Answer:
<h3>
f(x) = -x² + 20x - 96</h3>
Step-by-step explanation:
Parabola f(x) = ax² + bx + c passing through points (8,0) and (12,0) means that 8 and 12 are its root and (x-8) and (x-12) are its factors
So we get:
f(x) = a(x - 8)(x - 12)
The parabola passes through point (13, -5) that means if x=13 then f(x)=-5
So:
-5 = a(13 - 8)(13 - 12)
-5 = a(5)(1)
-5 = 5a
a = -1 {<0 so parabola opens down}
Therefore:
f(x) = -(x - 8)(x - 12)
And expanding:
f(x) = -(x² - 12x - 8x + 96)
So the standard form equation of the parabola:
<u>f(x) = -x² + 20x - 96</u>
D is not equivalent because it equals 4/25 y 5 I think
Answer:
the height of the rectangle is 13 cm
Step-by-step explanation:
The computation of the height of the rectangle is shown below:
As we know that
Area of rectangle = base × height
156 cm^2 = × 12 × height
So, the height is
= 156 ÷ 12
= 13 cm
hence, the height of the rectangle is 13 cm
the answer would be 5 because 5*5 or 5 squared (5^2) is equal to 25, hope this helps!
Answer:
10.4 to nearest tenth.
Step-by-step explanation:
If we draw lines from the centre of the circle to each vertex of the hexagon we get 6 equilateral triangles of side length 2.
Altitude of each triangle = sqrt(2^2 - 1^2)
= sqrt3.
So the area of 1 triangle = 1/2 * 2 * sqrt3
= sqrt3
Therefore the area of the hexagon = 6 * sqrt3
= 6sqrt3
= 10.3923
