Since the shape is a square, it has 90° angles.
if cut in half, it creates a 45-45-90 triangle.
using this, you can use the ratio of 1:sqrt2 to find x. so the ratio would be x:6 to 1:sqrt2.
divide 6 by sqrt2 to find x, and then rationalize for it to become 6sqrt2/2, which would simplify even further to 3sqrt2
Hey there!!
Recursive formula :
... a( n ) = a ( n - 1 ) + 7
The first term is 12
To find the second term, we will need to substitute 2 in place of ' n '
2 term :
... a( 2 ) = a ( 2 - 1 ) + 7
... a( 2 ) = a( 1 ) + 7
We know a( 1 ) = 12
... a( 2 ) = 12 + 7
... 19 is the second term and we will need to use this to find the other terms.
Hope my answer helps!
Answer:
The system has one solution.
Step-by-step explanation:
We have two equations:
y = -2x - 4
y = 3x + 3
Equalling them:
y = y
-2x - 4 = 3x + 3
5x = -7
And
Replacing in the other equation we should get the same result.
So the system has one solution.
So the ratio of boys to girls is 12:24.. now, is that an equivalent ratio as 2 boys for 4 girls? or 2:4? let's see.
you could start simplifying the 12/24 fraction by dividing by some common multiple, say 2, and get 6/12, then divide by 3 and get 2/4 and stop there.
then you'll notice that 12/24 is really 2/4 in disguise.
It would look like this: O=C=O
Hope this helps you out.