Figure A is translated 3 units down and 2 units left. What are the coordinates of N'?A. (8,0)
B (3.0)
C. 13,-1)
D. (7, -1)
E. (3,5)

Final answer:

Upon testing all the given sets of ordered pairs, none of the sets satisfy the equation x + y = 15 as when the x and y values are substituted into the equation, they don't sum up to 15.

Explanation:

The task is to determine which of the given sets of ordered pairs satisfies the given equation, x + y = 15. In order to solve this, we can plug in the x and y values from each ordered pair into the equation to see if the equation holds true.

1. For the set (-3, 14), (0, 15), (3, 16):
   -3 + 14 = 11, which is not equal to 15.
   0 + 15 = 15, which is equal to 15.
   3 + 16 = 19, which is not equal to 15. So this set is incorrect.
2. For the set (-3, 16), (0, 15), (3, 14):
   -3 + 16 = 13, which is not equal to 15.
   0 + 15 = 15, which is equal to 15.
   3 + 14 = 17, which is not equal to 15. So this set is also incorrect.
3. For the set (16, -3), (15, 0), (14, 3):
   16 - 3 = 13, which is not equal to 15.
   15 + 0 = 15, which is equal to 15.
   14 + 3 = 17, which is not equal to 15. So this set is also incorrect.

Therefore, none of the options given are ordered pairs of the equation x + y = 15.

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Final answer:

The correct set of ordered pairs which satisfy the equation x + y = 15 are {(16, -3),(15, 0),(14, 3)}. The other options contain pairs that do not add up to 15.

Explanation:

The question is about identifying the correct ordered pairs from the given equation x + y = 15. An ordered pair is a pair of elements with a particular order, typically used to describe coordinates on a graph. In this case, we need to find the pairs of numbers that, when added together, equal 15.

Looking at the options:

• Option a: {(-3, 14),(0, 15),(3, 16)} - These pairs do not add up to 15.
• Option b: {(-3, 16),(0, 15),(3, 14)} - Only the pairs (0, 15) and (3, 14) add up to 15. The pair (-3, 16) does not.
• Option c: {(16, -3),(15, 0),(14, 3)} - All these pairs add up to 15.

Hence, the correct option is

C

.

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Part (a)

area = (side)^2

side = sqrt(area)

side = sqrt(144)

side = 12 meters

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Part (b)

perimeter = 4*(side)

perimeter = 4*12

perimeter = 48

Therefore, you'll need 48 meters of baseboard.

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Part (c)

n = number of pieces

2.5n = total length of all n baseboards

2.5n = total perimeter

2.5n = 48

n = 48/2.5

n = 19.2

Round this up to the nearest whole number. Do not round to n = 19 as that value is too small. Note how 2.5n = 2.5*19 = 47.5 meters, which is 0.5 meters short of the goal of 48 meters.

But if n = 20 then 2.5n = 2.5*20 = 50 meters. We'll have 2 extra meters of baseboard.

Therefore, you need 20 pieces of baseboard.

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Answers:

(a)  side length = 12 meters

(b)  48 meters of baseboard

(c)  20 pieces

Final answer:

The length of a side of a room with an area of 144m^2 is 12m. The total amount of baseboard needed is the perimeter, which is 48m. If each piece of baseboard is 2.5m, then you would need 20 pieces to cover the room.

Explanation:

The area of a square is calculated by squaring the length of one of its sides. Therefore, if the area is 144m2, the length of one side can be found by taking the square root of the area, which is 12m.

Baseboard is usually required to be placed around the entire room, so you'd need to find the perimeter of the square. The perimeter of a square is four times the length of one side, therefore, 12m x 4 = 48m.

As for the number of baseboard pieces, each piece is 2.5m long. So the total number of pieces needed would be the total length of baseboard (48m) divided by the length of each piece (2.5m). This equals 19.2, but since you can't use 0.2 of a piece, you'd need to round up, resulting in 20 pieces being needed.

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Answer:

DDDDDDDDDDDDDd

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

its steeper than the others