Answer:
To keep the sum rational, the addend must also be rational. The square root of a number which is not itself a perfect square is irrational, so A cannot be the answer, because the sum would be irrational. B is a rational number and therefore when added to 0.5 produces another rational number, 0.75
Step-by-step explanation:
Pikachu is right.
Undetermined Coefficients (that we learn here) only work when f(x) is a polynomial, exponential, sine, cosine, or a linear combination of those.
And,
As we can see that the equation given is a Polynomial,
So, Pikachu is right.
Learn more about Polynomial:
https://brainly.in/question/3793499
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Answer: The correct option is B.
Step-by-step explanation:
The equation of any circle with a given radius
and coordinates of centre (
,
) is given by:
![(x-\alpha )^{2} +(x-\beta )^{2} =r^{2}](https://tex.z-dn.net/?f=%28x-%5Calpha%20%29%5E%7B2%7D%20%2B%28x-%5Cbeta%20%29%5E%7B2%7D%20%3Dr%5E%7B2%7D)
Here
;
=![(5,-1)](https://tex.z-dn.net/?f=%285%2C-1%29)
Plugging in the values in the given equation,
We get:
![(x-5)^{2} +(x+1 )^{2} =16^{2}=256](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%20%2B%28x%2B1%20%29%5E%7B2%7D%20%3D16%5E%7B2%7D%3D256)
Answer: y = 31
Step-by-step explanation:
The equation of a line is y = mx+b
Plugging in the values, we get
y = 4*8 + (-1)
y = 32-1
y = 31
Answer:
Speed of slower plane = 400 mph
Speed of the faster plane = 440 mph
Step-by-step explanation:
Let x be the speed of the slower plane, in mph.
Thus; the speed of the other plane is x +40 mph.
The distance between two planes decreases at the rate;
x + (x+40) = 2x + 40 mph.
We get the equation
1680/(2X + 40) = 2.
Solve the equation;
We multiply both sides by (2x + 40), to get
1680 = 2*(2x + 40),
1680 = 4x + 80,
4x = 1600.
Hence,
x = 1600/4
= 400 mph.
Therefore; the speed of the slower airplane is 400 mph, while
The speed of the faster is 400 + 40 = 440 mph.