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belka [17]
3 years ago
11

Solve for g: 4g/14 - 3/7 - g/14 = 3/14

Mathematics
2 answers:
Luden [163]3 years ago
8 0
<span><u><em>Answer:</em></u>
g = 3

<u><em>Explanation:</em></u>
To solve for g, we will need to isolate the g on one side of the equation.
<u>This can be done as follows:</u>
</span>\frac{4g}{14} -  \frac{3}{7} -  \frac{g}{14} =  \frac{3}{14}<span>

<u>1- multiply all terms by 14 to get rid of the fraction:</u>
4g - 6 - g = 3

<u>2- Combine like terms:</u>
4g - g = 3 + 6
3g = 9

<u>3- Isolate the g:</u>
</span>\frac{3g}{3} =  \frac{9}{3}
<span>
g = 3

Hope this helps :)</span>
Sonja [21]3 years ago
4 0

Answer:

g = 3

Step-by-step explanation:

 Given: Expression \frac{4g}{14}-\frac{3}{7}- \frac{g}{14}=\frac{3}{14}

We have to solve for g .

Consider the given expression  \frac{4g}{14}-\frac{3}{7}- \frac{g}{14}=\frac{3}{14}

Cancel common factor 2,

\frac{4g}{14}=\frac{2g}{7}

Expression becomes,

\frac{2g}{7}-\frac{3}{7}-\frac{g}{14}=\frac{3}{14}

Multiply both side by LCM = 14

\frac{2g}{7}\cdot \:14-\frac{3}{7}\cdot \:14-\frac{g}{14}\cdot \:14=\frac{3}{14}\cdot \:14

Simplify, we have,

4g-6-g=3

Adding g both side , we have,

3g-6=3

Adding 6 both side, we have,

3g=9

Divide both sde by 3, we have,

g = 3

Thus, g = 3

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Step-by-step explanation:

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On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)
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Answer:

P = 10 + 2\sqrt{53} units

Step-by-step explanation:

Given

Shape: Kite WXYZ

W (-3, 3),  X (2, 3),

Y (4, -4),  Z (-3, -2)

Required

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First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

For WX:

(x_1, y_1)\ (x_2,y_2) = (-3, 3),\ (2, 3)

WX = \sqrt{(-3 - 2)^2 + (3 - 3)^2}

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XY = \sqrt{(2 - 4)^2 + (3 - (-4))^2}

XY = \sqrt{-2^2 + (3 +4)^2}

XY = \sqrt{-2^2 + 7^2}

XY = \sqrt{4 + 49}

XY = \sqrt{53}

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YZ = \sqrt{(4 - (-3))^2 + (-4 - (-2))^2}

YZ = \sqrt{(4 +3)^2 + (-4 +2)^2}

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YZ = \sqrt{53}

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(x_1, y_1)\ (x_2,y_2) = (-3, -2)\ (-3, 3)

ZW = \sqrt{(-3 - (-3))^2 + (-2 - 3)^2}

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P = WX + XY + YZ + ZW

P = 5 + \sqrt{53} + \sqrt{53} + 5

P = 5 + 5 + \sqrt{53} + \sqrt{53}

P = 10 + 2\sqrt{53} units

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