A polynomial is a perfect square trinomial if in form
a^2x^2-2ab+b^2
look at each
we can eliminate A and B since we have -b^2 not +b^2
look at the rest
C. 5^2b-3*5*b+3^2
nope
D. 4^2x^2-2*4*3x+3^3
yes
answe is D (factors to (4x-9)^2)
Answer:
7/4
Step-by-step explanation:
As multiplying 4/7 by 7/4 give 28/28 which is equivalent to 1.
Answer: (x–2) and (10x+7)
Step-by-step explanation:
10x^2 – 13x – 14=
10x^2 – 20x + 7x – 14=
10x(x–2) + 7(x–2)=(x–2)(10x+7) ==> 3rd option
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
3 m/h=0.05m/m
.05•5=0.25 m/h I believe?
