Answer:
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Step-by-step explanation:
Remember that:
- Two lines are parallel if their slopes are equivalent.
- Two lines are perpendicular if their slopes are negative reciprocals of each other.
- And two lines are neither if neither of the two cases above apply.
So, let's find the slope of each equation.
The first basketball is modeled by:
We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:
And divide both sides by four:
So, the slope of the first basketball is -3/4.
The second basketball is modeled by:
Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:
And divide both sides by negative eight:
So, the slope of the second basketball is also -3/4.
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Answer:
Step-by-step explanation:
![\sqrt[3]{\frac{27t^{9} }{729} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B27t%5E%7B9%7D%20%7D%7B729%7D%20%7D)
27 is a perfect cube for 
and 729 is a perfect cube for 
![\sqrt[3]{\frac{3^{3} t^{9} }{9^{3} } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3%5E%7B3%7D%20t%5E%7B9%7D%20%7D%7B9%5E%7B3%7D%20%7D%20%7D)
now you can pull out the numbers from under the root, for t (divide the exponent by 3)
now simply to
1. 10 pages ->3 min
1 page->0.3min or 18 seconds
2. $28->6h
$28/6->1h
$4/2/3 or $14/3->1h
Step-by-step explanation:
step 1. slope = rise/run
step 2. the rise is the height between any 2 points
step 3. the run is the distance left or right between the same 2 points
step 4. if the line goes up "left to right" the slope is positive, down it is negative
step 5. slope = + 6/2 = 3.
For a. divide 125 by 300 then multiply by 100
The answer for a. is 41.66%
For b. convert percentage to decimal divide by 100 then multiply 0.15 by 2.25 to get 0.3375. Round it off to 0.34 and subtract that from 2.25 to get
The answer for b. is $1.91
For c. you have to figure out the difference first. 2.50 minus 2.00 is 0.50
So then what percent of 2.00 is 0.50
Divide 2.00 by 0.50 to get 4.
The answer for c. is 4%
Honestly this was kinda rushed because I'm in the middle of a quiz so yea hope this helps you.
From yours truly to you,
<em> Que.</em>
