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likoan [24]
3 years ago
12

What is the slope of the line that passes through the points (-8, -6)and (-18, 6) ? Write your answer in simplest form.

Mathematics
1 answer:
djyliett [7]3 years ago
5 0

Answer:

-6/5

Step-by-step explanation:

You are going down 6 units and 5 units to the direction of the point you get .

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Find the local extreme values of the function f(x, y) = xy - x2 - y2 - 3x - 3y + 12
aev [14]
f(x,y)=xy-x^2-y^2-3x-3y+12

First compute the first-order partial derivatives and find the critical points.


f_x=y-2x-3
f_y=x-2y-3

Both first order derivatives vanish at (x,y)=(-3,-3).


Computing the Hessian, we get

\mathbf H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}-2&1\\1&-2\end{bmatrix}

We have \det\mathbf H(x,y)=3>0, which means (-3,-3) is an extremum of f(x,y). Since f_{xx}(-3,-3)=-2, this extremum is a local maximum of f(x,y) with a value of 21.
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3 years ago
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Andrews [41]
$79.65 is the correct answer
5 0
3 years ago
maxine took out a loan for $3200 at 8% interest, compounded annually. if she makes yearly payments of $250, will she ever pay of
UkoKoshka [18]

Solution:

As per the problem

Maxine took out a loan for $3200 at 8% interest, compounded annually.

she makes yearly payments of $250.

she will be able to Payoff her loan iff yearly payments made is greater than yearly interest.

Interest payable in first year =3200(1+0.08)-3200=3200*1.08-3200\\

Interest payable in first year=3456-3200=256

This payable interest will goes on increasing year on year.

Hence Maxine will never payoff the loan.

4 0
3 years ago
Read 2 more answers
Write an equation parallel to the line
Schach [20]
The easiest way to find a parallel equation is to write your equation in slope-intercept form. The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables.

You're given 5x + 10y = -4. 
1) Move 5x to the right side by subtracting 5x from both sides:
5x + 10y = -4
10y = -5x - 4

2) Divide both sides by 10 to get y by itself on the left. Simplify:
10y = -5x - 4\\
y = - \frac{5}{10} x -  \frac{4}{10} \\
y = - \frac{1}{2}  x -  \frac{2}{5}



<span>Remember that for parallel lines, the slope, m, is the same for both equations. You can make the y-intercept, b, whatever number you want.

When the equation is in slope-intercept form, </span>y = - \frac{1}{2} x - \frac{2}{5}, you can see that m =  - \frac{1}{2}. 

A parallel equation is in the form: 
y = - \frac{1}{2} x + b

Plug in anything you want for b. One example is: y = - \frac{1}{2} x + 3

-------

Answer: y = - \frac{1}{2} x + 3 (just one example)



7 0
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Answer:

6) -

7) +

8) +

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10) +

Step-by-step explanation:

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