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well i used tally marks and the answer was 312

You're close, maththis.......

If he's at 74.5 ft and he dives 80 ft...shouldn't we get a negative answer???

As, Melody says......try it again.....

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Let me amend this slightly......your answer actually could be expressed as a positive.....it's just that your math is a little "off"

Would you like to just rethink your answer a little maththis?

I'd like you to :)

Use the calc on the home page. 

if the is 74and  1/2 in the air you would subtract 74 and 1/2 from 80 wich would be 6 and a 1/2 so i think the answer would equal 6 and 1/2

Here is you answer

This question was similar - it was probably yours.  Does it help?

It would be a good idea for you to include the address when you make requests like this.

You can just copy and past them.  

neative times negative is poiitive.

3 times 3 is 9.

y times y is y².

Answer:  9y²

Since  y  =  -3x     and     y  =  -x - 2     are both solved for y:

you can set them equal to each other:     -3x  =  -x - 2

To get all the x-terms to one side, add x to both sides:

                                                        -3x + x  =  -x + x - 2

                  Simplify:                                -2x  =  -2

                                                                  x  =  1

If x = 1:  y  =  -3x  -->  y  =  -3(1)  =  -3

if x = 1:  y  =  -x - 2  -->  y  =  -(1) - 2  =  -3    

Since you get the same answer in both equation, the point (1, -3) checks.     x  =  1        y  =  -3

Hi anon asker,

Gracious people like you make our efforts all worthwhile.  :)

Thank you :)))

To Chris and anon answerer;

Great answers there.  Thanks 

If you factor  x² + 3x + 2  =  0

you get:       (x + 2)(x+ 1)  =  0

This means that either     x + 2  =  0     or     x + 1  =  0

                                           x  =  -2                  x  =  -1

Thee are the two values that solve the equation.

Check:  (-2)² + 3(-2) + 2  =  4 - 6 + 2  =  0   It checks!

            (-1)² + 3(-1) + 2  =  1 - 3 + 2  =  0   It checks!

The 5s cancel out leaving 4/7

Using h  =  3w + 2:

Table:

  w = 0:  h  =  3(0) + 2  -->  h  =  2   --->   (0, 2)

  w = 1:  h  =  3(1) + 2  -->  h  =  5   --->   (1, 5)

  w = 2:  h  =  3(2) + 2  -->  h  =  8   --->   (2, 8)

  w = 3:  h  =  3(3) + 2  -->  h  =  11   --->   (3, 11)

  w = 4:  h  =  3(4) + 2  -->  h  =  14   --->   (4, 14)

  w = 5:  h  =  3(5) + 2  -->  h  =  17   --->   (5, 17)

Graph these points, connecting the points with a straight line. Continue the line out until you get the point (8, something); the 'something' is the answer to the second question.

Label the horizontal axis as 'w'; label the vertical axis as 'h'.

-9*y^2 is the Answer. :)

6  =  4.8sin[ (π/6)(t + 3.5) ] + 9

-3  =  4.8sin[ (π/6)(t + 3.5) ]                     subtract 9

-0.625  =  sin[ (π/6)(t + 3.5) ]                    divide by 4.8

-.675  =  (π/6)(t + 3.5)                               invserse sin

-.675 radians will be equivalent to 5.608 radians     2π - .675

For sin, -.675 radians is also equaivalent to 3.817 radians               π +.675

Using 3.817  =   (π/6)(t + 3.5)     

22.902  =  π(t + 3.5)                             multiply by 6                       

7.29  =  t + 3.5                                     divide by π

3.79  =  t                                              subtract 3.5

.79 x 60  =  47   --->  3:47 a.m.

The answer is 194.75

An S is made of 2 c's  (one on top of the other)

SO

Supplementary angles add up to twice as much as Complementary angles do!

Notice that the only thing that can make this 0 is when the numerator on the left side = 0

So

cos 2Θ = 0

And the cosine is equal to 0 at 90, 270, 450 and 630 degrees......so dividing each by 2, we have

45, 135, 225 and 315  degrees.......(and notice that the sin ≠ 0 at any of these values, so the denominator of the fraction isn't 0 at any of these values, either !!!)

