Step-by-step explanation:
Pythagoras' theorem for the smallest one :
= 52
Pythagoras' theorem for the middle one :
= 
+ 
Pythagoras' theorem for the biggest one :
Using the formula before (for 
) it becomes :
16 + 8a = 52 + 36
16+8a = 88
8a = 88-16
8a = 72
a = 9
Verifying :
= 117
The biggest one :
True
Take half of the coefficient of x: It is 3, and half that is 3/2.
Then <span>x^2+3x=6 becomes:
</span><span> x^2+3x + (3/2)^2 =6 + (3/2)^2, and
(x+3/2)^2 = 6 + 9/4
You were not asked to solve the equation, but why not do it for the practice?
</span>Solve (x+3/2)^2 = 6 + 9/4 for x. There will be 2 values.
Answer:
a) y = 9x
b) For every increase of 1 hour the price to rent the lane increases by $9.
c) $27
Step-by-step explanation:
a) Since it costs $18 for 2 hours we can infer that for every 1 hour it costs $9.
So, the equation would look like this:
y = 9x
b) In this context, for every increase of 1 hour the price to rent the lane increases by $9. Like the question gave us, the price for 2 hours cost $18.
c) Plug 3 into the equation:
y = 9(3)
y = 27
Therefore, it costs $27 to rent the lane for 3 hours.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
40 pages = 80 minutes
210 pages = ? minutes
Well, take the first fact; 40 pages in 80 minutes and use it to find how many pages per minute.
40/80=1/2
1/2 pages = 1 minute
1 page = 2 minutes
210 pages = ? minutes
210*2=420
420 minutes = 7 hours
210 pages = 7 hours
Hope this helped :)
