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gavmur [86]
3 years ago
11

the algebraic expression 6(2x)+9x+3 represents the area of a rectangle .what is the the area of the rectangle when x =3 feet

Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

66. Assuming after you substituted 3 in place of x, you followed order of operations, or PEMDAS.

Step-by-step explanation:

6(2x) + 9x +3 = area

6 (2(3)) + 9(3) + 3 = area

6 x 6 + 27 + 3 = area

36 + 30 = 66

area = 66

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A. y= 1/2x-14<br> B. y=1/2x-5<br> C. y=2x-14<br> D. y=2x-5
DanielleElmas [232]

Answer:

B. y=1/2x-5

Step-by-step explanation:

From the graph, we read the slope of line JK.

slope = rise/run = -3/-6 = 1/2

The equation we need has the same slope.

y = mx + b

y = (1/2)x + b

It passes through point P(6, -2). Now we find b.

-2 = (1/2)(6) + b

-2 = 3 + b

b = -5

The equation is

y = (1/2)x - 5

6 0
2 years ago
Multiplying binomials please help ASAP(10 points)
Gemiola [76]

Step-by-step explanation:

hope it helped you:)

have a nice day!

6 0
3 years ago
What is the sum os the interior angles of the polygon?
RSB [31]
To find the suum the formula is (n - 2) x 180 degrees
4 0
4 years ago
A map of a highway has a scale of 2 inches = 39 miles. The length of the highway on the map is 9 inches. There are 7 rest stops
Jlenok [28]

Scale : 2 inches = 39 miles

The length of the highway on the map is 9 inches -> the real length of it = 39 x 9 : 2 = 175.5 (miles)

There are 7 rest stops equally spaced => There are 7-1 = 6 equal distance between the rest stops

So, every rest stop is 175.5 : 6 = 29.25 miles apart from each other.

With a scale of 1 inch = 30 miles, each rest stop will be 29.25 : 30 = 0.975 inches apart from each other on the new map.

8 0
2 years ago
Consider a set of one-dimensional points: 6, 12, 18, 24, 30, 42, 48.
Vinvika [58]

Answer:

1) With initial centroids 10-40, final clusters are

first cluster (6,12,18,24,30)

second cluster (42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 378

2) With initial centroids 10-20, final clusters are

first cluster (6,12,18,24)  

second cluster (30,42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 348

Step-by-step explanation:

K-means works as follows

  • the points will be clustered according to their distance to the centroids.
  • Then centroids are updated as the cluster means.
  • This process continues until clusters doesn't change anymore

1)  <u><em>initial centroids</em></u> 10-40

first cluster (6,12,18,24)  mean:15

second cluster (30,42,48) mean:40

<u><em>new centroids</em></u> 15-40

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

<u><em>final centroids</em></u> 18-45

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

Sum of Squared errors = (18-6)^{2}+(18-12)^{2}+(18-18)^{2}+(18-24)^{2}+(18-30)^{2}+(45-42)^{2}+(45-48)^{2}=378

2)<u><em>initial centroids</em></u> 10-20

first cluster (6,12)  mean:9

second cluster (18,24,30,42,48)  mean:32.4

<u><em>new centroids</em></u> 9-32.4

first cluster (6,12,18) mean:12

second cluster (24,30,42,48) mean:36

<u><em>new centroids</em></u> 12-36

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

<u><em>final centroids</em></u> 15-40

first cluster (6,12,18,24) mean:15  

second cluster (30,42,48) mean:40

Sum of Squared errors = (15-6)^{2}+(15-12)^{2}+(15-18)^{2}+(15-24)^{2}+(40-30)^{2}+(40-42)^{2}+(40-48)^{2}=348

6 0
3 years ago
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