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.
Answer:
(25, 20 ) represents that the dimension of the coral is 25 feet long and 20 feet wide.
Step-by-step explanation:
The general representation P(x,y) represents the Cartesian Representation of a point in a 2 Dimension.
Here, x represents the distance of the point P from y axis to the x axis.
and y represents the distance of the point P from x axis to the y axis.
(x, y) together gives the 2 dimensional representation of the point P.
Now here, the given coordinates are (25, 20)
So, here x = 25 and y = 20
So, (25, 20 ) represents that the dimension of the coral is 25 feet long and 20 feet wide.
Hence, option 3 is the most appropriate.
Answer:
72°
Step-by-step explanation:
The cookie has a shape of a circle. A circle is the locus of a point such that its distance from a point (center) is always the same. The sum of angles around the circle center is 360°.
Let x be the measure of the angle in each slice. Therefore the sum of the total 5 slice is:
x + x + x + x + x = 360
5x = 360
Dividing through by 5:
5x / 5 = 360 / 5
x = 72°
Each slice has an angle measure of 72°
Answer:
$855,000
Step-by-step explanation:
$855,000 it's alot of money.
I helped you a lot... I'm sure you will pass
Answer: The center is (-7, 4) and the radius is 7.
Step-by-step explanation:
The equation for a circle usually is:
(x - a)^2 + (y - b)^2 = R^2
where R is the radius, and (a, b) is the center of the circle.
I guess that the equation in this case is:
(x + 7)^2 + (y - 4)^2 = 49
then, in this case we have:
a = -7 and b = 4, then (a, b) = (-7, 4)
this means that the center of our circle is in the point (-7, 4)
and we know that:
R^2 = 49
R = √49 = 7
Then the radius is equal to 7.
