$\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}$

NOTE: The sign between 4x and 7 is missing in the question you posted. I assumed it was 4x + 7 in order to solve the equation.

6 0

2 years ago

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Find the midpoint of the segment with the given endpoints. M(–2, 1) and N(–3, 2)

mafiozo [28]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
M(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad 
N(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2})
\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{-3-2}{2}~~,~~\cfrac{2+1}{2} \right)\implies \left(-\frac{5}{2}~,~\frac{3}{2} \right)$

5 0

2 years ago

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A complex shape with measurements 10 feet, 4 feet, 7 feet, 5 feet, 3 feet, 9 feet.

Archy [21]

Answer:

Add each side to get perimeter so your total is 38ft

Step-by-step explanation:

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2 years ago

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