Which of the following graphs would represent the solution set for y > 4/5 x – 1?
2 answers:
Answer:
The correct option is 1.
Step-by-step explanation:
The given inequality is
The related equation of the given inequality is
Put x=0,
Therefore the y-intercept is (0,-1).
Put y=0,
Therefore the x-intercept is .
Check the given inequality by (0,0).
This statement is true, therefore the shaded region of inequity is towards the origin.
So, option 1 is correct.
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The length (L) of the rectangle can be written as a function of the width (W)
:
Now since we know Area = Width*Length, we can write the area as a function of the width:
Distributing the W inside the parentheses we have:
We know the area is 54 ft^2, so we can rewrite it as:
Now solve for W by factoring (or by applying the quadratic formula):
Factor out a common 2W from the first two terms and a 9 from the last two terms:
Regroup the terms to get our fully factored equation:
This gives us the roots W = 6 and W = -9/2, but width can't be negative so we have width = 6 ft. Then remember that the length L = 2W - 3, so our length is:
So now we know that our rectangle is 9 feet long and 6 feet wide.
Now since we know Area = Width*Length, we can write the area as a function of the width:
Distributing the W inside the parentheses we have:
We know the area is 54 ft^2, so we can rewrite it as:
Now solve for W by factoring (or by applying the quadratic formula):
Factor out a common 2W from the first two terms and a 9 from the last two terms:
Regroup the terms to get our fully factored equation:
This gives us the roots W = 6 and W = -9/2, but width can't be negative so we have width = 6 ft. Then remember that the length L = 2W - 3, so our length is:
So now we know that our rectangle is 9 feet long and 6 feet wide.
Answer:
u ≈ 5.7
Step-by-step explanation:
Using the Sine rule in Δ TUV, that is
=
, substitute values
=
( cross- multiply )
u × sin26° = 2.5 × sin85° ( divide both sides by sin26° )
u = ≈ 5.7 ( to 1 dec. place )