Given:
The system Mx+Ny=P has a solution (1,3) where Rx+Sy=T; <span>M, N, P, R,S and T are non-zero real numbers.
Solve for M, N, R, P, S, T:
M +3N = P
R + 3S = T
The given choices should simplify to the equations above.
A) Mx +Ny = P
7Rx + 7Sy = 7T
7(Rx + Sy) = 7T
Rx + Sy = T
remarks: CORRECT
B) (M+R)x + (N+S)y = P + T
Rx + Sy = T
Mx + Rx + Ny + Sy = P + T
Mx + Ny + T = P + T
Mx + Ny = P
remarks: CORRECT
C) Mx + Ny = P
(2M - R)x + (2N - S)y = P - 2T
2Mx - Rx + 2Ny - Sy = P - 2T
2(Mx + Ny) - (Rx + Sy) = P - 2T
2P - (Rx + Sy) = P - 2T
remarks: INCORRECT
</span>
The length of the curve 
from x = 3 to x = 6 is 192 units
<h3>How to determine the length of the curve?</h3>
The curve is given as:
from x = 3 to x = 6
Start by differentiating the curve function
Evaluate
The length of the curve is calculated using:
This gives
![L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx](https://tex.z-dn.net/?f=L%20%3D%5Cint%5Climits%5E6_3%20%7B%5Csqrt%7B1%20%2B%20%5Bx%289x%5E2%20%2B%206%29%5E%5Cfrac%2012%5D%5E2%7D%5C%20dx)
Expand
This gives
Express as a perfect square
Evaluate the exponent
Differentiate
Expand
L = (6³ + 6) - (3³ + 3)
Evaluate
L = 192
Hence, the length of the curve is 192 units
Read more about curve lengths at:
brainly.com/question/14015568
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There are 12 inches in a foot so we can work this problem out in inches 3/5 is 80%......80% of 12 inches is 9.6 inches ....1/4 is 3 inches and 2/3 is 8 inches so we have 9.6,3,and8 now we multiply 9.6*3*8 for the answer to be 230.4 inches squared
Answer:
a
Step-by-step explanation:
this property states a line or shape is always equal to itself
