Answer:
53 cm
Step-by-step explanation:
Using Pythagoras Theorem,
The hypotenuse


= 53 cm
Yes the slope is one fourth.
Answer:
-39,063
Step-by-step explanation:
In this geometric, sequence, you are multiplying by -5. So, we can continue the sequence by mulitplying 375(your last value) by -5 and so on, until we have 7 total terms.
Now we add the terms together:
-3+15+-75+375+-1875+9375+-46875
=-3+15-75+375-1875+9375-46875
=-39063
Hope this helps :)
You can make an equation to solve this, but establishing knowns, unknowns, and relationships.
# in spring wash = x
# in summer = x + 14
Total Washes = 96
we know:
total = summer + spring
96 = (x) + (x + 14)
96 = 2x + 14
82 = 2x
"x" = 41
In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)
Part (a) asked for the equation of the line in y = mx+b form
That would be y = -2x+9
This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.
The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9
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Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below