Answer:
62.83
Step-by-step explanation:
I hope this helps!! I am actually learning about this right now!! :)
F(x) = 2/3x + 1
This is in the slope-intercept form of an equation for a line.
Which is written as this: (Note f(x)= is the same as saying y= in this case)
y = mx + b
M is our slope. Slope is the RISE over the RUN
In other words it is y/x
For this graph y represents distance, and x represents time. (Life Tip: TIME is almost ALWAYS the X value)
In this case M = 2/3
So her speed is:
2 units/3 units
B is the y-intercept. The y-intercept is where the X-value equals 0. So, (0,y). Because the y-intercept is distance she should have a y-intercept of 0. (The origin) because that would mean at the start of the race she had no distance (aka she was at the starting line).
Because her y-intercept (b) = 1 she did have a head start.
Here are both the answers at once to make it easier for you:
Speed (Replace Units with whatever units you were given. Distance Units go on top. Time units on bottom. Example: Meters/Second))
2 units/3 units
Did she have a head start? (Unit being whatever distance unit you were given)
Yes, 1 unit.
The equation r = u/st is equivalent to u = rst .
True
Of your numbers listed, 29 and 41 are the lengths of the hypotenuse of a Pythagorean triple.
Those triples are
(20, 21, 29)
(9, 40, 41)
_____
The On-Line Encyclopedia of Integer Sequences (OEIS) lists the hypotenuses of primitive triples as sequence number A020882.
1. 90°
2. 25°
1. A straight line has an angle of 180°, and if one part of it measures 90°, then that means the other part has to measure 90°.
2. Again, a straight line measures 180°, and if one part measures 155°, the other part must measure 25° in order for the entire angle to measure 180°.
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