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3 years ago

2(x-5)=3(x+7) Show the process, please.

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

5 0

Answer:

-31

Step-by-step explanation:

(2×x) - (2×5) = (3×x) + (3×7)

2x-10 = 3x+21

2x-3x = 21+10

-x = 31

therefore, x = -31

Natalija [7]3 years ago

4 0

Answer:

x=11

Step-by-step explanation:

2(x+5)=3(x+7)

2x+10=3x+21

3x-2x=21-10

x=11

Hope this helps! :)

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Determine the measure of each segment then indicate whether the statements are true or false

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Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

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Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

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Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

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K(7, 2)

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Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

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$=\sqrt{3^2+0}$

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$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

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$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

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