Direct variation looks like
y=kx, so
k=y/x
<span>(2, 4) k=4/2=2
(5, 10) k=10/5=2
(7, 14) k=14/7=2
(11, 22) k=22/11=2
Answer:A.k=2.</span>
Answer:
a) ~10.58 km/h
b) 45 min
c) 15 km/h
Step-by-step explanation:
a) 45km for 4 hours and 15min (4.25 hours) = 45 / 45.25 ~= 10.58 km/h
b) From 4:15 to 5 = 45min
c) 45km for 3 hours (5:00 to 8:00) = 45 / 3 = 15 km/h
NOTE!
The author actually wanted the answer on A) to be 10 km/h and the journey to be 4.5 hours (4 hours 30min) but instead they made it 4.25 (as shown on the graph, since 1 square is 30 minutes).
Answer: 8 1/4g/cm³
Step-by-step explanation:
Given the graph :
The rate of change in the mass of copper with respect to volume :
To obtain this, we find the slope or gradient of the graph:
Gradient = Δy / Δx = (y2 - y1) / (x2 - x1)
Drawing a right angled triangle on the anybpart of the line of best fit:
y2 = 40 ; x2 = 4.75 ; y1 = 16 ; x1 = 2
(y2 - y1) / (x2 - x1)
= (40 -16) / (4.75 - 2)
= 24 / 2.75
= 2400/275
= 8.727 g/cm^3
Due to unit and graph scale,, the slope is closest to 8 1/4g/cm³
Answer:
7
Step-by-step explanation:
1. Use sine law to solve
3/sin35 = x/sin55
3sin55/sin35 = 7