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Tpy6a [65]
3 years ago
9

Evaluate the integral using the indicated trigonometric substitution. sqrt(x2 − 81)/x dx, x = 9 sec()

Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0

C=C' - 81/2 In 9

hope it helps:))

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svetlana [45]

Answer:

3:9=4

Step-by-step explanation:

That is my answer

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blagie [28]

Answer:

4

Step-by-step explanation:

all you have to do is divide 12 by 3

3 0
3 years ago
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Idendify the slope and y-intercept from the equation below.
balandron [24]
M = 10
y = 10x-5. Hope it helppppppppppppppp
4 0
3 years ago
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In a talent show of singing and comedy acts, singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long. The show ha
Alik [6]

Step-by-step explanation:

Let the number of singing act be x

Let the number of comedy act be y

If the total act is 14, then;

x+y = 14..... 1

If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:

4.5x + 3.5y = 59 .......... 2

Solve both equation simultaneously for x and y

x+y = 14

45x+35y = 590

.................................

x+y = 14......... *9

9x+7y = 118....... 1

...............................

9x+9y = 126

9x+7y = 118

Subtract both equations

9y-7y = 126-118

2y = 8

y = 8/2

y = 4

Substitute y = 4 into equation 1;

From 1: x+y = 14

x+4 = 14

x = 14-4

x =10

Hence there are 10 singing acts and 4 comedy acts in the show

7 0
3 years ago
7. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the
svp [43]

Answer: 475.59 meters .

Step-by-step explanation:

The correct equation is the following:

y =-0 .02x^2 +9.5x + 5.6

For this exercise you need to use the Quadratic formula:

x = \frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case you can identify that the values of "a", "b" and "c" are:

a=-0.02\\\\b=9.5\\\\c=5.6

Now you must substitute these values into the Quadratic formula and then evaluate. You get:

x=\frac{-9.5\±\sqrt{(9.5)^2-4(-0.02)(5.6)}}{2(-0.02)}\\\\x_1=475.588\\x_2=-0.588

Choose the positive one and round it to the nearest hundreth:

x_1\approx 475.59

4 0
3 years ago
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