Expand and simplify (x – 8) (x – 9)

Antoine folded two paper airplanes that are similar in shape. What is the base of the smaller airplane?  

A ladder leaning against a wall reaches a height of 10 m up the wall and makes an angle of with the ground.  What is the length of the ladder?

A 15 m tall tree casts a shadow that is 3.4 m long.  At the same time of day, another tree casts a shadow that is 5.2 m long.  Calculate the height of this tree.

Identify whether each relation is linear or quadratic.

Ben’s work for solving this system of equations is shown below.  All his work is correct. Which method is he using? System:y = -5 – x 2x + y = 20 Ben’s solution:2x + (-5 – x) = 20 x – 5 = 20 x = 25 y = -5 – (25) y = -30

Jacob goes mountain climbing on a mountain with an arched shape that can be modelled by the equation:y = -0.04×2 + 4.8x, where y represents the height in feet and x represents the horizontal distance in feet.  Use the “Desmos” graphing calculator to determine the height of the mountain. www.desmos.com The height of the mountain is 

What is the height of the platform?

Identify the y-intercept of this quadratic relation:   

If a parabola opens up, then it has a maximum.