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vodka [1.7K]
3 years ago
13

Write the functions by the graphs F(x)= G(x)= H(x)=

Mathematics
1 answer:
Alborosie3 years ago
8 0

Answer:

f(x) = |x|

g(x) = |x| - 2

h(x) = |x| + 3

Step-by-step explanation:

All the functions graphed represent the absolute value functions.

Since function g(x) passes through (0, 0) and (1, 1),

Let the equation of a line passing through these points is,

y = mx + b

Slope of the line passing through these points 'm' = \frac{\text{Rise}}{\text{Run}}=\frac{1-0}{1-0}

m = 1

y-intercept of the line 'b' = 0

Therefore, equation of the line will be,

y = x

And the function representing the two lines (both are the mirror images) joining at the origin will be,

f(x) = |x|

When the parent function is shifted 3 units up, the new function will be

h(x) = |x| + 3

When the parent function is shifted 2 units down,

g(x) = |x| - 2

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Step-by-step explanation:

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Step-by-step explanation:

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The lengths of the sides of the triangle are 3, 8, and 10. Is the triangle a right triangle, acute triangle, or an obtuse triang
weqwewe [10]

Answer:

Obtuse

Step-by-step explanation:

  1. You have to make sure it is a triangle by adding the smallest and the medium sides, if the result is greater than the bigger side then it is a triangle.
  2. you then use the Pythagorean theorem to check if the triangle is a right triangle, acute, or obtuse. If c^{2} = a^{2} +b^{2} then it is a right triangle. If c^{2} >a^{2} + b^{2} then it is an obtuse triangle. if c^{2} < a^{2} +b^{2} then it is an acute triangle.
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  3. 70_100
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in this case c^{2} is greater than a^{2} +b^{2} therefore, is it an obtuse triangle.

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Answer:

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