Answer:
- solution: (1/(1+m), m/(1+m))
- no solution for m = -1 (lines are parallel)
Step-by-step explanation:
Two distinct lines will always have a point of intersection, provided they are not parallel. That is, the system of equations {x +y = 1, y = mx} will have a unique solution as long as m ≠ -1.
The solution to the system can be found by substitution:
x +mx = 1
x(1 +m) = 1 . . . . factor out x
x = 1/(1+m) . . . . . divide by the coefficient of x; we must have m ≠ -1
y = m/(1+m) . . . . find the y-coordinate of the solution
The point of intersection is (1/(1+m), m/(1+m)).
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The above solution is undefined when the denominator is zero: m = -1. There is no solution for m = -1.
Answer:

Step-by-step Explanation:
==>Given:
Dimensions of a rectangular prism are expressed as follow:
Volume (V) = 15x² + x + 2
Height (h) = x²
==>Required:
Expression of the Base area (B)
==>Solution:
Volume (V) = Base (B) × Height (h)
15x² + x + 2 = B × x²
Divide both sides by x²
![\frac{15x² + x + 2}{x²} = B[tex]Base (B) = /frac{15x² + 1 + 2}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B15x%C2%B2%20%2B%20x%20%2B%202%7D%7Bx%C2%B2%7D%20%3D%20B%3C%2Fp%3E%3Cp%3E%5Btex%5DBase%20%28B%29%20%3D%20%2Ffrac%7B15x%C2%B2%20%2B%201%20%2B%202%7D%7Bx%7D)
Answer:
triangular donde la base tiene 4m y la altura de la base es de 6cm,asi como la altura del prisma de 10m