Answer:
The rangers
Step-by-step explanation:
Their number of wins didn't go up. In fact their wins decreased the most.
[ ( x + 4 )( x + 5 ) + 4( x + 1 )( x + 5) - 5( x + 1 )( x + 4 ) ] / [( x + 1 )( x + 4)( x + 5 )] = ( x^2 + 9x + 20 + 4x^2 + 24x +20 - 5x^2 - 25x - 20) / [( x + 1 )( x + 4)( x + 5 )] =
( - 2x + 20 ) / [( x + 1 )( x + 4)( x + 5 )] = ( - 2)( x - 10) / [( x + 1 )( x + 4)( x + 5 )]
Answer:
The second option shows the correct translation of 3 units to the right and 1 unit down.
Answer:
(2x -3)^2 = 0
Step-by-step explanation:
In this particular instance, the square is already complete. The rewrite is to show that.
(2x -3)^2 = 0
__
In the general case, ...
(ax +b)^2 = a^2x^2 +2abx +b^2
Comparing this form to the given left-side expression, we see that ...
a = 2, b = -3
So, the trinomial is already a perfect square trinomial.
Answer:
The ladder should be 34 feet long.
Step-by-step explanation:
The height of the spotlight above ground = 30 feet
The base of the ladder will be = 16 feet from the base of house
We can easily assume this to be a right triangle with perpendicular as 30 feet and base as 16 feet and we have to find the hypotenuse.
Lets say the length of the ladder or hypotenuse is = x
We will apply Pythagoras theorem here.

=> 
=> 
=> 
So, x = 34
Hence, the ladder should be 34 feet long.