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3(a+b) = 3a + 3b     (distributive property)

Not too bad, here we go:

y= fx gx

y =f x(7x+b)

y= sqrt(7x+b)       Can you figure it out now?

one more step   substitute in  (4,6)

6= sqrt(7(4) + b)          Now?

6 = sqrt(28+b)

36 = 28 + b

b = 8

You need to know if F (and/or theta) is a function of r.  If it is constant (independent of r) then the result is just w = Frcos(theta).

I assume to and tf are times, but you need to supply more information about the problem before we can see where they fit in.

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#1

Mom age = x

Daughter age = y

age difference  = x-y

Now, the Daughter's age MINUS the age difference equals  7

y-(x-y) = 7  or  2y-x=7     (Equation 1)

AND the Mother's age PLUS the age difference is 88

x+(x-y) = 88  or 2x-y =88  ((Equation 2)

From equation 1 :    x = 2y-7    Sustitute into equation 2

                              2(2y-7) - y =88    solve for y =34       = daughter's age     

Equation 1 again  2y-x=7    2(34) - x = 7     x = 61= mom's age

Both 4 and -4 solve this equation

 Combining like terms. A term is a constant or a variable in an expression. In the equation 12+3x+2x2=5x-1, the terms on the left are 12, 3x and 2x2, while the terms on the right are 5x, and -1.

"Suppose you have zero cookies and you divide them up among zero friends. See, it dosen't make any sense. Now Cookie Monster is sad because your have no cookies, and you are sad because you have no friends!"

-Siri

The answer is a mystery to us all on Earth!

divide both sides by 8

X=2.375

Absolutely !  THe y-intercept can be ANYwhere on the y-axis   ....

Y2-Y1

X2-X1

Pick two points on the graph   (x1,y1)  and  (x2,y2)

Slope = rise/run   

slope =  (y1-y2)/(x1-x2)

Could you help go through the problem?

i think you can but i am not sure.

It is 0.001

16759.5

It says about how much its just $16

tan(a+b) = (tan(a) + tan(b))/(1 - tan(a)tan(b))

tan(a-b) = (tan(a) - tan(b))/(1 + tan(a)tan(b))

tan(pi/4) = 1

tan(pi/4 + theta)*tan(pi/4 - theta) = (1+tan(theta))/(1 - tan(theta)) * (1 - tan(theta))/(1 + tan(theta)) → 1

here you go

:) 

\(\dfrac{13}{4}\times \dfrac{3}{2} \times \dfrac{1}{4} \times \dfrac{6}{5}\\ =\dfrac{13\times 3\times 6}{4\times 2\times 4\times 5}\\ =\dfrac{234}{160}\\ =\dfrac{117}{80}\)

when you divide by zero you are trying to find the meaning of your life and the solution of this problem can be explained as such

(The Meaning Of Your Life)/(The Meaning Of Life Itself)

(The Meaning Of Your Life)= 0

(The Meaning Of Life Itself)= 0 

Therefore one cannot find said meaning of life

30-5=25

what is 5 less than 30

\( 5 \ less \ than \ 30 = 30-5 = 25 \)     !

tan^-1(y/x)=25

Did you mean tan ^ -1 is  arctan\(\frac{y}{x}\)  or  \(\frac{1}{tan \frac{y}{x}}\) ?
then:

A)   \(arctan \frac{y}{x}=25 \ (8\pi =25.274)\) 

                    \(\frac{y}{x}=tan \ 25\)

                     \(y=tan \ 25 \times x\) 

                     \(y= -\ 0.133526 \ x\)     !

B)          \(\frac{1}{tan \frac{y}{x}}=25\)

                  \(\frac{1}{25}=tan \frac{y}{x}\)

         \(atan \frac{1}{25}=\frac{y}{x}\)

                     \(y=x\times atan \frac{1}{25}\)

                    \(y =0.0399786687\ x\)     !