Solve this linear equation. Show all workings
2 answers:
You might be interested in
<u>Answer:</u>
a) Height of the ledge is 1.6 m.
b) roots of the equation are: ,
c) Maximum height reached = 1.8 m.
<u>Step-by-step explanation:</u>
a) The height of the ledge is the same as the height at which Jake is when he hasn't moved any horizontal distance from the ledge yet, that is, when d = 0:
⇒
∴ Height of the ledge is 1.6 m.
b) The x-intercepts occur where y = 0, that is when h = 0:
Divide both sides of the equation by -0.8:
Factorizing:
⇒
⇒
⇒
⇒ or
∴ roots are : ,
c) To find the maximum value of a quadratic equation in the form
y = ax² + bx + c , use the formula:
max = c - (b² / 4a).
Using the formula for :
max <em>h </em>=
= 1.8
∴ Maximum height reached = 1.8 m.