Https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:sequences/x2f8bb11595b61c86:constructing-arithmetic-sequences/v/finding-the-100th-term-in-a-sequence
The sides of the rectangla are its length and width. We know the length is 5m longer than the width. Since we dont know the width, we can say that the width is x and the length is x+5.
The perimeter, as we know, is equal to the sum of all sides. We have two “length” sides and two “width” sides, so our equation is:
x + x + x+5 + x+5 = 46
Lets add all of this:
4x + 10 = 46
4x = 46-10
4x = 36
x = 36/4
x = 9
So our width is 9m and the length is 14m.
The area of a rectangle is width times length, so:
9*14=126m^2.
Answer:
The answer is d
Step-by-step explanation:
A line segment is a portion of an infinite line separated by two end points
The width of the driveway is 5x-2.
The height of the carport is 6x+1.
We complete polynomial long division for both of these.
For the driveway:
Dividing 5x²+43x-18 by x+9, we first see how many times x will go into 5x². It goes in 5x times; we write this in the division problem above 43x. Multiplying back through,
5x(x+9) = 5x²+45x. This goes below 5x²+43x. We now subtract:
5x²+43x-(5x²+45x)= -2x; this goes below the 45x we wrote earlier. Bring down the -18.
Now we see how many times x goes into -2x; it goes -2 times. This goes beside our 5x in our answer at the top. Multiplying back through,
-2(x+9) = -2x-18. This goes below our -2x-18 we had, and gives us an answer of 5x-2 with a remainder of 0.
For the carport:
To divide 48x³+68x²-8x-3 by 8x²+10x-3, we see how many times 8x² will go into 48x³. It will go 6x times; write this above -8x. Multiplying back through,
6x(8x²+10x-3) = 48x³+60x²-18; write this below 48x³+68x²-8x. Now subtract:
48x³+68x²-8x-(48x³+60x²-18) = 8x²+10x; this goes below our 48x³+60x²-18. Bring down the -3.
Now we want to see how many times 8x² will go into 8x². It goes 1 time; write this beside our 6x at the top. Multiplying back through,
1(8x²+10x-3) = 8x²+10x-3; write this below the 8x²+10x-3 we have already down. When we subtract these, we get a remainder of 0, with our answer up top as 6x+1.
