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Nikitich [7]
3 years ago
6

6+\sqrt{6-15x}=15 Solve the radical

Mathematics
2 answers:
Allisa [31]3 years ago
8 0

Answer:

x=-5

Step-by-step explanation:

6+\sqrt{6-15x}=15

<u>Subtract 6 from both sides of the equation:</u>

6+\sqrt{6-15x}-6=15-6

<u>Subtract 6 from itself which will give you 0.</u>

\sqrt{-15x+6}=15-6

<u>Subtract 6 from 15 :</u>

\sqrt{-15x+6}=9

<u>Square both sides of the equation:</u>

-15x+6=81

<u>Subtract 6 from both sides of the equation:</u>

-15x+6-6=81-6

-15x=81-6

<u>Subtract 6 from 81:</u>

-15x=75

<u>Divide both sides by -15:</u>

\frac{-15x}{-15} =\frac{75}{-15}

x=-5

<u>___________________________</u>

Airida [17]3 years ago
5 0

Answer:

x=-5

Thank you.....

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How many different types of cross sections of a cone are possible?. A. 3. B. 5. C. 6. D. 10
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6 different types of cross sections of a cone are possible.
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3 years ago
Use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).
guajiro [1.7K]

The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is  21 square unit.

We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate

Equation of line passing through (0,5) and (2,-2) is

y-5 = [(-2-5)/(2-0)](x-0)

=>y-5 = (-7) /2x

=>y= (-7/2x)+5 -------(eq1)

Equation of line passing through (0,5) and (5,1) is

y-5 = [(1-5) / (5-0)](x-0)

=>y-5 = (-4/5)x

=>y = (-4/5)x+5-------(eq2)

Equation of line passing from (2,-2) and (5,1) is

y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)

=>y+2=(3/3)(x-2)

=>y=x-4--------(eq3)

Now, we use definite integration to find the area between the different equation of line.

So, area enclosed between the equations is given by the

area =\int\limits^5_2[(-4/5)x+5 - (-7/2)x + 5)dx  + \int\limits^5_1[(-4/5)x+5 -(x-4)]dx

=>area=\int\limits^5_2(7/2-4/5)x dx + \int\limits^5_1((-9/5)x+9)dx

Using properties of integration,\int\limits x\, dx=x^{2}/2

=>area=\int\limits^5_2(27/10)x dx + \int\limits^5_1(-9/5)x+9)dx

=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)

=>area=(27/20)×(25-4) + (-9/5)×24+9×4

=>area = (27×21)/20 + (-216)/5+ 36

=>area=(567/20) - (216/5) + 36

=>area= [(567-261×4)+(36×20)]/20

=>area=[(567-864)+720]/20

=>area=423/20

=>area=21 square unit.

Hence, area of triangle is 21 square unit.

To know more about area of triangle, visit here:

brainly.com/question/19305981

#SPJ4

4 0
1 year ago
How to solve 15a5b2 + 4a5b2
Deffense [45]

Answer:

19a^5b^2

Step-by-step explanation:

15a+4a=19a

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3 years ago
True or False:<br> The more confident you want to be, the smaller your confidence interval will be
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Answer:

False

Step-by-step explanation:

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Now I need help pplz
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25 hope it helps (;......

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