Question
The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.
Answer:
Step-by-step explanation:
Let the hypotenuse be y and the other legs be x.
So:
Required
Determine the exact dimension of the triangle
Using Pythagoras theorem;
This gives:
Open bracket
Collect like terms
Using quadratic formula:
Split
x can not be negative.
So:
Recall that:
Hence, the dimensions are:
Answer:
f(x) = 5x - 30
Yes it is a function
Step-by-step explanation:
Because when you input 0 you get -30 we know it starts at 0 or (0,-30). This gives us b in the equation y = mx + b.
We know that for every 4 cars washed it increases by 20. So 20/4 is 5. This tells us m = 5.
Plug it all in and you get y = 5x - 30 or f(x) = 5x - 30
F(-3)=121=112-k(-3)
121=112+3k
minus 112 both sides
9=3k
divide by 3
k=3
A). |x| = |-x|
This is always true.
The definition of 'absolute' value is 'size of the number without its sign'.
That's what this expression says.
b). |x| = -|x|
This is never true, because an absolute value is never negative.
This one would true if x=0 . So maybe some people might say
it's sometimes true, but that doesn't feel right to me. I say never.
c). |-x| = -|x|
This looks to me like exactly the same situation as (b),
and I would say all the same things about it.
