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3 years ago

Is 7/13 greater than 1/2

Mathematics

1 answer:

blagie [28]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

7/13*2=14/26

13/26=1/2

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Can the sides of a triangle have lengths 1, 3, and 10?

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Answer:

yes the sides of a triangle can have all those sides

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3 years ago

The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th

Fantom [35]

Answer:

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C$

Step-by-step explanation:

To find:

∫ $6x^5(x^6-2)\,dx$

Solution:

Method of substitution:

Let $x^6-2=t$

Differentiate both sides with respect to $t$

$6x^5\,dx=dt$

[use $(x^n)'=nx^{n-1}$ ]

So,

∫ $6x^5(x^6-2)\,dx$ = ∫ $t\,dt$ = $\frac{t^2}{2}+C_1$ where $C_1$ is a variable.

(Use ∫ $t^n\,dt=\frac{t^{n+1} }{n+1}$ )

Put $t=x^6-2$

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1$

Use $(a-b)^2=a^2+b^2-2ab$

So,

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C$

where $C=2+C_1$

Without using substitution:

∫ $6x^5(x^6-2)\,dx$ = ∫ $6x^{11}-12x^5\,dx$ = $\frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C$

So, same answer is obtained in both the cases.

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2 years ago

Can anybody tell me how to turn the equations above into slope intercept form so I can graph it?

rjkz [21]

Answer:

First then second answer below

Step-by-step explanation:

-x+y 4

-1/-1=1 x=1 y=1

y/1=1/1+4/1

y=1x+4

-x+7y 21

-1/-1=1

7y/7=1/7+21/7

y=1/7x+3

7 0

2 years ago

Simplify (1 − cos x)(1 + cos x). (2 points)

Vadim26 [7]

Answer:

sin²x

Step-by-step explanation:

we have

(1 − cos x)(1 + cos x)=1-cos²x

Remember that

sin²x+cos²x=1 ------> i-cos²x=sin²x

therefore

(1 − cos x)(1 + cos x)=sin²x

4 0

3 years ago

Read 2 more answers

Make x the subject:<br>y= (x+10)^2

Elis [28]

Answer:

x = - 10 ± $\sqrt{y}$

Step-by-step explanation:

y = (x + 10)² , or

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x + 10 = ± $\sqrt{y}$ ( subtract 10 from both sides )

x = - 10 ± $\sqrt{y}$

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2 years ago

Read 2 more answers

Is 7/13 greater than 1/2​

Is 7/13 greater than 1/2