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liberstina [14]
3 years ago
13

0.489 in two other from

Mathematics
1 answer:
liberstina [14]3 years ago
5 0
One form is 489/1000 
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Pls just answer if you know, don't guess or spam. Thanks
Andreyy89

Answer:

Step-by-step explanation:

If you work through it as if you were doing polynomial long division you just have to work through the first step and then compare it to the answer.  In polynomial long division you always divide the leading term of the dividend and divide it by the leading term of the divisor.  In this case 24x^2 /ax = -8x.  So this is a pretty simple calculation to find what a is.  the xs cancel out so you get 24x/a = -8x and from here you can divide both sides by x, multiply both sides by a and then divide both sides by -8.

24x/a = -8

24/a = -8

24 = -8a

-3 = a

Now just follow through with the whole long division to make sure, but using this method should get you the right answer.  

4 0
3 years ago
Consider the function on the interval (0, 2π). f(x) = sin x + cos x (a) Find the open intervals on which the function is increas
Annette [7]

Answer:Increasing in x∈(0,π/4)∪(5π/4,2π) decreasing in(π/4,5π/4)

Step-by-step explanation:

given f(x) = sin(x) + cos(x)

f(x) can be rewritten as \sqrt{2} [\frac{sin(x)}{\sqrt{2} }+\frac{cos(x)}{\sqrt{2} }  ]..................(a)\\\\\ \frac{1}{\sqrt{2} } = cos(45) = sin(45)\\\\

Using these result in equation a we get

f(x) = \sqrt{2} [ cos(45)sin(x)+sin(45)cos(x)]\\\\= \sqrt{2} [sin(45+x)]..........(b)

Now we know that for derivative with respect to dependent variable is positive for an increasing function

Differentiating b on both sides with respect to x we get

f '(x) = f '(x)=\sqrt{2}  \frac{dsin(45+x)}{dx}\\ \\f'(x)=\sqrt{2} cos(45+x)\\\\f'(x)>0=>\sqrt{2} cos(45+x)>0

where x∈(0,2π)

we know that cox(x) > 0 for x∈[0,π/2]∪[3π/2,2π]

Thus for cos(π/4+x)>0 we should have

1) π/4 + x < π/2  => x<π/4  => x∈[0,π/4]

2) π/4 + x > 3π/2  => x > 5π/4  => x∈[5π/4,2π]

from conditions 1 and 2 we have  x∈(0,π/4)∪(5π/4,2π)

Thus the function is decreasing in x∈(π/4,5π/4)

5 0
3 years ago
Cara graphs a system of linear equations and identifies a point as the solution.
UNO [17]
I think the answer is d. the intersection of the 2 lines
7 0
3 years ago
PLS HELP ME I WILL GIVE BRAINLIEST
Ronch [10]

Answer:

78°

Step-by-step explanation:

The angular distance of an arc is twice the angle that forms it if that angle lies of the edge of the circle.

By this, Arc AK has angular distance 158°.

Arc JL = 202°.

Arc KL = 122°.

By subtracting these we get 80° for Arc JK.

Arc KA = 158°.

Arc AJ = KA - JK

AJ = 158-80

AJ = 78°

5 0
3 years ago
I need help with geometry
pychu [463]
I believe the answer is 44
3 0
3 years ago
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