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hoa [83]
2 years ago
10

Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents

, and find the area using geometry. ∫ 9 0 | 6 x − 6 | d x
Mathematics
1 answer:
Andrew [12]2 years ago
8 0

Answer:

-189

Step-by-step explanation:

\int^9_0 \  |6x-6| \ dx

⇒ 6x - 6 = 0

6x = 6

x = 1

\int^9_0 \  (6x- 6 ) \ dx = \int^9_0 \ -(6x - 6) \ dx

= - \Big[ \dfrac{6x^2}{2}- 6x \Big]^9_0

= - \Big[ \dfrac{6(9)^2}{2}- 6(9) - 0 \Big]

= -(243 - 54 - 0 )

= -189

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Lana71 [14]
There is no y intercept since there are no points on y axis so?
5 0
3 years ago
Read 2 more answers
PLEASE I BEG SOMEONE TO HELP
boyakko [2]

Answer:

16 + 3n

Step-by-step explanation:

a = 19 ;  common difference = 22 - 19 = 3

a(n) = a + (n -1 ) *d

      = 19 + (n-1)*3

      = 19 + 3n - 3

      = 16 + 3n

4 0
2 years ago
Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated? ​
Harrizon [31]

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3.  The length of the vertical segment of the triangle graphed is 2.  Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3.  This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

4 0
3 years ago
Which is the graph of y=3/4x-3?<br>Graph C<br>Graph B<br>Graph A​
Alika [10]
I believe it’s graph c :)
3 0
3 years ago
Read 2 more answers
A jar contains 125 marbles. Given 5% of the marbles are green, 39% of the marbles are blue, and the rest are red, how many red m
scZoUnD [109]

Answer:

70

Step-by-step explanation:

39+5=44

100-44=56

56 percent of  125 is 70

4 0
2 years ago
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