The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.
- <em>The equation for f(l) is: </em>
<em>.</em> - <em>The desired length and width are 8m and 4m</em>
<em />
Given that:
Divide both sides by 2
<u>Equation of f(l)</u>
The sum of the length and the width is represented as: f(l).
So, we have:
Substitute
See attachment for the graph of f(l)
<u>The desired dimension</u>
From the question, we understand that the total length is 12m.
This means that:
So, we have:
Divide both sides by 1.5
Recall that:
Hence, the desired length and width are 8m and 4m, respectively.
Read more about linear equations at:
brainly.com/question/2263981
Answer:
Substitution
Step-by-step explanation:
tbh i havent checked so sorry if its wrong
Answer:
Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.
Step-by-step explanation:
By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.
Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.
By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.
Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625
y^2-y^2+0.5y+2.25–4.0625=0
0.5y- 1.8125=0
0.5y=1.8125
y=1.8125/0.5= 3.625
Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder
Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625
L^2=13.140625–0.90625+4.0615=15.390625
L= (15.390625)^1/2= 3.92 meters length of ladder
<em>hope it helps...</em>
<em>correct me if I'm wrong...</em>
What variable are you solving for?
