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3 years ago

graph the linear equation. find three points that solve the equation, then plot on the graph. -x-3y=-6

Mathematics

1 answer:

alisha [4.7K]3 years ago

3 0

Answer:

The equation can be written as

x+3y=6

To graph, you need to create a table for values of x with corresponding values of y that satisfy the equation

Sample points that solve the equation could be;

(-3,3),(3,1) and (-9,5)

From the graph attached, the three points are;

(-6,4)
(0,2)
(6,0)

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Solve the inequality <br><br><br> what is the solution?

bija089 [108]

Answer:

The solution to the inequality is:

$2\ge \frac{g}{-4}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:g\ge \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:[-8,\:\infty \:)\end{bmatrix}$

Please also check the graph of the solution to the inequality.

Step-by-step explanation:

Given the inequality

$2\ge \frac{g}{-4}$

switch sides

$\frac{g}{-4}\le \:2$

Multiply both sides by -1 (reverse the inequality)

$\frac{g\left(-1\right)}{-4}\ge \:2\left(-1\right)$

Simplify

$\frac{g}{4}\ge \:-2$

Multiply both sides by 4

$\frac{4g}{4}\ge \:4\left(-2\right)$

Simplify

$g\ge \:-8$

Therefore, the solution to the inequality is:

$2\ge \frac{g}{-4}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:g\ge \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:[-8,\:\infty \:)\end{bmatrix}$

Please also check the graph of the solution to the inequality.

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A plane flew 193 km in 12 minutes at constant speed. what was the speed of the airplane in km per hour?

garri49 [273]

A plane flew 193 km in 12 minutes at constant speed. what was the speed of the airplane in km per hour? "965 km'

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An equiangular triangle can be scalene

uysha [10]

Answer:

No, as a scalene triangle's sides are are different, while an equilateral's sides are all the same.

Hope that helps, :)

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4 years ago

Plz help with this question

Vlad [161]

Answer:

We have been given a function and its graph.

$y=4 sin(3t)+2$

The first point should be midline of the given function

We can see the coordinate of the midline which is (-3.14,2) will be the first point.

And second point should be maximum or minimum.

So, there is minimum according to the graph.

The minimum point will be at when $sin3t=-1$

$3t=sin^{-1}(-1)$

$\Rightarrow 3t=-sin^{-1}(1)$

$\Rightarrow 3t=-\frac{\pi}{2}$

$\Rightarrow t=-\frac{\pi}{6}$

$\frac{\pi}{6}=-\frac{1.57}{3}$

So, the minimum point is: $(-\frac{1.57}{3},-2)$

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3 years ago