It would be an enlargement, because 5/2=2.5 which is greater than 1. Hope this helps!
Answer:
Step-by-step explanation:
The smallest is 4 and since there has to be two fives, the two middle numbers are 5. The range 3 so that means the biggest number is 7. So the set is 4,5,5,7
(-6,-7) and (2,-7)
So you would do m=y2-y1/x2-x1
(x1,y1) is (-6,-7) and (x2,y2) is (2,-7)
So you get
m=[-7-(-7)]/[2-(-6)]
m=0/2+6
m=0/8
m=0
So the slope is 0. I hope that helps!
Answer:
13)
Line A - slope/constant of proportionality = 5/2
Line B - slope/constant of proportionality = 2/3
14)
unit rate = 3/2 or 1.5
The unit rate, 3/2, is greater than line B's unit rate but is less than line A's unit rate.
Step-by-step explanation:
To find the constant of proportionality for question 13 you use the graph. k = y/x so you find the point at (4, 10) and you go up 10 (y) and over 4 (x). So now you have 10/4 and then you simplify to 5/2. Use the same method for line B to find the slope. Now for question 14 you subtract 10 - 5 to get 5 which is your x and 15- 7.5 to get 7.5 which is the y. So this is now 7.5/5 (y/x) or 3/2. 3/2 is less than 5/2 and greater than 2/3.
Thank you so much!!! Hope this helps!!!
This is the missing equation that models the hieght and is misssing in the question:
<span>h= 7cos(π/3 t)
</span>
Answers:
<span>a. Solve the equation for t.
</span>
<span>1) Start: h= 7cos(π/3 t)
</span>
2) Divide by 7: (h/7) = <span>cos(π/3 t)
</span>
3) Inverse function: arc cos (h/7) = π/3 t
4) t = 3 arccos(h/7) / π ← answer of part (a)
b. Find the times at which the weight is first at a height of 1 cm, of 3
cm, and of 5 cm above the rest position. Round your answers to the
nearest hundredth.
<span>1) h = 1 cm ⇒ t = 3 arccos(1/7) / π</span>
t = 1.36 s← answer
2) h = 3 cm ⇒ t = 3arccos (3/7) / π = 1.08s← answer
3) h = 5 cm ⇒ 3arccos (5/7) / π = 0.74 s← answer
c. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time.
Use the periodicity property of the function.
The periodicity of <span>cos(π/3 t) is 6.
</span><span>
</span><span>
</span><span>So, the second times are:
</span><span>
</span><span>
</span><span>1) h = 1 cm, t = 6 + 0.45 s = 6.45 s ← answer
</span>
2) h = 3 cm ⇒ 6 + 1.08 s = 7.08 s← answer
3) h = 5 cm ⇒ t = 6 + 0.74 s = 6.74 s ← answer
