Answer:
a = √10
Step-by-step explanation:
a² + b² = c²
a² + 9² = (√91)²
a² + 81 = 91
a² = 10
a = √10
hope this helps :)
Let point A be 
and point B 
Use the point-slope formula and whichever point you want as , in this case I'll use
Answer:
12 mm
Step-by-step explanation:
Use Pyth Theor
9^2 + b^2 = 15^2
81 + b^2 = 225
b^2 = 144
sqrt 144 = 12
b = 12
Answer:
Step-by-step explanation:
0.75 feet / day [ 1 day / 24 hours] * [12 inches / 1 foot]
This process is called dimensional analysis. The trick it uses is to cancel out units (like feet or days ) where possible. In this case, 1 day is going to cancel out and leave behind 24 hours. 1 foot will cancel out and leave behind 12 inches.
It is well worth learning how to do this, because the process is done in the higher sciences.
So what you are left with is
0.75 * 12 inches / 24 hours
0.75 inches /hour * 1/2
0.375 inches / hour.
Since they tell us that this is linear, having a constant rate of change, we can express this as a line:
y=mx+b, where m=slope (change in y divided by change in x) and b=y-intercept (value of y when x=0)
First find the slope, or m, which mathematically is:
m=(y2-y1)/(x2-x1), in this case:
m=(880-440)/(2000-1000)
m=440/1000
m=0.44, so far our line is:
y=0.44x+b, now we can use either data point to solve for b, I'll use (1000,440)
440=0.44(1000)+b
440=440+b
0=b, so our line is just:
y=0.44x
