Answer:
Hence the dimensions are 5×5 i.e. 5 meters and 5 meters such that its field would be as large as possible.
Step-by-step explanation:
Darek's dad has a 20 m fencing mesh.
Since we have to make a rectangular garden with he help of fencing the garden using this mesh, that means perimeter of this garden is 20 m.
i.e. 2( l+b)=20
also we have to fenced in such a way that its field would be as large as possible.
ie. it has the largest Area.
Now we will start from the dimensions possible as:
9×1 whose area will 9 m^2 (since Area=l×b)
Next dimension will be:
8×2 whose area will be 16 m^2
Next will be:
7×3 whose area will be 21 m^2
Next will be:
6×4 whose area will be 24 m^2
Next will be:
5×5 whose area will be 25 m^2
Next will be:
4×6 whose area will be same as of 6×4.
Hence, we get the maximum area to be 25 m^2 which is obtained when the dimensions are 5×5.
Answer:
16: y=4x+14 17: 12 18: when you simplify it all individually you get x=3 for both equations. 19: $6.69
Step-by-step explanation:
16:y-2=4(x+3) distribute 4 and get y-2=4x-12. Add 2 to both sides to get y-4x+14.
17:x+2y=4 and 3x+6y=? divide 3x+6y by three and you get x+2y=4. This means you can just multiply the 4 by 3 to get the answer.
18:3x-5=4 and 3x-3=6. For the first one add 5 to both sides to get 3x=9 then divide both side by 3 to get x=3. For the second one add 3 to both sides to get 3x=9. Again divide both sides by three to get x=3.
19: $18-$4.62=13.38 since he wants 2 models divide 13.38 by 2 to get 6.69.
Answer:
x = 2.5 or -0.8
Step-by-step explanation:
Here, we are to use completing the square method to solve for the values of x
Firstly, we divide through by 4
= x^2 -7/4x -2 = 0
Now, we move the two term to the right hand side
x^2 -7/4x = 2
Now, we divide the coefficient of x by 2 and square it;
That would be;
(-7/4 * 1/2)^2 = 49/64
we now add this value to both sides of the equation
x^2 -7/4x + 49/64 = 2 + 49/64
The right hand side can be rewritten as;
(x-7/8)^2 = 177/64
taking the square root of both sides
x-7/8 = √(177/64)
x = 7/8 ± √(177/64)
x = 7/8 + √(177/74) or 7/8 - √(177/64)
= x = 2.53802 or -0.788017
Which to the nearest tenth is
x = 2.5 or -0.8
I think the answer is 4.20 hours and minutes planning the last road trip .
