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9966 [12]
3 years ago
15

Please answer Which value of x is a solution to this equation?

Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

Answer:

1.2

Step-by-step explanation:

1) factor this equation:

36*5=180

so what*what=180

and what+what=-36

-30*-6=180

and

-30-6=-36

substitute -30x and -6x in place of -36x

5x^2-30x-6x+36

split in two groups:

group a) 5x^2-30x

(gcf of 5x)

5x(x-6)

group b) -6x+36

-6(x-6)

(5x-6)(x-6)=0

5x-6=6/5 or 1.2

x-6=6

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What is the area of the trapezoid?
ExtremeBDS [4]
<h2>Answer:</h2>

42 square units

<h2>Step-by-step explanation:</h2>

For a better understanding, I add an EFGH Rectangle.

The area of EFGH Rectangle = p x l

The area of EFGH Rectangle = 10 x 8

The area of EFGH Rectangle = 80cm²

The area of BHA Triangle = 1/2 x a x t

The area of BHA Triangle = 1/2 x a x t

The area of BHA Triangle = 1/2 x 6 x 4

The area of BHA Triangle = 2 x 6

The area of BHA Triangle = 12cm²

The area of AGD Triangle = 1/2 x a x t

The area of AGD Triangle = 1/2 x 4 x 2

The area of AGD Triangle = 4cm²

The area of CFD Triangle = 1/2 x a x t

The area of CFD Triangle = 1/2 x 2 x 6

The area of CFD Triangle = 6cm²

The area of BEC Triangle = 1/2 x a x t

The area of BEC Triangle = 1/2 x 8 x 4

The area of BEC Triangle = 4 x 4

The area of BEC Triangle = 16cm²

The area of the trapezoid = EFGH Rectangle - (BHA Triangle + AGD Triangle + CFD Triangle + BEC Triangle)

The area of the trapezoid = 80 - (12 + 4 + 6 + 16)

The area of the trapezoid = 80 - 38

The area of the trapezoid = 42cm²

<h3>Conclusion :</h3>

The area of the trapezoid is <u>42 square units</u>

7 0
2 years ago
Please help me with these questions!!
Gnesinka [82]

Answer:

truck is 100mph

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Jackson and his sister ran a hose from a bucket into their swimming pool. The hose sprays 1/3 of a gallon from the bucket every
kodGreya [7K]

Answer:

96 seconds are taken to empty the bucket.

Step-by-step explanation:

According to this question, Jackson and his sister are spraying from the bucket from the bucket at constant rate. Dimensionally speaking, discharge time (t), measured in seconds, is the ratio of volume of bucket (V), measured in gallons, to the volume flow from hose (\dot V), measured in gallons per second. That is:

t = \frac{V}{\dot V} (1)

If we know that V = 32\,gal and \dot V = \frac{1}{3}\,\frac{gal}{s}, then discharge time is:

t = \frac{32\,gal}{\frac{1}{3}\,\frac{gal}{s}  }

t = 96\,s

96 seconds are taken to empty the bucket.

8 0
3 years ago
What is the factored form of 6n^4-24n^3+18n
Contact [7]

Answer:

6n( n - 1 )( n^3 - 3n - 3)

Step-by-step explanation:

5 0
3 years ago
Need help ASAP, please.
mamaluj [8]

Answer:

  • n = 3
  • (1, 1/6), (-2, 7/6), (5, -7/6)
  • 2x + 6y = 3

Step-by-step explanation:

A graphing program can help a lot in this case. Even without the program, it seems clear from a graph that only the first three points will lie on the same line.

The slope of the line can be found from the first two points as ...

  ∆y/∆x = (7/6 -1/6)/(-2 -1) = (6/6)/-3 = -1/3

Then the point-slope form of the equation can be written as

  y -1/6 = -1/3(x -1)

Multiplying by 6 gives ...

  6y -1 = -2x +2

Adding 2x+1 puts the equation into standard form:

  2x + 6y = 3

7 0
3 years ago
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