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OverLord2011 [107]
3 years ago
13

Determine the X- and Y- intercepts for the graph defined by the given equation. Y= -8

Mathematics
2 answers:
USPshnik [31]3 years ago
8 0

Answer: Y = -8 simply means for every x coordinate the y coordinate is -8, therefore it creates a horizontal line at y = -8.

X intercepts are when y = 0. Y intercepts are when x = 0.

In this case of the line, y = -8 there is no x intercept because y doesn’t equal 0.

However there is a y intercept at (0,-8) because y is -8 for every input including 0.

Step-by-step explanation:

Hope this helps!!

Cloud [144]3 years ago
4 0
Y = -8 simply means for every x coordinate the y coordinate is -8, therefore it creates a horizontal line at y = -8.

X intercepts are when y = 0. Y intercepts are when x = 0.

In this case of the line, y = -8 there is no x intercept because y doesn’t equal 0.

However there is a y intercept at (0,-8) because y is -8 for every input including 0.

If you have any other questions feel free to ask.
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Complete Question

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a² + b² = c², which in this isosceles triangle becomes a² + a² = c². By combining like terms, 2a² = c². Which final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg?

a) substitute values for a and c into the original pythagorean theorem equation.

b) divide both sides of the equation by two, then determine the principal square root of both sides of the equation.

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d) divide both sides of the equation by 2.

Answer:

c) determine the principal square root of both sides of the equation.

Step-by-step explanation:

Pythagoras Theorem for a right angled triangles states that:

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a²+ a² = c²

By combining like terms

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We square root both sides of the equation.

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√2a² = c

The final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg = √2a² = c is Option c.

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