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The slope m of the line through the
points (x₁, y₁) and (x ₂, y ₂) is given by

$${\mathtt{2.7\times 10^{7}}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{5}}}}\right) = {\mathtt{5\,400\,000}}$$

Should be 2x+18

√90x^18 / √2x

$$sqrt(\frac{90x^{18}}{2x})$$

$$sqrt(45x^{17})$$

$$sqrt{(9*5)(x^{16}x})$$

$$3x^{8}sqrt(5x)$$

By default, Fred is on the committee.

And from the other 9 people, we want to choose 2 of them.

So C(9,2)  = 36 committees that include Fred on them

From the 10 people, we want to choose 3 of them.

And C(10,3)  = 120  committees

I'll give this one a shot

I'm assuming that two b***s go into every box......(???)

We have two tasks.......choose a box.......choose the b***s to put in that box.

We have 3 ways to choose the first box and from the 6 b***s we want to choose 2 of them to put in this box.

Then, we have 2 ways to choose the second box and we want to choose 2 ballls from the remaining 4 to put in this box.

The third box and the last two b***s are already decided, by default.

So we have

3C(6,2)  x  2C(4,2)  = 540 ways

1. 
   
   Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10^-9.
   
   

27=-1+z <=>z=-1-27<=>z=-28

please calculate AB AND AC AND BC and the angle (AB:AC)

tweny wen.

If cos x = p2/1, then tan x

Using the Pythagorean Theorem, 

y = √[1 - (p2)^2]

So tan x = √[1 - (p2)^2] / p2

Note.....depending upon the quadrant where x falls, this could be negative, as well

-(4x^2+4x-4)

This factors as  -4(x^2 + x - 1)

And that's all we can do.....

Let's write this as 

y =(1/4)x + 3

Here's the strategy

1. Get x by itself

2. "Swap" x and y

3. For "y" write f^-1(x)

So

y =(1/4)x + 3    add 3 to both sides

y - 3 =(1/4) x     multiply both sides by 4

4y - 12  = x      we have x by itself

Now, "swap" x and y

4x - 12 = y

For "y" ..... write f^-1(x)

f^-1(x)  = 4x - 12  ...and we can write this as 

f^-1(x) = 4(x - 3)

Let f(x) = 4x + 3 and g(x) = -2x + 5. Find

(f o g)(5) says we want to put 5 into g and evaluate the result......then.....we want to put this result into f and evaluate that........so

g(5) = -2(5) + 5 = -10 + 5 = -5

And

f(-5)  = 4(-5) + 3 =  -20 + 3 = -17

28=z is your answer . add one on both sides

Question 2

Here are the answers for all of these

For the 1st one (with the 126 degree angle), x = 180 - 126 = 54 degrees (consecutive interior angles)

For the one with the 113 degree angle, x = 113 degrees (corresponding angles)

For the one with the 122 degree angle, x = 122 degrees (alternate interior angles)

For the one with the 80 degree angle, x = 180 - 80 = 100 degrees (x is supplemental to the vertical angle formed by the 80 degree angle.....thus this angle is a consecutive interior angle to x)

For the one with the 136 degree angle, x = 180 - 136 = 44 degree (x is supplemental to the vertical angle formed by the 136 degree angle.....like the last one, this angle is a consecutive interior angle to x)

For the one with the 61 degree angle, x = 180 - 61 = 119 degrees (same side exterior angles are supplemental)

Hi Melody,

I'm having some trouble trouble with angles with my 'basic' level work at school.

I'm wondering how I'd figure out these angles on my online Homework.

I took some screen shots of it.

Oops!

Mis-read meant 10!

$${\mathtt{10}}{!} = {\mathtt{3\,628\,800}}$$

$$\left({\frac{{\mathtt{4}}}{{\mathtt{5}}}}\right){\mathtt{\,-\,}}{\mathtt{0.168}} = {\frac{{\mathtt{79}}}{{\mathtt{125}}}} = {\mathtt{0.632}}$$

1.24 = log x/1.44

$${\mathtt{1.24}}{\mathtt{\,\times\,}}{\mathtt{1.44}}$$= log x

1.7856=log x

Promote each side to an exponent of 10.

10^1.7856=10^log x

61.038=x

{x=-(((sqrt(5)+1)/2)), x=((sqrt(5)-1)/2)}

Using quadratic formula to find the roots.

Volume= Length*Width*Height

4096=Length*16*16

$${\frac{{\mathtt{4\,096}}}{\left({\mathtt{16}}{\mathtt{\,\times\,}}{\mathtt{16}}\right)}} = {\mathtt{16}}$$

This graph should help you to find the answer:

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