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3 years ago

2x+3y=-3 covert to y=mx+b

Mathematics

2 answers:

Snezhnost [94]3 years ago

7 0

When you do y=mx+b and solve you get -1

amid [387]3 years ago

5 0

$2x+3y=-3\ \ \ \ |-2x\\\\3y=-2x-3\ \ \ \ |:3\\\\y=-\dfrac{2}{3}x-1$

$m=-\dfrac{2}{3},\ b=-1$

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Given the following points, write the equation of the line that goes through them. ( -12,56), (0,8), and (8,-24).

BaLLatris [955]

Answer:

$y=-4x+8$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the data

(0,8), and (8,-24).

substitute

$m=\frac{-24-8}{8-0}$

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$m=-4$

step 2

Find the equation of he line in slope intercept form

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we have

$m=-4$

$b=8$ ----> the y-intercept is given

substitute

$y=-4x+8$

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Margarita [4]

Answer :-

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Step by step explanation :-

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

In ∆ABC ,

=> sin 30 ° = AB / AC

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=> AB = 18ft/2

=> AB = 9ft .

Again In ∆ ABC ,

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

<h3>Hence the perimeter of the triangular pathway shown is 9 ( 3 + √3 ) ft .</h3>

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3 years ago