Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25
Answer:
1. Yes 2. No 3. Yes 4. No
Step-by-step explanation: 1 is a function because none of the x values repeat, 2 isn't a function because in the x coordinates, -2 repeats, 3 is a function because if you were to draw a (vertical) line through each point, none of them have two points on one line, 4 is a function because none of the x coordinates point to more than one y coordinate
Answer:
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If you give the clues I could help.
A right triangle has one 90°angle, and the sum of the 2 other angles equals 90.
an equilateral triangle has all sides and angles of the triangle congruent. each angle will equal 60°
an isosceles triangle has 2 congruent sides and 2 congruent angles.
a scalene triangle has no equal sides or equal angles.
an obtuse triangle has one angle that is greater than 90°
an acute triangle has all angles that are less than 90°
Hope this helps you classify your triangles!