Hmm
(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2
basically
for
ax^2+bx+c
it is a perfect trinomial when
b=2(√a)(√c)
remember to take both positive and negative roots into consideration
because
(a+b)^2=a^2+2ab+b^2 and
(a-b)^2=a^2-2ab+b^2
see each
first one
-70=2(9)(4)
-70=72
false
second
-90=2(8)(5)
-90=80
false
third
-72=(9)(4)
-72=72
false
but, the last one could be negative
(9x-4)^2 is factor
that is the answer
the answer is 81x^2-72x+16
Answer:
Step-by-step explanation:
DEF= 6 ft^2
A= 1/2*b*h
Plug in what you know.
6= 1/2*4*h
Multiply like terms.
6=2*h
Divide 2 on both sides.
3=h
If the base of ABC= 12
12/4=3
3*3=9
A= 1/2*b*h
A= 1/2*12*9
A= 1/2*84
A= 42
The area of ABC is 42 ft^2
I hope this helps!
~kaikers
Answer:
(−∞,4)
Step-by-step explanation:
Explanation:
To determine the interval that f(x) is increasing.
increasing when f'(x)>0f'(x)=−2(x−4)← using chain rule
solve −2(x−4)>0
⇒−2x+8>0
⇒x<4
interval is (−∞,4)
graph{-(x-4)^2-3 [-8.89, 8.89, -4.445, 4.44]}
Answer: Domain of function is 
or (0, 
)
Step-by-step explanation:
Assuming x as width of rectangle
so, Width = x
Question says, Length is 5in more than 3 times id width.
we write as Length = 3x+5
Therefore, Area of rectangle will be given function f(x)
f(x) = x(3x+5)
Here, It is important to notice that width and length of rectangle will always be positive values and also, area of rectangle is always positive.
we can write in equation as
Thus, Domain of function is or (0, )
