Write this expression in a different way. 2x-438

The midpoint of mn is point p at (-4,6). If point m is at (8,-2), what are the coordinates of point n?

VashaNatasha [74]

x₁ + x₂ y₁ + y₂
 2 = M 2 = M

x + 8 y + -2
 2 = -4 2 =6
multiply both sides by 2.

x+8=-8 y - 2 = 12
x = -16 y = 14

Final Answer: (-16, 14)

7 0

3 years ago

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PLEASE HELP Which expression represents the difference quotient of the function f (x) = negative StartRoot 2 x EndRoot?

natali 33 [55]

Answer:

c is the correct option

Step-by-step explanation:

from,

f'(x) = h >0 f(x + h) - f(x)

h

f(x) = - √2x

f(x + h) = - √(2x + h)

f'(x) = h>0 -√(2x + h) - √2x

h

rationalize the denominator

= h>0 -√(2x + h) + √2x (-√(2x + h) - √2x)

h (-√(2x + h) - √2x)

= h>0 4x + 2h - 4x

h(-√(2x + h) -√2x)

= h>0 2h

h(-√(2x+h) - √2x)

= h>0  2 

-√(2x+h) - √2x

5 0

3 years ago

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A company has a cost equation of c=0.925x^2-4x+20 and a profit equation of p=-1.125x^2+6x+40. Solve for the breakeven point.

lana66690 [7]

0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40 (at break even point)

2.05x^2 - 10x - 20 = 0

x = [ - (-10) +/- sqrt(100 - 4*2.05*-20) / (2*2.05)

x = 6.40, -1.52 Ignore the negative

Answer is 6.40

3 0

3 years ago

How do you find the point slope form for the points (2,7) and (-1,9)?

iris [78.8K]

Answer:

y = -2/3 x + 25/3

Step-by-step explanation:

The slope = (y_2 - y_1) / (x_2 - x_1) = (9 - 7) / (-1 - 2) = -2/3.

Our equation needs to be in y = mx + b form.

We can plug in (2, 7) as our (x, y) and find b:

7 = -2/3 (2) + b

b = 7 + 4/3 = 25 / 3.

Therefore, our equation is y = -2/3 x + 25/3

8 0

3 years ago

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At the football concessions stand, Tia sold 78 hamburgers and chicken tenders. If she

Murrr4er [49]

I am going to do this problem with more of an algebraic approach weather or not its the way your teacher wants you to do it like this.

The way to do things algebraically is to just set variables for what you want to find and set up equations to represent each sentence.

As seen there are hamburgers and chickens in this problem. So let's set the numbers of hamburgers to x, and the numbers of chickens to y.

Now write out each sentence using variables.

1.) Tia sold 78 hamburgers and chicken tenders.

x+y=78

2.) If she sold 24 more hamburgers than chicken tenders.

x=y+24

Now that we have the 2 equations, its time to solve.

Since we have x=y+24, we can replace the x in the first equation with the second equation

y+24+y=78

2y+24=78

Now we can subtract 24 from both sides.

2y=54

Simplify

y=27

Solve for x

x=27+24=51

Done!

6 0

2 years ago