Find the area of a triangle whose vertices have the coordinates (-1,1) (-1,5) (4,1)
1 answer:
The triangle that forms is a right-angled triangle. To work out the area, you just do the base × height, all divided by 2.
Therefore, you do 5 (the base) × 4 (the height) and you get 20.
Then you divide by 2 to finish the equation and you should find that the total area of the triangle is 10 units² (20 ÷ 2 = 10).
Hope that helps :)
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The true statement about the function f(x) = -x² - 4x + 5 is that:
- The range of the function is all real numbers less than or equal to 9.
The domain of a function is the set of given values of input for which the function is valid and true.
The range is the dependent variable of a given set of values for which the function is defined.
- The domain of the function: f(x) = -x² - 4x + 5 are all real number from -∞ to +∞
For a parabola ax² + bx + c with the vertex
- If a < 0, then the range is f(x) ≤
- If a > 0, then the range f(x) ≥
- Here; a = -1,
The vertex for an up-down facing parabola for a function y = ax² + bx + c is:
Thus,
- vertex
= (-2, 9)
Range: f(x) ≤ 9
Therefore, we can conclude that the range of the function is all real numbers less than or equal to 9.
Learn more about the domain and range of a function here:
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