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3 years ago

Which inequality is represented by this graph? Also, if someone could tell me how this works that would be great :D

Mathematics

1 answer:

inysia [295]3 years ago

5 0

Answer:

y > -1/6 x+1

Step-by-step explanation:

The graph line is dotted. Dotted lines means greater than or less than. ( <, >)

Solid lines means less than or equal to or greater than or equal to (≤,≥)

Since the graph is shaded above the line, that means y is greater than the line. If it were shaded below the line, y would be less than.

y > -1/6 x+1

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3 years ago

Graph the line given by 2x+y=1 and the circle given by x²+y²=10.Find all solutions to the system of equations. Verify your resul

Aleksandr-060686 [28]

Answer:

(1.8, -2.6) and (-1, 3)

Step-by-step explanation:

$2x+y=1$

$x^2+y^2=10$

From the first equation

$y=1-2x$

Applying to the second equation

$x^2+(1-2x)^2=10\\\Rightarrow x^2+1+4x^2-4x=10\\\Rightarrow 5x^2-4x-8=0$

Solving the equation we get

$x=\frac{-\left(-4\right)+\sqrt{\left(-4\right)^2-4\cdot \:5\left(-9\right)}}{2\cdot \:5}, \frac{-\left(-4\right)-\sqrt{\left(-4\right)^2-4\cdot \:5\left(-9\right)}}{2\cdot \:5}\\\Rightarrow x=1.8, -1$

At x = 1.8

Applying in first equation

$2\times 1.8+y=1\\\Rightarrow y=1-3.6\\\Rightarrow y=-2.6$

At x = -1

Applying in first equation

$2\times -1+y=1\\\Rightarrow y=1+2\\\Rightarrow y=3$

∴ The circle and line intersect at points (1.8, -2.6) and (-1, 3)

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3 years ago