Answer:
C = 10
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
You have a and b already, a = 6, b = 8
solve this to get
C = 10
Apply the same to the other 2 triangles. C is your longest side!
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Answer:
<u>The only x-intercept is x = 1</u>
Step-by-step explanation:
The equation is:
We can substitute y for r(x), to write in the notation:
To get y-intercept, we put x = 0
and
To get x-intercept, we put y =0
We want to find x-intercepts here, so we substitute 0 into y and solve for x. Shown below:
<u>The only x-intercept is x = 1</u>
Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9