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pickupchik [31]
3 years ago
10

True or false ? The ancient Greeks could bisect an angle using only a straightedge.

Mathematics
2 answers:
Aleks [24]3 years ago
7 0
That is false, they also needed a compass. (apex)
Zepler [3.9K]3 years ago
3 0

Answer:

False ~apex

Step-by-step explanation:

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The opposite corners of a quadrilateral are right angles. The quadrilateral is not a rhombus. What kind of quadrilateral is the
jolli1 [7]
I think square or rectangle
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3 years ago
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If f(x) = 3x - 2 and g(x) = 2x + 1, find (f - g)(x)
morpeh [17]

Answer:

(f-g)(x) = x-3

Step-by-step explanation:

Given

f(x) = 3x-2

and

g(x) = 2x+1

We have to find (f-g)(x)

So,

(f-g)(x) = f(x)-g(x)

= 3x-2 - (2x+1)

= 3x-2-2x-1

=x-3

Hence,

(f-g)(x) = x-3

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3 years ago
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Tony has a workout playlist consisting of 4 songs for stretching, 14 songs for running, and 6 songs for lifting weights. If the
slava [35]
Should be C


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3 0
3 years ago
. The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to nd
Blababa [14]

The question is:

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation

x²y'' - 7xy' + 16y = 0; y1 = x^4

Answer:

The second solution y2 is

A(x^4)lnx

Step-by-step explanation:

Given the homogeneous differential equation

x²y'' - 7xy' + 16y = 0

And a solution: y1 = x^4

We need to find a second solution y2 using the method of reduction of order.

Let y2 = uy1

=> y2 = ux^4

Since y2 is also a solution to the differential equation, it also satisfies it.

Differentiate y2 twice in succession with respect to x, to obtain y2' and y2'' and substitute the resulting values into the original differential equation.

y2' = u'. x^4 + u. 4x³

y2'' = u''. x^4 + u'. 4x³ + u'. 4x³ + u. 12x²

= u''. x^4 + u'. 8x³ + u. 12x²

Now, using these values in the original equation,

x²(u''. x^4 + u'. 8x³ + u. 12x²) - 7x(u'. x^4 + u. 4x³)+ 16(ux^4) = 0

x^6u'' + 8x^5u' + 12x^4u - 7x^5u' - 28x^4u + 16x^4u = 0

x^6u'' + x^5u' = 0

xu'' = -u'

Let w = u'

Then w' = u''

So

xw' = -w

w'/w = -1/x

Integrating both sides

lnw = -lnx + C

w = Ae^(-lnx) (where A = e^C)

w = A/x

But w = u'

So,

u' = A/x

Integrating this

u = Alnx

Since

y2 = uy1

We have

y2 = (Alnx)x^4 = (Ax^4)lnx

Therefore, the second solution y2 is

A(x^4)lnx

6 0
3 years ago
Which of the following equations is an example of the Associative Property of Addition?
user100 [1]

Answer:

Option B)  (5+6)+4=5+(6+4) is correct

An example of the associative property of addition is (5+6)+4=5+(6+4)

Step-by-step explanation:

Given (5+6)+4=5+(6+4)\hfill (1)

Verify that the given equation is an example of associative property of addition or not:

We have the associative property of addition

(a+b)+c=a+(b+c) \hfill (2)

Comparing the equation (1) and(2)  we have the given equation is in associative property

Therefore option B)  (5+6)+4=5+(6+4) is correct

An example of the associative property of addition is (5+6)+4=5+(6+4)

8 0
3 years ago
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