Answer:
<em>y = (-mi/h)x + b</em>
y = total distance left to cover
-mi/h = speed at wich he is covering ground
b = the total distance to cover from start to finish
Step-by-step explanation:
Slope Intercept form without other variables filled is shown like this with <em>mx </em>being the slope and <em>b </em>being the y intercept
<em>y = mx + b</em>
all we need to do is fill in known variables with hours multiplied by <em>x </em>represented as <em>m</em>...
<em>y = (-mi/h)x + b</em>
note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD
<em>b</em> would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with
Answer:
Step-by-step explanation:
Hi!
So really focus on the fact that he started at $230, and then added an amount of money which we'll call x, which made his total equal $599.
Take the parts I put in bold, and write the equation.
$230 + x = $599
Now we need to find x.
Whatever we do to the equation, we do it to both sides.
Our goal is to isolate x on one side.
Subtract 230 from both sides.
$230 - $230 + x = $599 - $230
x = $369
The answer is A. $230 + x = $599 x = $369
Hope this helps! :)
-Peredhel
The sum of the inner angles of any triangle is always 180°, i.e. you have
In the particular case of an equilater triangle, all three angles are the same, so
and the expression becomes
which implies 
So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.
Of course, this is equivalent to a clockwise rotation of 120 degrees.
Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)
