Answer:
V=160cm^3
Step-by-step explanation:
V=lhw
V=5•4•8
V=20•8
V=160cm^3
^-^ your welcome
Step-by-step explanation:
xy + 10 = 0. => y = -10/x.
2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.
When -10/x = -2/3 x + 7/3,
-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.
=> 2x² - 7x - 30 = 0
=> (2x + 5)(x - 6) = 0
=> x = -2.5 or x = 6.
dy/dx = d/dx [-10/x] = 10/x².
When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.
When x = 6, dy/dx = 10 / (6)² = 5/18.
Hence the gradients at the points are 1.6 and 5/18.
Answer:
The slope of the line is the ratio of the rise to the run, or rise divided by the run.
Step-by-step explanation:
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Answer:
Step-by-step explanaAnswer:
\frac{-2y+5x}{3x-2y}
Step-by-step explanation:
Given:
\frac{\frac{-2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}
To simplify this expression, first make the addition and the subtraction, to get:
\frac{\frac{-2y+5x}{xy}}{\frac{3x-2y}{xy}}=
Next, simplify the two denominators, to get:
\frac{-2y+5x}{3x-2y}tion: