All Answers 356466 Answers

Find the equation of a line in slope-intercept form that

passes through the point (4, -1) and is // to the line y = 1/2x - 3.

Hello SmartMathMan!

\(m=\frac{1}{2}\)

\(y=m(x-x_1)+y_1\\ y=\frac{1}{2}(x-4)-1\)

\(y=\frac{1}{2}x-3\)            b)

  !

The slope of the new line will be the same   :   1/2

so answer A or B     Substitute in the point given  4, -1     to see which one it is .....

parallel slope is still 1/2

so answer A or B    sub in the point   4, -1  into each of them to find which one it is....

Can give explanation?

Here is one     9999 - 4360 = 5639

2x = 5y    multiply by  7/5

14/5 x = 7y

14/5 x = 11z

14/5  /11  = z/x

14/55 = z/x

stop cheating on AoPS hoemwork

You should thank the guest for taking the time to solve this crazy thing for you.

Told you it was a long problem 

Solve the following system:
{-x - y - z = -8
-4 x + 4 y + 5 z = 7
2 z + 2 x = 4
In the first equation, look to solve for x:
{-x - y - z = -8
-4 x + 4 y + 5 z = 7
2 z + 2 x = 4
Add z + y to both sides:
{-x = z + y - 8
-4 x + 4 y + 5 z = 7
2 z + 2 x = 4
Multiply both sides by - 1
{x = -z - y + 8
-4 x + 4 y + 5 z = 7
2 z + 2 x = 4
Substitute x = -z - y + 8 into the second and third equations:
{x = -z - y + 8
4 y - 4 (-z - y + 8) + 5 z = 7
2 (-z - y + 8) + 2 z = 4
4 y - 4 (-z - y + 8) + 5 z = 4 y + (4 z + 4 y - 32) + 5 z = 9 z + 8 y - 32:
{x = -z - y + 8
9 z + 8 y - 32 = 7
2 (-z - y + 8) + 2 z = 4
2 (-z - y + 8) + 2 z = (-2 z - 2 y + 16) + 2 z = 16 - 2 y:
{x = -z - y + 8
9 z + 8 y - 32 = 7
16 - 2 y = 4
In the third equation, look to solve for y:
{x = -z - y + 8
9 z + 8 y - 32 = 7
16 - 2 y = 4
Subtract 16 from both sides:
{x = -z - y + 8
9 z + 8 y - 32 = 7
-2 y = -12
Divide both sides by -2:
{x = -z - y + 8
9 z + 8 y - 32 = 7
y = 6
Substitute y = 6 into the second equation:
{x = -z - y + 8
9 z + 16 = 7
y = 6
In the second equation, look to solve for z:
{x = -z - y + 8
9 z + 16 = 7
y = 6
Subtract 16 from both sides:
{x = -z - y + 8
9 z = -9
y = 6
Divide both sides by 9:
{x = -z - y + 8
z = -1
y = 6
Substitute z = -1 into the first equation:
{x = 9 - y
z = -1
y = 6
Substitute y = 6 into the first equation:
{x = 3
z = -1
y = 6
Collect results:
x = 3,          y = 6,          z = -1

-2x^2 + 6x - 8

-2 (x^2-3x)     - 8

-2 (x^2 - 3x + 2.25)    + 4.5   - 8

-2 (x- 1.5)² - 3.5

Please make your question clear! What does that "with\(0" mean?

[0.2*400+.43*240+0.66*350] =414.2 g of sulfuric acid

[400 + 240 + 350] =990 g of sulfuric acid mixture

990 - 414.2 =575.8 g water content of 990 mixture.

414.2 = 0.10 * [575.8 + W], solve for W

W =3,566.2 g or ml of water to make 10% solution of sulfuric acid.

Oh man, that's a long problem to solve.

How do geometric means and right triangles relate?

I don't know, so I went searching.  I found this https://calcworkshop.com/triangle-trig/similar-right-triangles/   I don't understand it, but maybe you will do better. 

Already answered here:

https://web2.0calc.com/questions/help-on-algebra-thanks-d

Hmmmmmm..... wait but I thought you can't change where A is.... how do you know we can make an adjustment like that?

Oh!

Thank you, I figured out the answer 😁

f(-1 *1) = f(-1) =  (7(-1)+2)/4 = -5/4

f (-1) ^-1 is then    1/(-5/4)  =  - 4/5

Example 3 months    2³⁽³⁾⁺⁷  =    2¹⁶ =65536      

  2 months                 2³⁽²⁾⁺⁷ =     2¹³ = 8192

                                                     2¹⁶ / 2¹³ = 2³ = 8 times

6)    L : W = 5 : 3          L : 45 = 5 : 3           L = (5 * 45) / 3          L = 75

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

7)           C = 10

T : C = 6 : 5              T : 10 = 6 : 5           T = (10 * 6) / 5       T = 12

P : T = 8 : 3               P : 12 = 8 : 3           P = (12 * 8) / 3         P = 32

The answer is 8, make some tables and you will find the difference to be all 2^3, which is 8.

Here is a graph of both of them:

https://www.desmos.com/calculator/tjyuktqxod

By Inclusion-Exclusion, the number of telephone numbers I can remember is 1844.

What is the anwser its litterly been posted since 2013