The spider's movement is an illustration of a parabola.
- The equation of a parabola is:

- The focus of a parabola is: (40,-30)
- The axis of symmetry is:

- The directrix is:

<u>(a) The equation</u>
The spider passes through the origin.
So, we have:

The spider jumps to a maximum height of 10mm, midway 80mm.
So, the vertex is:

The equation of a parabola is:

So, we have:

Subtract 10 from both sides


Solve for a

Substitute
and
in 

<u>(b) The focus, directrix and the axis of symmetry</u>
The focus of a parabola is:

Where:

So, we have:



So, we have:


The axis of symmetry is:

So, we have:

The directrix is:



Read more about parabolas at:
brainly.com/question/25237745
Answer:
3) r = 1.5
7) y = 18
11) x = -10
Step-by-step explanation:
3) Isolate the variable by dividing each side by factors that don't contain the variable.
7) Solve for y by simplifying both sides of the equation, then isolating the variable.
11) Move all terms that don't contain x to the right side and solve.
Answer:
Step-by-step explanation:8/3 = T (2.2 + 3*2.2) = 4*2.2 T
T = 2/6.6 Hr = 1/3.3 hr
so how long did the bird fly? t+T
4/6.6 + 2/6.6 = 6/6.6 hours
and how far did it go?
6.6 + 6/6.6*6.6 = 2*6.6 = 13.2km
Answer:
n>-15/6
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks