None of the answers are correct because it’s definitely not “Given” because x=20 is like an answer. It’s also not “Distributive Property”, “subtraction Property”, and or “Additional Property” b/c there’s nothing that can be distributed, subtract or add. It’s just an answer.
For this, we need to know the length of the base at the time of interest. It will be
... A = (1/2)bh
... b = (2A)/h = 2(81 cm²)/(10.5 cm) = 108/7 cm
Differentiate the formula for area and plug in the given numbers.
... A = (1/2)bh
... A' = (1/2)(b'h +bh')
... 3.5 cm²/min = (1/2)(b'·(10.5 cm) + (108/7 cm)·(2.5 cm/min))
... 7 cm²/min = 10.5b' cm + 38 4/7 cm²/min . . . . simplify a bit
... -31 3/7 cm²/min = 10.5b' cm . . . . . . . . . . . . . . . subtract 38 4/7 cm²/min
... (-220/7 cm²/min)/(10.5 cm) = b' ≈ -3.0068 cm/min
The base is changing at about -3 cm/min.
Answer:
3.6 + 2.3 = 5.9
4.2 + 2.3 = 6.5
3.3 + 2.3 = 5.6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let ![m=x^2-5](https://tex.z-dn.net/?f=m%3Dx%5E2-5)
We want to express the equation
in terms of m.
Given: ![(x^2-5)^2-3x^2+15=-2](https://tex.z-dn.net/?f=%28x%5E2-5%29%5E2-3x%5E2%2B15%3D-2)
Factorizing the third and fourth term, we obtain:
![(x^2-5)^2-3(x^2-5)=-2](https://tex.z-dn.net/?f=%28x%5E2-5%29%5E2-3%28x%5E2-5%29%3D-2)
Substituting
, the above equation becomes:
![m^2-3m=-2](https://tex.z-dn.net/?f=m%5E2-3m%3D-2)
Since the options are not given, the equivalent equation is:
![m^2-3m=-2](https://tex.z-dn.net/?f=m%5E2-3m%3D-2)
It could also be written in a rearranged form as:
![m^2-3m+2=0](https://tex.z-dn.net/?f=m%5E2-3m%2B2%3D0)
3.2 because I used my calculator which is all you need to do for this problem and I just answered the question on my quiz