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sergey [27]
3 years ago
15

What us the equation of the line that passes through point (2,5) and (0, -2)

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0

Answer:

y = 7/2 x -2

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (-2 -5)/(0-2)

   =-7/-2

   = 7/2

We know the y intercept is -2  ( The x coordinate is 0)

Using the slope intercept form of the equation

y = mx+b  where m is the slope and b is the y intercept

y = 7/2 x -2

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4x-2y = 2<br> 3x-2y=-19<br> Help
Anon25 [30]

Answer:

{x,y}={21,41}

Step-by-step explanation:

Step by Step Solution:

More Icon

System of Linear Equations entered :

  [1]    4x - 2y = 2

  [2]    3x - 2y = -19

Graphic Representation of the Equations :

   -2y + 4x = 2        -2y + 3x = -19  

 

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    3x = 2y - 19

 [2]    x = 2y/3 - 19/3

// Plug this in for variable  x  in equation [1]

  [1]    4•(2y/3-19/3) - 2y = 2

  [1]    2y/3 = 82/3

  [1]    2y = 82

// Solve equation [1] for the variable  y

  [1]    2y = 82

  [1]    y = 41

// By now we know this much :

   x = 2y/3-19/3

   y = 41

// Use the  y  value to solve for  x

   x = (2/3)(41)-19/3 = 21

Solution :

{x,y} = {21,41}

6 0
3 years ago
Read 2 more answers
Write an expression that represents the product q and 5 divided by 2
Brrunno [24]
Product means multiply
product of q and 5 is 5 times q or 5q

divided by 2 so (5q)/2
5 0
3 years ago
Read 2 more answers
What is x if n≠m? Please help!
lorasvet [3.4K]

Answer: x = \frac{mn(q - p)}{n-m}\\\\

================================================

Work Shown:

Part 1

\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\

Part 2

\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m}  \\\\

-------------------------------

Explanations:

  • There are quite a bit of steps. I decided to break things into two parts.
  • The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
  • Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
  • From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
  • The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
  • If the formulas don't properly display, then you might have to refresh the page.
7 0
3 years ago
Which graph represents the piecewise-defined function?
kifflom [539]

Answer: The first option is correct.

Explanation:

The given piecewise function is,

y=\begin{cases}-\frac{4}{5}x-3 & \text{ if } x

From the piecewise function we can say that if x<0, then

f(x)=-\frac{4}{5}x-3

If x\geq2, then

f(x)=3x-10

Since the f(x) is defined for x<0 and x\geq2, therefore the function f(x) is not defined for 0\leq x.

In the graph 2, 3 and 4 for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.

Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for 0\leq x, hence the first option is correct.

5 0
3 years ago
Read 2 more answers
Why is a 99 confidence interval wider than a 95 confidence interval?
Ugo [173]
A larger interval is wider than a smaller interval.
4 0
3 years ago
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