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lina2011 [118]
3 years ago
7

Dan was 8 years old when his sister was born. Now the sum of their ages is 56. Write an equation to represent this problem. Let

the sister's age be s.
Mathematics
1 answer:
sweet [91]3 years ago
3 0

Answer:

- Age Problems Objective: Solve age problems by creating and solving a linear equa- ... Six years from now the sum of their ages will be 79. How old are they now? 8. Jack is twice as old as Lacy. ... The sum of the ages of Elli and Dan is 56. Four years ago Elli was 3 times as old as Dan. How old are they now?

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3 years ago
Match solutions and differential equations. Note: Each equation may have more than one solution. Select all that apply. (a) 7y''
Nonamiya [84]

Answer:

a-e^x,e^{-x}

b-x^{-2}

c-x^3

Step-by-step explanation:

a.7 y''-7 y =0

Auxillary equation

D^2-1=0

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Then , the solution of given differential equation

y=e^x,y=e^{-x}

2.7x^2y''+14xy'-14 y=0

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y=3x^2

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Substitute in the given differential equation

42x^3+42x^3-14x^3\neq 0

Hence, x^3 is not a solution of given differential equation

e^x,e^{-x} are also not a solution of given differential equation.

y=x^{-2}

y'=-2x^{-3}

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Substitute the values in the differential equation

7x^2(6x^{-4})+14x(-2x^{-3})-14 x^{-2}

=42x^{-2}-28x^{-2}-14x^{-2}=0

Hence, x^{-2} is a solution of given differential equation.

c.7x^2y''-42y=0

y=x^3

y'=3x^2

y''=6x

Substitute the values in the differential equation

42x^3-42x^3=0

Hence, x^3 is a solution of given differential equation.

a-e^x,e^{-x}

b-x^{-2}

c-x^3

6 0
4 years ago
Read 2 more answers
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spayn [35]

Answer:

12 feet.

Step-by-step explanation:

1 inch = 4 feet.

Multiply 3 by 4.

3×4=12

I multiplied 3 by 4 because 1-inch equals 4 feet, which means if we multiply both terms by 3, you will get 3 inch = 12 feet.

Hope this helps!

3 0
2 years ago
Find all of the polar coordinates of point P if P = (7,pi/3)
oee [108]

If P has Cartesian coordinates (7, pi/3), then its Polar coordinates are (square root of ((7)^2 + (pi/3)^2) , arcton (pi/21))

<u>Explanation</u>:

The given coordinates  ( 7 ,  π /3 )  look as if they are already in polar form (radius  =  7 , and angle  =  π/3).

but in case  ( 7 ,  π /3 )  really are Cartesian coordinates (i.e.  ( x , y ) = ( 7 ,  π/3 ) )

The radius is given by  √( x /2  +  y/ 2)  and  the angle by the  arctan  ( y ,x ).

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3 years ago
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Francisco finds a Web site that defines a regular hexagon as a "six-sided polygon with six congruent angles and six congruent si
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Answer:

d.

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All regular hexagons fit this definition.

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3 years ago
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