5 is a constant - you pay $5 before you go on any of the waterslides.
let the number of waterslides Steven went on = x
5 +2x =17 ($5 plus $2 per waterslide ride = 17)
Answer a is correct.
By the way, Steven went on 6 waterslide rides.
T________U________W
16
TU=UW
16=16
TW=TU+UW
TW=16+16
TW=32
Welp. I sure hope you like the Pythagorean theorem...
Top line:
One point is (-2,-2) while the other is (3,-3)
Thus the distance in between is sqrt((3-(-2))^2+(-3-(-2))^2)=sqrt(5^2+(-1)^2)=sqrt(26)
Most right line:
One point is (4,-6) while the other is (3,-3)
Thus the distance in between is sqrt((3-4)^2+(-3-(-6))^2)=sqrt((-1)^2+3^2)=sqrt(10)
Most bottom line:
One point is (1,-6) while the other is (4,-6)
Thus the distance in between is sqrt(4-1)^2+(-6-(-6))^2)=sqrt(3^2+0^2)=sqrt(9)=3
Most bottom left line:
One point is (1,-6) while the other is (-2,-4)
Thus the distance in between is sqrt((1-(-2))^2+(-6-(-4))^2)=sqrt(3^2+(-2)^2)=sqrt(13)
Lastly the most left line:
One point is (-2,-2) while the other is (-2,-4)
Thus the distance in between is sqrt((-2-(-2))^2+(-2-(-4))^2)=sqrt(0^2+(2)^2)=sqrt(4)=2
Thus to find the perimeter, we add up all the sides to get
sqrt(26)+sqrt(10)+3+sqrt(13)+2=16.8668 or B
Answer: Slope: -1/2
Step-by-step explanation: To find slope take 2 points that lie on the line and use this formula to solve: <em> </em>I will use (0, -2) and (2, -3) to solve
↑ ↑ ↑ ↑
y2 - y1 x1 y1 x2 y2
-----------
x2 - x1
So, for this question, substitute the x and y values from the points above to solve.
-3 - (-2)
----------- = - 1/2
2 - 0
Hope this helped. :)
Answer:the 57th term is 78
Step-by-step explanation:
The sequence is an arithmetic sequence. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 6
d =3/2
n = 57
We want to determine the value if the 57th term, T57. Therefore,
T57 = - 6 + (57 - 1) ×3/2
T57 = - 6 + 56 × 3/2 = - 6 + 84
T57 = 78
