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Parallel lines have the same slope so the second line must have a slope of 3. We then have y=3x+b. We plug in the given point to find b.

y=3x+b

-2=3(5)+b

-2=15+b

b=-17

Therefore the equation is y=3x-17.

I do not think the question states he cannot get anyone to help.

But it does state that he is trying to get someone to do it for him. I think the inference is that it is a one person job.

He finally does it himself so It seems reasonably to assume that no one was available to do it for him on the day he chose for it to be done.

Step 1)  Find the y-intercept of x + 2y  =  8:

              Substitute 0 for x in the equation:  0 + 2y  =  8   --->   2y  =  8   --->   y = 4

              The y-intercept is 4.

Step 2)  Find the equation of the new line.

              You know that these two points  (9, 6)  and  (0, 4) are on the line.

              First, find the slope:  m  =  (y₂ - y₁) / (x₂ - x₁)   --->   m  =  (4 - 6) / (0 - 9)

                                                                                        --->  m  =  2/9

               Now, use the point-slope formula:  y - y₁  =  m(x - x₁)

                                                                --->   y - 6  =  (2/9)(x - 9)

                                                            --->   9(y - 6)  =  2(x - 9)

                                                            --->   9y - 54  =  2x - 18

                                                                   --->   9y  =  2x + 36

                                                                     --->   y  =  (2/9)x + 4

                This equation has a slope of  2/9  and a y-intercept of  4.   

arrange in y = mx + b form      y = -1/2 x + 4        4 = b = y axis intercept

Total 15 liters

.8(x) + .65(17-x) = .71(15)         solve for 'x' the amount of 80%   then 65% =  17-x       

\(\sqrt[4]{4}\)  i       

-\(\sqrt[4]{4}\)  i  

Try using exponential form.

By Vieta's formulas, the answer is B 2003/2004.

By Vieta's formulas, p = 2m + m/2 = 5m/2.

A) By the angle bisector theorem, BC = 32/7.

B) Again by the angle bisector theorem, BZ = 11/3.

r = -2

7 x r^9 = 10th term     7 x (-2)^9 = -3584

Like     4+4      3+3+2      4 + 2 + 2       2+2+2+2    ?

x = y^2 -8y + 13     this is a sideways parabola

    the y value of the vertex is found by   = b / 2a   where   a = 1  and   b = -8

      use this value of y in the equation to find the x coordinate of the vertex

Over a distance of 2    (from 1 to 3)

   the graph changes from -2  to 4    a change of 6

      average = 6/2 = 3 per unit

Area of triangle =[Base x Height ]/ 2

240 = [20 x Height] / 2

Height =480 / 20

Height = 24

Draw a perpendicular line to AC

AC/2 =10 - This divides the triangle into 2 congruent triangles.

The height of each of these 2 triangles =24 and the base of each =10

Using Pythagoras's Theorem:

24^2 + 10^2 =AB^2 =BC^2

AB^2 =576 + 100 =676      Take the sqrt of both sides

AB = 26 = BC

The perimeter =26 + 26 + 20 = 72

in addition

2 x4

2*3*4 / 3

4² /2

(4*3)/ (3/2)                  Is that what you mean?

Volume = l x w x h      l = m    h = 3m   w = 4h = 4(3m) = 12m

m   x   3m    x  12m =   36m³

and can you show me the 4 ways? thanks!

The equation simplifies to
which factors as  The solutions are then  and  the greater of which is \(3x^2 + 17x + 10 = 0, \boxed{-\frac{2}{3}}.\)

[ 40 / 5  +  40 / 5^2] = 9 zeros

A     salt =  40% * 600 = 240 g

B     salt     20% * 400 = 80 gm

There will be  1000 gm of salt solution at the end of mixing

240g + 80 g    = 1000 (x%)

320 = 1000 x       final solution will be 32%

Let 'x' be the amount to pour off of the 4% solution     this will be the same amount of 2% solution to be added back in to make 600 gm of 32%

.4 (600-x)  + .2(x) = 600 (.32)

x=240 ml

pour off 240 ml from each and add it to the other ..... you will have 600 gm of 32%    and  400gm of 32%

hint:  this question involves the law of sines!! I'm pretty sure- (if you haven't gotten this far yet... i don't recommend myself for this question). The law of sines states:

\(\frac{\text{sin} A}{a}=\frac{\text{sin}B}{b}= \frac{\text{sin}C}{c}\) where A, B, and C are the sides of the triangle, and a, b, and c are the opposite angles, respectively. 

thanks that was the right answer. I was just coinfised on why u are allowed to cancel the m's when there is 1 on one side and 4 on the other.

Way to go, CP !