$-\dfrac{2}{3}(3x-4)+3x=\dfrac{5}{6}\ \ \ \ |\text{use distributive property}\\\\-\dfrac{2}{\not3_1}\cdot\not3^1x+\dfrac{8}{3}+3x=\dfrac{5}{6}\\\\-2x+3x+\dfrac{8}{3}=\dfrac{5}{6}\ \ \ \ |-\dfrac{8}{3}\\\\x=\dfrac{5}{6}-\dfrac{8}{3}\\\\x=\dfrac{5}{6}-\dfrac{8\cdot2}{3\cdot2}\\\\x=\dfrac{5}{6}-\dfrac{16}{6}\\\\\boxed{x=-\dfrac{11}{6}}$

Other method:

$-\dfrac{2}{3}(3x-4)+3x=\dfrac{5}{6}\ \ \ \ |\cdot6\\\\2(-2)(3x-4)+18x=5\\\\-4(3x-4)+18x=5\ \ \ \ |\text{use distributive property}\\\\-12x+16+18x=5\ \ \ \ |-16\\\\6x=-11\ \ \ \ |:6\\\\\boxed{x=-\dfrac{11}{6}}$

7 0

3 years ago

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Find the distance between the two points.<br> (-6, -7) and (154, - 43)

Vitek1552 [10]

Answer:

(160, 36)

Step-by-step explanation:

Distance is always positive because, well, you aren't -50 meters away from your house or something. You are just 50 meters away from your house. And 160 is the distance between -6 and 154, because there is one minus and one plus, you add them, because that is how far they are apart, and then-43 and -7 were easy just subtract them.

8 0

3 years ago

A protractor can measure all types of angles except which type?

tatyana61 [14]

C reflex because it goes over 180 degrees!

4 0

3 years ago

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What’s the inverse of 4x + 12

stiks02 [169]

Answer:

1/4x -3

Step-by-step explanation:

To find the inverse of a function, exchange x and y and then solve for y

y =4x+12

Exchange x and y

x = 4y+12

Solve for y

Subtract 12 from each side

x-12 = 4y+12-12

x-12 = 4y

Divide by 4

(x-12)/4 = 4y/4

The inverse is

1/4x -3

8 0

3 years ago