Answer: Asymptote*
Step-by-step explanation: a line that a curve approaches, as it heads towards infinity
Answer:
m = 5 n = 
Step-by-step explanation:
5/2x2=5
5/3xsqrt3=5sqrt3/2
Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
Answer:
the point is (3, 3) . . . . . . y = 3
Step-by-step explanation:
Write the point-slope equation of the line through the point you know. Then evaluate that equation for x=3 to see what the value of y is.
Point-slope form:
y = m(x -h) +k . . . . slope m through point (h, k)
y = -1/2(x -9) +0 . . . . line with slope -1/2 through point (9, 0)
For x=3, the value of y is ...
y = -1/2(3 -9) + 0 = -1/2(-6) = 3
The value of y is 3.
Answer: ok so Let's simplify step-by-step.
r−3q+5p−(−4r−3q−8p)
Distribute the Negative Sign:
=r−3q+5p+−1(−4r−3q−8p)
=r+−3q+5p+−1(−4r)+−1(−3q)+−1(−8p)
=r+−3q+5p+4r+3q+8p
Combine Like Terms:
=r+−3q+5p+4r+3q+8p
=(5p+8p)+(−3q+3q)+(r+4r)
=13p+5r
Step-by-step explanation: