Hey there!!
Basic formula :
... a² - b² = ( a + b ) ( a - b )
Equation given :
... 81x² - 25
... ( 9x )² - ( 5 )²
... ( 9x + 5 ) ( 9x - 5 )
Hope it helps!!
In the smaller triangle, let 
be the length of the smallest leg. Then the smallest leg in the larger triangle is 
.
Within the scope of the smaller triangle, we have such that
Then within the larger the triangle, we would have
Now we can solve for 
:
Answer:
1203/100
Step-by-step explanation:
12 times 100 equals 1200 plus three equals 1203/100
Answer:
Step-by-step explanation:
As 2 and 7 are the only prime divisors of both 
and 
we know that both can be written as:
Where 
is the set of all natural numbers adding the zero (careful because this part is important as I'll explain next).
We also know that 14 divides both numbers and that is actually the greatest common divisor between them. So we can rewrite a and b as follows:
Why do I write them like this? Because this way is easier to observe that if 
and 
were both greater than zero, then 28 would divide both hence 14 wouldn't be their g.c.d.. Likewise, if 
and 
were both greater than zero, then 98 would divide both and once again, 14 wouldn't be their g.c.d.
So either of them has to be equal to zero. And then we have that
All we have left to do is find the possible values for and so that 
and that only happens if 
and 
Step 1: Rewrite equation
10-5y=3x
Step 2: To get y alone on the left side, subtract 10 on both sides
10-5y=3x
-10 -10
__________
-5y=3x-10
Step 3: divide -5 on both sides, again to get y alone
-5y=3x-10
/-5 /-5 /-5
________
y=-3/5x+2
Final equation: y=-3/5x+2
Hope this helps :)
