It is given in the question that
Point N(7, 4) is translated 5 units up.
And we have to find the coordinates of its image after this transformation.
Since the point translated up by 5 units, so the x coordinate remains same and we have to add 5 to y coordinate.
So the new coordinate after the transformation is
![N'(7+5,4) \\ N'(12,4)](https://tex.z-dn.net/?f=N%27%287%2B5%2C4%29%0A%5C%5C%0AN%27%2812%2C4%29)
And that's the required coordinate after the given transformation .
<span>First we have to find the sum and the difference of those polynomials- The sum is: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) + ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5 - 2 x^3y^4 - 7xy^3 - 8 x^5y + 2 x^3y^4 + xy^3 = - 5 x^5y - 6 xy^3. And the difference: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) - ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5y - 2 x^3y^4 - 7 xy^3 + 8 xy^5 - 2 x^3y^4 - xy^3 = 11 xy^5 - 4 x^3y^4 - 8xy^3. The highest exponent in both polynomials is 5. Answer: The degree of the polynomials is 5.</span>
Answer:
Step-by-step explanation:
Im pretty sure its A
Out of the following choices given, if the liquid drips at the rate of 12 cubic inches per minute, it will take approximately 3.14 minutes for all the liquid to pass through the nozzle. The correct answer will be D.
Answer: The required probability is 0.3456.
Step-by-step explanation:
Since we have given that
Probability of winning at any given time = 0.6
Probability of losing at any given time = 1-0.6 = 0.4
Number of total matches = 5
Number of won matches = 3
So, using "Binomial distribution", we get that
![P(X=3)=^5C_3(0.6)^3(0.4)^2\\\\P(X=3)=0.3456](https://tex.z-dn.net/?f=P%28X%3D3%29%3D%5E5C_3%280.6%29%5E3%280.4%29%5E2%5C%5C%5C%5CP%28X%3D3%29%3D0.3456)
Hence, the required probability is 0.3456.