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Sonja [21]
3 years ago
6

2-(3x-4)=2x-9 Please give step by step answer!! Thanks!

Mathematics
2 answers:
kirza4 [7]3 years ago
7 0

Simplify both sides of the equation

2-(3x-4)=2x-9

2+-1(3x-4)=2x-9

Distribute the negative sign

2+-1(3x)+(-1)(-4)=2x-9

2+-3x+4=2x-9

2+-3x+4=2x+-9

Combine like terms

(-3x)+(2+4)=2x-9

-3x+6=2x-9

Subtract 2x from both sides

-3x+6-2x=2x-9-2x

-5x+6=-9

Subtract 6 from both sides

-5x+6-6=-9-6

-5x=-15

Divide both sides by -5

-5x/5=-15/-5

x=3


I hope that's help !


egoroff_w [7]3 years ago
4 0
First put the -1 into the 3x and -4, so it looks like 2-3x+4=2x-9, then combine 2 and 4, (-3x+6=2x-9), then subtract 2x from both sides (-5x+6=-9) then subtract 6 to both sides so -5x=-15, then divide by 5 so x=3 hope this helps!! sorry i messed up the first time
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Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric
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Answer:

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Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a  branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of  θ  then r=\sqrt{x^2+y^2}

r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17 units

\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan  \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan  \theta}=\frac{-8}{15}

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