Answer:
- domain: -∞ < x < ∞
- range: -2 ≤ y < ∞
Step-by-step explanation:
<u>Domain</u>
The domain is the horizontal extent of the function, the set of input values for which it is defined. A parabola that opens up or down is defined for all x values, so its domain is ...
-∞ < x < ∞ . . . . . . (-∞, ∞) in interval notation
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<u>Range</u>
The range is the vertical extent of the function, the set of output values it produces. The vertex of the parabola is one extreme of the range. Depending on the direction it opens, the other extreme will be +∞ or -∞. The range includes the y-value of the vertex. Here, the range is ...
-2 ≤ y < ∞ . . . . . . [-2, ∞) in interval notation
Answer:
Step-by-step explanation:
From the upper isosceles triangle,
The answer is: x=±√5y [Note: If and only if at the lower triangle is NOT isosceles]
Exterior angle to the isosceles triangle = 2(2x^2 – 2x) [because the exterior angle of a triangle is equal to the sum of two opposite interior angles]
Therefore, the exterior angle = 4x^2 – 4x
Also,
The exterior angle is equal to the sum of the two interior base angles of the lower triangle
Thus, 4x^2 – 4x=(3x^2+4x) + (5y – 8x)
By collecting like terms,
4x^2 – 3x^2 – 4x – 4x + 8x – 5y = 0
x^2 – 5y = 0
x^2 = 5y
By taking the square root of both sides
x=±√5y
Learn more about triangles at brainly.com/brainly.com/question/29069807
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Answer:
Step-by-step explanation:
y + 3 = 5/3(x - 2)
y + 9/3 = 5/3x - 10/3
y = 5/3x - 19/3
B. 107 bc 26.5+34.2= 60.7+45.8= 106.5 round that to be 107.
