Answer:
6y + 48
Step-by-step explanation:
Use distributive property 6 x y = 6y
(keep the plus sign btw)
6 x 8 = 48
then place it in order: 6y + 48 is your algebra expression
C=2(pi)r use this equation with 9 in place of r
9514 1404 393
Answer:
D. 12
Step-by-step explanation:
There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the two upper-left points, we find the length of that side to be ...
d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2
Similarly, the length of the lower-left side is ...
d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2
Then the area of the rectangle is ...
A = LW
A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12
The area of rectangle ABCD is 12.
_____
Other methods include subtracting the area of the corner triangles from the area of the bounding square:
5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12
Answer:
a) Yes.
Step-by-step explanation:
A function does not have any repeating values for a given x-value. According to the values of the table, there aren't multiple y-values for a given x-value. Therefore, the table represents a function.