9514 1404 393
Answer:
y +1 = -3(x -3)
Step-by-step explanation:
The given point is (3, -1), and the given slope is -3. The form suggests you want the point-slope form of the equation for the line:
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Using the given values, the equation is ...
y -(-1) = -3(x -3)
y +1 = -3(x -3)
The vertex (minimum) of the quadratic ax² +bx +c is located at x=-b/(2a). This means the minimum value of f(x) will be found at x = -3/(2*1) = -1.5.
Since the vertex of the quadratic is less than 0, the maximum value of the quadratic will be found at x=2, the end of the interval farthest from the vertex.
On the given interval, ...
the absolute minimum value of f is f(-1.5) = ln(1.75) ≈ 0.559616
the absolute maximum value of f is f(2) = ln(14) ≈ 2.639057
Diameter = 8 yards so the Radius = 4 yards:
Area of a sphere = 4π.R² and hemisphere = 2π.R²
Area of hemisphere = 2.π.(4)² = 32.π
But note we didn't calculate yet the are that closes this hemisphere:
Area of the cicle = π.R² = π.(4)² = 16.π, so the surface area of the hemisphere is 32π + 16π = 48.π (Or =150.8 yard²)
Answer:
yes
Step-by-step explanation:
Error=100 calculated/actual
error=100 (175-97.5) / 97.5
error=100 (77.5) / 97.5
error=7750 / 97.5
error=77500 / 975
error=3100 / 39
error=79.5% <-- Estimated