know that

,

, and

, so lets replace those values in our proportion:




We can conclude that the length of the segment
HG is 9.