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Thanks Alan, 

I see my error for the second question, but could you explain the error for the first one again...?

I just went by the order of operations, so we have 

b = w - z ÷ v

bv = w - z

bv+z = w

I believe this is assuming b = w - (z/v)...not b = (w-z)/v

I'm abit confused...further explanation would be appriciated!

The symbol means you will have two ansers;one by addition and one by subtraction

4+11.2=15.2

4-11.2=--7.2

For the first one, we have

4√( x20y28) = 4√ (x(5*4)y(4*7)) = 4√ (16*5*7*xy) = 16√(35xy ).... (Note....We took out a "4" and multiplied it by the one on the "outside")

I don't understand your second question.....are we wanting to solve this for "x"....  ???

Yay! Thank you :)

Excellent!!!

3 points for you!!!

This is always easy to see......if "x" is the squared term, the parabola opens upward (or downward, as the case may be.) If "y" is the squared term, it opens "sideways." Notice that "x" is squared and there is no "negative" on either side of the equation.......so it opens upward !!!

BTW...the 3/4 needs to be in parenthesis !!!  The way it's written could be confused for

(3)/(4y)........and this wouldn't be a parbola.....

Would it be......  111+43+77=231   360-231=129

Is mCD 129???

mGD = mGF + mFD   .......so.....

mGD = 43 + 77 = 120°

Note, Rose98, these are all central angles. And central angles always equal the measure of their intercepted arcs!!!

BTW..for extra credit....what is mCD ????

thanks chris,

You need to skech a graph of it then it should be clear.

  (y-3)^2=8(x-5)

Let's see how Melody arrived at this......

Writing this in a slightly different form, we have

 (y-3)^2=4p(x-5)   where "p" is the distance (horizontal, in this case) between the x coordinate of the vertex and the x coordinate of the focal point.

So...we have.....

4p = 8   ..... and solving for "p"  we have

p = 2    ........i.e., the focal point is 2 units to the "right" from the vertex......thus......

The vertex is (5,3) and the focus is (7,3)......just as Melody found !!!!

For a "sideways" parabola that opens to the right, we add "p" to the x coordinate of the vertex. For one that opens to the left, we subtract "p" from the x coordinate of the vertex.

Still not sure how to do the ones you gave hints for :(

No, for that last one you were confused about, its supposed to be like:

4√ x20y28

Answer these they are hints for your questions. 

4*4*4=(4)³=

2*2*2*2=2⁴=

3*3*3*3=3⁴=

I'm not sure what this one means 

4 sqrt x20y28

$$4\sqrt{x} \times20\times y^{28}$$      perhaps?

6) To convert from C to F we have......

F = (9/5)C + 32

So we have

F = (9/5)*(-74) + 32 = -101.2F

Pretty easy....(and pretty cold, too!!)

mmm let's think about that.

The vertex is (5,3)

It is a (pos) sideways parabola 8=4*2 so the focal length is 2.

So the focus must be y=3 x=5+2     

focus (7,3)

that sounds right to me.  

5)   B = (q + z/3)f

This is easy......divide both sides by f.....we have

B/f = q + z/3      ........subtract z/3 from each side

B/f - z/3  = q     

........We can make this look a little "nicer" by geeting a common denominator on the left

[3B - zf] / [3f] = q

4)  I assume this is A = (1/3)*pi*(t^2)*r  .... using 3.14 for "pi"...we have

Just divide both sides by  (1/3)*3.14*(t^2)

So we get

A / [ (1/3)*3.14*(t^2)] = r

3A/ [3.14*(t^2)]  = r ≈ .955A / t^2

$$\begin{array}{rlll}
g(x)-f(x)&=&2x^2-16-[(2x+3)(x-2)]&\\\\
&=&2x^2-16-[(2x(x-2)+3(x-2)]&\\\\
&=&2x^2-16-[2x^2-4x+3x-6]&\\\\
&=&2x^2-16-[2x^2-x-6]&\\\\
&=&2x^2-16-2x^2+x+6&\\\\
&=&x-10&\\\\
\end{array}$$

So the third one is 1/9?

Okay! THanks Melody! What about the other 4?

3) Using P = 2(W + L) we have

86 =2(W + 34)     Divide both sides by 2

43 = W + 34        Subtract 34 from both sides

9 =W = 9cm

2) A = L * W

104 = L*16   Divide both sides by 16

104/16 = L = 26/4 = 13/2 = 6.5 in

sqrt(10000/81)=sqrt(10000)/sqrt(81)=100/9=11 and 1/9

$$\frac{\sqrt{64}}{\sqrt{169}}=\frac{8}{13}$$

You can not find the square root of a negative number.

1) Using C = 2*pi*r  we have

18.8 = 2*3.14*r

18.8 = 6.28*r     Divide both sides by 6.28

18.8/6.28 = r = 2.99 = 3