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2 years ago

What is an equation of the line that passes through the points (-2,1) and (-6,-5)

Mathematics

1 answer:

KATRIN_1 [288]2 years ago

7 0

Answer: y = 3/2x+4 if you need to write it in slope intercept form and please give brainliest i will appreciate it.

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How do I do this? Please help!

const2013 [10]

I already answered this question, if you look back in your questions you should find this answered along with another one. I'll do it again just in case you don't find it.

Answer:

{y,x} = {-4,-2}

Expanation:

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = 2x

// Plug this in for variable y in equation [2]

[2] -2•(2x) - 8x = 24

[2] - 12x = 24

// Solve equation [2] for the variable x

[2] 12x = - 24

[2] x = - 2

// By now we know this much :

y = 2x

x = -2

// Use the x value to solve for y

y = 2(-2) = -4

8 0

2 years ago

Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel

timama [110]

Answer:

$\displaystyle A=\frac{1}{192}$

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

$P=4x+3y$

We know the total fencing is 1/2 miles long, thus

$\displaystyle 4x+3y=\frac{1}{2}$

Solving for x

$\displaystyle x=\frac{\frac{1}{2}-3y}{4}$

The total area of the pasture is

$A=x.y$

Substituting x

$\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y$

$\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}$

Differentiating with respect to y

$\displaystyle A'=\frac{\frac{1}{2}-6y}{4}$

Equate to 0

$\displaystyle \frac{\frac{1}{2}-6y}{4}=0$

Solving for y

$\displaystyle y=\frac{1}{12}$

And also

$\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}$

Compute the second derivative

$\displaystyle A''=-\frac{3}{2}.$

Since it's always negative, the point is a maximum

Thus, the maximum area is

$\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}$

6 0

2 years ago

Choose the math property used to complete the mathematical step shown below.

Katena32 [7]

x + 15 = 24

subtract 15 from both sides

x = 24 - 15 = 9

4 0

3 years ago

Read 2 more answers

What is the number gonna be if you divide a negative by a negative?

mina [271]

If you divide a negative by a negative, your result will be positive.
For example, -5/-1=5.

8 0

2 years ago

Solve 3x ≤ -6. Graph the solution.

Alinara [238K]

$as \: given \: \: 3x \leqslant - 6 \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: so \: \frac{3x}{3} \leqslant \frac{ - 6}{3} \: \ \\ results \: in \: x \leqslant - 2$

3 0

2 years ago

Read 2 more answers