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netineya [11]
3 years ago
10

Evaluate 5(x + 2) - 12 + 3 for x = 1 answers: 26 1 0 11

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0

Answer:

Step-by-step explanation:

Putting value of x = 1

5(x + 2) - 12 + 3

5((1) + 2) - 9

5(3) - 9

15 - 9

6

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Solve the equation on the<br> interval [0, 27r).<br> 4(sin x)2 - 2 = 0
Ket [755]

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x=sin^{-1}\left( \pm\cfrac{\sqrt{1}}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{1}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{\sqrt{2}}{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=\cfrac{\pi }{4}~~,~~\cfrac{3\pi }{4}~~,~~\cfrac{5\pi }{4}~~,~~\cfrac{7\pi }{4}~\hfill

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4 0
2 years ago
Prove that A is in the subset B if P(A) is in the subset P(B)
natima [27]
Show that if p(a) ⊂ p(b) then a ⊂ b. 

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5 0
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Which equation represents the line that passes through (-6, 7) and (-3, 6)?
Degger [83]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y = mx + b

Where:

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b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}): (- 6,7)\\(x_ {2}, y_ {2}): (- 3,6)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {6-7} {- 3 - (- 6)} = \frac {-1} {-3 + 6} = \frac {-1} {3} = -\frac {1} {3}

Thus, the equation of the line is of the form:

y = - \frac {1} {3} x + b

We substitute one of the points and find b:

6 = - \frac {1} {3} (- 3) + b\\6 = 1 + b\\b = 5

Finally, the equation is:

y = - \frac {1} {3} x + 5

Answer:

y = - \frac {1} {3} x + 5

8 0
3 years ago
Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y
Yuri [45]

Let the curve C be the intersection of the cylinder  



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\frac{x^2}{1}+ \frac{y^2}{16}=1



or  



\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1,



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x=cos(t), y=4sin(t)



for  



0\le t \le 2\pi



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x+y+z=1



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r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))



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Therefore the length of the curve of the intersection  intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0
3 years ago
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