Thanks guys so much for the answers! People like you are gold when you're trying to learning math without a teacher!

Points (-2, -4), (0,0), (4,a) and (b, 18)

If they're all on the same line, then they're all on the same slope, or share the same "m" value in y=mx+b. Now, in the first two ordered pairs, the x values are -2 and 0. The y values are -4 and 0. For each respective ordered pair, the equations can be made:

-4=m(-2)+b

0=m(0)+b

If you take the second equation, you can solve for b easily, because anything times 0 is 0.

0=m(0)+b

0=0+b

0=b

So, since this is all on the same line, or slope, that value of b works in the other equation.

-4=m(-2)+0

Now, solve for m! You can drop the plus 0, and then divide by -2 on both sides.

-4=m(-2)+0

-4=m(-2)

2=m

So, now we know m=2 and b=0. We can plug these into our slope-intercept equation. From now on:

y=2x+0

Or, simply,

y=2x

Now, we need to solve for (4,a) and (b, 18).

In the first one, we know the x value, 4, but need to find y, which is a.

a=2(4)

a=8

In the second one, we know the y value, 18, but need to find x, which is b.

18=2b

b=9

So you were right! a=8 and b=9.

SIDE NOTE: Because one ordered pair was (0,0), we could skip a step to find b in y=mx+b. Normally, this is how it would be done:

Find slope-intercept form of (-2,-4) and (0,0)

-4=m(-2)+b

0=m(0)+b

Rewrite both equations so b is left alone. On the first one, subtract m(-2) from both sides.

-4-m(-2)=b

This could be rewritten as -(-2m), or simply +2m.

-4+2m=b.

Now, subtract m(0) from both sides of the second equation

0-m0=b.

So, if -4+2m=b, and b=0-m0, we can squish that all together:

-4+2m=b=0-m0

-4+2m=0-m0

Then, you would go about solving for m like you would in any equation by moving all the b values to one side and all the constants (numbers without variables) to the other. We will add 0 to both sides, and subtract -2m from both sides. This will put the constants on the left and the m values on the right.

-4+0+2m-2m=0+0-m0-2m

-4=-2m

Now, dividing -4/-2 gets:

m=2

Just like it did before! Now you plug this back into the equations (the ones using points (-2,-4) and (0,0) in the slope-intercept equation y=mx+b) to get your b value. Then solve the rest like you did already!

If you mean 'out' as in remove, you can always multiply the number by -1 providing it is a negative number in the first place.

$${\mathtt{\,-\,}}\left({\mathtt{5}}{\mathtt{\,\times\,}}\left(-{\mathtt{1}}\right)\right) = {\mathtt{5}}$$

cos(2θ) / sin²(θ)  =  0

cos(2θ)  =  cos²(θ) - sin²(θ)

[cos²(θ) - sin²(θ)] / sin²(θ)  =  0                   Use the substitution.

cos²(θ) / sin²(θ) - sin²(θ) / sin²(θ)  =  0         Divide the numerator into two parts.

cos²(θ) / sin²(θ) - 1  =  0

cos²(θ) / sin²(θ)  =  1

sin²(θ) / cos²(θ)  =  1                                 Multiply both sides by sin²(θ) / cos²(θ) and exchange sides.

tan²(θ)  =  1

tan(θ)  =  1   --->  θ  = 45°  or 225°

tan(θ)  =  -1   --->  θ  = 135°  or 315°

No..we don't usually like to do too much "guessing" on here....

Since all the points lie on a line, the slope between them will be the same. So the slope between (-2, -4) and (0, 0) = [-4 - 0]/ [-2, 0] = -4/-2 = 2

So, using this, the slope between (0, 0) and (4, a) = 2  ....and we have..

[a - 0] / [4 - 0] = 2   → a/4 = 2  → (multiply both sides by 2)......a = 8.

Similarly.......

[18 - 0 ] / [ b - 0] =  2  →  18/2 = b → 9 = b

And that's it .....(without the guesswork .....!!!)

thanks Chris and Gino,  

I really like the way you spelt that out Chris.