First, you should try to find the sum of the two legs. Because the triangle is isosceles so the legs (b) are equal, than the sum of the two legs:
41*2 ≤ 2b ≤ 43*2 simplified is: 82 ≤ 2b ≤ 86
But we aren't done, for the perimeter also includes the base of the triangle, which is a. Since we already know the sum of the legs, we simply have to add the base (a) to the legs.
Sum of Legs: 82 ≤ 2b ≤ 86
Base: 26 ≤ a ≤ 28
Perimeter (a+2b): 82+26 ≤ P ≤ 86+28 Which simplified: 108 ≤ P ≤ 114
Answer:
y = -x + 3
Step-by-step explanation:
Answer:
7 1/2+ 7 1/2=146 of 146 Kerry and Eric ran the same amount each
Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.
Answer:
607,261
Step-by-step explanation: