This way Sally travels 12+9=21 kilometers.
If there was a direct way she could go to work, that way would have been 15 km (because her way to work forms a right-angled triangle).
Therefore her journey would be 21-15=6 km shorter. Choice A.
Answer:
y=-4x+7/2
Step-by-step explanation:
slope-intercept form follows the following format:
y=mx+b
simply replace m with -4 and b with 7/2
Answer:
384 gallons
Step-by-step explanation:
152/19 = 8mpg
48*8 = 384 gallons
Okay I think there has been a transcription issue here because it appears to me there are two answers. However I can spot where some brackets might be missing, bear with me on that.
A direct variation, a phrase I haven't heard before, sounds a lot like a direct proportion, something I am familiar with. A direct proportion satisfies two criteria:
The gradient of the function is constant s the independent variable (x) varies
The graph passes through the origin. That is to say when x = 0, y = 0.
Looking at these graphs, two can immediately be ruled out. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations.
This leaves B and C. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear.
This leaves C as the odd one out.
I hope this helps you :)
Answer:
ummm what is this for tho?