All Answers 358139 Answers

It's at the end.

It's in his question. At the end.

So what's the question ?

I don't think so, the question looks like a parabola. You're not factorizing everything, maybe you're thinking of group in pairs. 

For the answer, c(25) square rooted is 5 so you're looking at the perfect squares. 

(x-5)²

or (x-5)(x-5)

Hope that helped 

That is excellent Chris.  I shall have to examine what you have done.

There is another way, It is much simpler if you spot/know the trick.

8x-1+x² is an expression, not an equation. You can solve equations, but not expressions.

The other three angles will  measure 72° , 108°  and 108°

The vertical angle across from the 72° angle  has the same measure and the other two angles will be supplementary to 72°, i.e., 108°

16^x  =  1 / 64          Since   2⁴ = 16  and  2⁶ = 64 , we can write this as...

(2⁴)^x  =  1 / (2⁶)       And   (x^a)^b  =  x^ab  , so...

 2^4x   =  1 / (2⁶)       And  x^-a  =  1 / x^a  , so...

 2^4x   =  2^-6            Now the bases are both equal to 2, so the exponents are equal.

4x  =  -6       Divide both sides by  4 .

x  =  -3/2

Here's the second one [ I think ]

Let the width of the top left rectangle = a  and its height  = b

So.....ab = 32   ...so its width is  a = 32/b

Let the height of the bottom right rectangle = d  and its width = 45/d

And d = 11 - b

Now....if we had a "completed" rectangle its area would be  14 * 11  = 154

And 14 =  width of the top left rectangle  + width of bottom right rectangle

So we have

(32/b +  45/d) (11) = 154     sub for d

(32/b + 45/(11-b))   = 14     simplify

32/b (11-b) + 45  = 14 (11 - b)

352/b - 32 + 45  =  154 - 14b

352/b + 13 = 154 - 14b

352/b - 141 + 14b = 0

14b^2 - 141b + 352  = 0   ⇒  b= 5.5  or b  = 32/7

If b = 5.5   then a  = 32/5.5 ≈ 5.81

If b = 32/7  then a =  32 / [32/7]  = 7    which is too large 

So b = 5.5    

And d = 11- b =  11- 5.5  = 5.5

a = 32/5.5   = 64/11

ad =   64/ 11 * 5.5   =   64 * (5.5 / 11)  =  64 * 1/2  = 32

Click the  " 2nd "  button at the top left. Also you can press "shift"on your keyboard, or you can click and hold the key.

6 degrees each

145 is the answer

2/7. Apparently. If that's wrong, I blame Google

You just need to use the associated inverse functions

Example :

arcsin ( 0.4568)  ≈  27.18°

Okay...   We need to get   y - 10  =  4(x - 2)   into the form: y  =  mx + b  .

y - 10  =  4(x - 2)          Add  10  to both sides of the equation.

y  =  4(x - 2) + 10         Distribute  4  to each term in parenthesees.

y  =  4x - 8  + 10          Combine the  -8  and  10  to get  2 .

y  =  4x + 2

5x - y  ≤  20

We have to test each ordered pair to see if it makes the equation true.

1.   (10, 8)

5(10) - 8  ≤  20

50 - 8  ≤  20

42  ≤  20     →     false

2.   (5, 6)

5(5) - 6  ≤  20

25 - 6  ≤  20

19  ≤  20     →     true

3.   (2, 1)

5(2)  -  1  ≤  20

10  -  1  ≤  20

9  ≤  20       →     true

4.   (6, 4)

5(6) - 4  ≤  20

30 - 4  ≤  20

26  ≤  20     →     false

The ordered pairs that make the equation true are solutions to the inequality.

----------

slope  =  \(\frac{\text{change in y}}{\text{change in x}}\,=\,\frac{y_2-y_1}{x_2-x_1}\,=\,\frac{4-2}{-1-5}\,=\,\frac{2}{-6}\,=\,-\frac{1}{3}\)

----------

y  >  9

First, draw a dotted line at  y = 9 ,

First one :

10x  +  5y  ≤ 500

Second one :

Amount in inches  = 10  +  2x

Yes please.

To find an ordered pair, pick any number you want, plug it into the equation for  x  or  y , and solve for the other variable. I pick  0  for  x.

  y   =   -x + 10   =   -0 + 10   =   10

When  x = 0 ,  y = 10  . So an ordered pair is  (0, 10) .

----------

slope  =  \(\frac{\text{change in y}}{\text{change in x}}\,=\,\frac{y_2-y_1}{x_2-x_1}\,=\,\frac{4-6}{4-1}\,=\,-\frac{2}{3}\)

----------

The point slope form of the line is:

y - 10  =  4(x - 2)      This equation is correct as it is, but do you need it in slope-intercept form?

-2x - 11y  = 5         add 2x to both sides

-11y  =  2x  + 5     divide everything by -11

y  =  [ -2 / 11 ] x  - 5 / 11           

slope = -2/11          y intercept =  -5/11

x - 4x + 3  =  5x - 2       Subtract  3  from both sides of the equation.

x  -  4x  =  5x - 2 - 3      Subtract  5x  from both sides of the equation.

x - 4x - 5x  =  -2 - 3       Combine like terms.

-8x  =  -5               Divide both sides by  -8 .

x  =  -5 / -8

x  =  5 / 8

ohh!! didn't see that 

Your choice is correct, NSS

Look at it again......doesn't it cross the x axis at  -3, 0 and 4   ???