The full answer is 28.421856
The altitude will be the geometric mean of the lengths, so

. The smaller leg is the hypotenuse of a right triangle sides 4 and

so the usual trig cliche, hypotenuse 8.
Answer: 8
Answer:
(3,-4) or x=3 and y= -4
Step-by-step explanation:
I'm going to solve this by substitution
We first need to get a variable by itself in one of the two equations (it doesn't matter which variable and the equation you do the work on doesn't matter either)
I'm going to solve for y in the second equation
-4x-4y=4
add 4y and subtract 4 from both sides to get
-4x-4=4y
Divide by 4 to get
-x-1=y
We can plug this value in for y into the first equation and get
4x+5(-x-1)= -8
Solve for x
4x-5x-5= -8
-x-5= -8
-x= -3
x=3
We can plug this value into one of the first two equations and solve for y
4(3)+5y= -8
12+5y= -8
5y= -20
y= -4
Therefore the solution is (3,-4) or x=3 and y= -4
So firstly, what two terms have a product of 8x^2 and a sum of 9x? That would be x and 8x. Replace 9x with x + 8x: 
Next, factor x^2 + x and 8x + 8 separately. Make sure that they have the same quantity on the inside: 
Now you can rewrite the equation as 
Now using zero product property, solve for x:

<u>In short, the solutions are {-1,-8}, or C.</u>