9514 1404 393
Answer:
P = 3x +32
Step-by-step explanation:
If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...
(x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x
where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.
As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...
A = LW = P(2x)
We want this to be the same as the existing area, so ...
2Px = 6x^2 +64x
P = 3x +32 . . . . . divide by 2x
Answer:
Factors can be defined as a number or algebraic expression which divide the dividend without leaving any reminder.
Answer:
$70 is what he would have left. Since each trip is $14 you would multiply that by the amount of times he went which was 11. 14x11 is $154. But you need what he has left so you take his total amount $224-$154 and get $70.
Part b.) 16 times. He has $224 total. You want to find out how many times he can go on the tool roads. We know the toll roads cost $14 each time. So you do $224/14 and get an even amount of 16. He would be able to use it 16 times before he have no money left.
Step-by-step explanation:
The difference between (3x+6y)(3x+6y) and (4x+9y)(4x+9y) is 7x² +36xy+45y²
<h3>What is an Expression ?</h3>
An expression is a mathematical statement which has variables , constants and mathematical operators simultaneously.
The expression given in the question is
(3x+6y)(3x+6y) and (4x+9y)(4x+9y)
the difference when (3x+6y)(3x+6y) is subtracted from (4x+9y)(4x+9y)
(4x+9y)(4x+9y) - (3x+6y)(3x+6y)
16 x² + 36xy+36xy +81y²-9x²-18x -18x -36y²
7x² +36xy+45y²
Therefore in simplest term , The difference between (3x+6y)(3x+6y) and (4x+9y)(4x+9y) is 7x² +36xy+45y²
To know more about Expression
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Answer: 282.60in³
Step-by-step explanation:
When calculating the volume of a cylinder, the formula to use is:
= πr²h
where,
π = 3.14
r = radius = 3 in
h = height = 10 in
Volume = πr²h
= 3.14 × 3² × 10
= 282.60
Therefore, the volume of the cylinder is 282.60in³