Firstly, the equation to find the axis of symmetry is $x=\frac{-b}{2a}$ , with b = x coefficient and a = x^2 coefficient. The equation equation can be solved as such:

$x=\frac{-5}{2*1}\\\\x=\frac{-5}{2}\\\\x=-2.5$

Since the vertex falls on the axis of symmetry, we know that the x-coordinate of the vertex is -2.5. Now to solve for the y-coordinate, plug in x with -2.5 and solve as such:

$f(-2.5)=(-2.5)^2+5*(-2.5)-6\\ f(-2.5)=6.25+(-12.5)-6\\ f(-2.5)=-12.25$

Now putting it all together, our minimum value (vertex) is (-2.5,-12.25).

6 0

2 years ago

Find the perimeter of the figure to nearest hundredth<br> 20mm, 20mm, 16mm

bearhunter [10]

Answer:

The perimeter is 56mm

Step-by-step explanation:

N/B: the figure is not given, nevertheless we can infer that the figure is a triangular figure given that the lengths provided is just three.

So the perimeter is the distance around the object.

Perimeter =20+20+16= 56mm

Also see attached a rough sketch for your reference.

8 0

3 years ago