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ivanzaharov [21]
2 years ago
8

Solve this equation with substitution method :- x+5 = 3 (y+5) x-5 = 7 (y-5)

Mathematics
1 answer:
Damm [24]2 years ago
5 0
From the first equation,
x+5 = 3(y+5)
x = 3y + 15 - 5
Now substitue x in the second equation with (3y +15 - 5).
x-5 = 7(y-5)
(3y+15-5) - 5 = 7(y-5)
3y +5 = 7y - 35
-4y = - 40
y = 10

Since y is 10, and x is (3y +15 - 5),
x = 30 + 15 - 5 = 40
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The length of a rectangle is three times its width. The perimeter of the rectangle is at most 112cm. Which inequality models the
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Answer: w ≤ 14 cm , L ≤ 42 cm

<u>Step-by-step explanation:</u>

width (w): w

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Perimeter (P) = 2w + 2L

P ≤ 112

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2(w) + 2(3w) ≤ 112

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2 years ago
A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

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We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

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x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

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Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

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Step-by-step explanation:

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