Answer: (Mayadc821 wrote this anwser check theyre account for more)
Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:
y = mx + b
-10 = m(1) + b
m + b = -10
b = -10 - m
Now that we have a value for b, we can plug this into the other equation:
8 = m(-8) + b
8 = -8m + (-10 - m)
8 = -9m -10
18 = -9m
m = -2
Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:
b = -10 - m
b = -10 -(-2)
b = -10 + 2
b = -8
Our final equation is y = -2x - 8
This is all about right triangles, assuming the tower is not the leaning tower of pisa! The tower is our height of the right triangle, the base of our triangle is the distance Nadia is from the tower, and the reference angle is 30 (the base angle that is NOT the right angle). The tower is opposite this reference angle, and the side 60 is adjacent to this angle, so we will use the tangent ratio, the trig identity that relates the side opposite the reference angle to the side adjacent to it.
. Solving for x we get x = 60 tan(30°). On our calculators that gives us that x = 34.64. That's how tall the tower is.
Answer:
rate of change = 1.5 dollars per mile
Step-by-step explanation:
cost for travelling 1 mile = 3.75
cost 2 miles = 5.25
cost 3 miles = 6.75
cost 4 miles = 8.25
Answer: Matched-pairs t-test
Step-by-step explanation:
Let the number of chairs Gavin build per week is x and number of tables he builds per week is y.
It takes 4 hours to work on a chair and 10 hours to work on a table. So time taken to work on x chairs and y tables will be:
Gavin wants to work for no more than 40 hours. So we can write the inequality as:
It takes $10 worth of supplies to build a chair and $15 worth of supplies to build a table. So cost or worth of supplies for x chairs and y tables will be:
Gavin wants to spend no more than $80 on material. So we can write the inequality as:
Thus the system of inequalities is:
We can observe the possible combinations from the graph of these inequalities, which is shown below:
a) 0 chair and 3 tables
b) 5 chairs and 2 tables
c) 8 chairs and 2 tables