Aaron can mow 2400 square feet in 3/4 of an hour. How fast can he mow in square feet per hour
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A lot of work but you're lucky cuz I am bored.
Because we were not given any specific point to start off with. I choose (2,2), which is shown in red as 1. Note that 1 box = 1 unit.
We translate it 2 times.
a) (x+5)(y+3) = (2+5)(2+3) = (7,5) is our new point (shown in brown as 2)
Translation process shown in yellow.
b) (x-4)(y+2) = (7-4)(5+2) = (3,7) is our final point (shown in orange as 3)
Note that we use the 2nd point for the second translation as required.
Translation process shown in lime.
We can therefore determine from the picture below that you can use the translation (x+1)(y+5), which the translation process is shown in blue.
Proof: (x+1)(y+5) = (2+1)(2+5) = (3,7)
Now let's do it again, except we do the second translation first and the first translation last.
c) (x-4)(y+2) = (2-4)(2+2) = (-2,4) is our new point (shown in purple as 4)
Translation process shown in pink.
d) (x+5)(y+3) = (-2+5)(4+3) = (3,7) is our final point (shown in orange as 3)
Translation process shown in dark blue.
Same rules as (b). Notice how the final point is still the same? Therefore it makes no difference.
Hope I helped a lot :P
Because we were not given any specific point to start off with. I choose (2,2), which is shown in red as 1. Note that 1 box = 1 unit.
We translate it 2 times.
a) (x+5)(y+3) = (2+5)(2+3) = (7,5) is our new point (shown in brown as 2)
Translation process shown in yellow.
b) (x-4)(y+2) = (7-4)(5+2) = (3,7) is our final point (shown in orange as 3)
Note that we use the 2nd point for the second translation as required.
Translation process shown in lime.
We can therefore determine from the picture below that you can use the translation (x+1)(y+5), which the translation process is shown in blue.
Proof: (x+1)(y+5) = (2+1)(2+5) = (3,7)
Now let's do it again, except we do the second translation first and the first translation last.
c) (x-4)(y+2) = (2-4)(2+2) = (-2,4) is our new point (shown in purple as 4)
Translation process shown in pink.
d) (x+5)(y+3) = (-2+5)(4+3) = (3,7) is our final point (shown in orange as 3)
Translation process shown in dark blue.
Same rules as (b). Notice how the final point is still the same? Therefore it makes no difference.
Hope I helped a lot :P
For this case we must simplify the following expression:
Simplifying the numerator, dividing all the terms by 4, we have:
We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2
So, we have to:
Simplifying the denominator:
We rewrite -17x as -18x + x:
We factor the highest common denominator of each group:
We factor the polynomial by factoring the highest common denominator (x-6):
So, we have to:
Substituting in the original expression we have:
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