the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.
the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :), the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex
well
Answer:153.9 cm
Step-by-step explanation:
The area of a circle is found by pi × radius squared and pi is aprox 3.14 so 3.15×7² = 153.86 then round off to the nearest tenth you get 153.9
Call x and y those angles. If they are complementary, then their sum equals 90°:
x + y = 90°
y = 90° - x
The ratio of them is 5 to 1. So,
x/y = 5/1
x/(90° - x) = 5/1
x = 5 * (90° - x)
x = 450° - 5x
x + 5x = 450°
6x = 450°
x = 450°/6
x = 75°
The measure of the other angle is
y = 90° - 75°
y = 15°
The angles are 75° and 15°.
I hope it helps. =)
Answer:
p = - 5
Step-by-step explanation:
The vertex of the function is (0.5, 30.25 )
Since the roots are (6, 0) and (p, 0) then the axis of symmetry is vertical
with equation x = 0.5
The axis of symmetry passes through the midpoint of the roots, thus
= 0.5 ( multiply both sides by 2 )
6 + p = 1 ( subtract 6 from both sides )
p = - 5
