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svetlana [45]
3 years ago
9

Solve the inequality. 9(x - 5) >-9 The solution is

Mathematics
1 answer:
Drupady [299]3 years ago
8 0
What does x equal ??
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Let R be the triangular region in the first quadrant with vertices at points (0,0), (a,0), and (0,b), where a and b are positive
Salsk061 [2.6K]

Answer:

volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( \frac{-b}{a}x + b )² dx

Step-by-step explanation:

Given the data in the question and as illustrated in the image below;

R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)

from the image;

the equation of AB will be;

y-b / b-0 = x-0 / 0-a

(y-b)(0-a) = (b-0)(x-0)

0 - ay -0 + ba = bx - 0 - 0 + 0

-ay + ba = bx  

ay = -bx + ba

divide through by a

y = \frac{-b}{a}x + ba/a

y = \frac{-b}{a}x + b

so R is bounded by  y = \frac{-b}{a}x + b and y =0, 0 ≤ x ≤ a

The volume of the solid revolving R about x axis is;

dv = Area × thickness

= π( Radius)² dx

= π ( \frac{-b}{a}x + b )² dx

V = π ₀∫^a ( \frac{-b}{a}x + b )² dx

Therefore,  volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( \frac{-b}{a}x + b )² dx

6 0
3 years ago
Evaluate the following expression. round your answer to two decimal places. log8 2.718
eduard

Answer:

log8 (2.718) = 0.48

Step-by-step explanation:

In 2.718 ÷ In 8 = 0.999896 ÷ 2.07944

= 0.4808

7 0
3 years ago
3x-8&lt;-2x+22<br><br> Show it with steps please.
Neko [114]

Answer:

x < 6

Step-by-step explanation:

1. 3x+2x = 5x

2. 5x - 8 < 22

3. 22+ 8 =30

4. 5x < 30

5. 30/5 = 6

6. x < 6

8 0
3 years ago
Read 2 more answers
Which of the following is equal to the expression below?
I am Lyosha [343]

Answer:

cuteboy979409

Step-by-step explanation:

I am sorry mam a was not able to answer this question.  

5 0
2 years ago
Which best describes the error in finding the missing length of the triangle?
Paul [167]

Answer:

24 ft

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

7^2 - 25^2 = -b^2

49 - 625 = -b^2

-576 = -b^2

24 = b

5 0
2 years ago
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