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1. I suspect this might be .... ( x-1)/(x-5) = (2x+7)/x     cross-multiply....

x(x - 1)  = (x - 5)(2x + 7)

x^2 - x  = 2x^2 - 3x - 35    rearrange

x^2 - 2x - 35 = 0     factor

(x -7) ( x + 5) = 0      and setting both factors to 0, we have that  x = 7 or x = -5.....both solutions are good

a) The angle of depression is given by ..

tanΘ  = 16/375   ....using the tangent inverse, we have

tan^-1(16/375)  = about 2.4°

b)  The distance - d - the car is from the lower tower is given by

tan(7.7)  =  14/d   rearrange

d = 14/ tan(7.7)  =  about 103.54 m

Then.....the car must be closer to this tower since the towers are 375 m  apart

Just as a check....the distance -d - that the car is from the higher tower is given by :

tan(6.3) = 30/d   rearrange

d = 30/tan(6.3)  = 271.73 m     ...the car is more distant from this tower...!!!

  4392₁₁

- 14A3₁₁

----------

   299A₁₁

+  13A₁₁

-----------

    3029₁₁  or ..... just 3029   

p^2 + 4p + 51 = 0    ....this has no "real" solutions.....using the quadratic formula built into the onsite solver, we have.....

$${{\mathtt{p}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{p}}{\mathtt{\,\small\textbf+\,}}{\mathtt{51}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{p}} = {\mathtt{\,-\,}}{\sqrt{{\mathtt{47}}}}{\mathtt{\,\times\,}}{i}{\mathtt{\,-\,}}{\mathtt{2}}\\
{\mathtt{p}} = {\sqrt{{\mathtt{47}}}}{\mathtt{\,\times\,}}{i}{\mathtt{\,-\,}}{\mathtt{2}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{p}} = {\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,-\,}}{\mathtt{6.855\: \!654\: \!600\: \!401\: \!044\: \!1}}{i}\\
{\mathtt{p}} = {\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{6.855\: \!654\: \!600\: \!401\: \!044\: \!1}}{i}\\
\end{array} \right\}$$

We don’t do exponent questions here. It is antilog to our religion.

The answer is 2 ducks because Donald counts as a duck.....

The answer is 2 ducks

you have to convert it to n improper fraction: 39/5 x 7/3

Add 3 to both sides: -42=6n.

Divide both sides by 6: n=-7

Plug n back into the original equation: 6(-7)-3=-45.

-42-3=-45.

-45=-45.

Just take the inverse/arc sin of (7/15)

Divide both sides by 3.14: 972=4/3*r^3.

Divide both sides by 4/3: 729=r^3.

Take the cube root of 729, which is 9.

Radius is 9 units.

Click the "2nd" button, then click the desired function.

First, divide 74 by 5. Then, multiply your answer by 21. Finally, divide by 3.

That depends on your calculator. Look for it for a couple minutes and you'll find it.

4(-4-2)/2--2 Subtract 2 from -4.

4(-6)/2--2 Multiply 4 times -6.

-24/2--2 Divide -24 by 2.

-12--2 Since you're subtracting a negative, you are esentially adding a positive.

So -12--2 can be written as -12+2.

-12+2 Add 2 to -12

-10 is your answer. Hope this helped.

31 is the answer to the question you have asked.

this is what it = -14999.99949675.

huh. it equals 12345678987654321. also get 1/998001. it equals every possible three digit number except 998 so 000001002003004005006 ... 996997999000001001

An exclamation point means the product of the integers from 1 to n. For example 4! means 4*3*2*1

You can use the calculator here to do this:

$${\frac{{\mathtt{21}}{!}}{\left({\mathtt{9}}{!}{\mathtt{\,\times\,}}{\mathtt{12}}{!}\right)}} = {\mathtt{293\,930}}$$

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x² + y² = 25         ...(1)

x - y = 1              ...(2)

Rearrange (2) as x = 1 + y   ...(3)

Put this into (1)

(1 + y)² + y² = 25  so  1 + 2y + y² + y²  = 25  or  2y² + 2y + 1 = 25 or 2y² + 2y - 24 = 0

divide through by 2

y² + y - 12 = 0

This factors as  (y - 3)(y + 4) = 0  so y = 3 or y = -4

Take these two values for y and plug them into (3) to get the corresponding values of x.

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You can use acos (which is the same as cos^-1) on the calculator here to do this.

You don't say if the result is to be expressed in degrees or radians.

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