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Natalka [10]
4 years ago
7

6x-5y=22 y=-8 using systems of equations by substitution

Mathematics
2 answers:
Ivahew [28]4 years ago
5 0
\left \{ {{6x-5y=22} \atop {y=-8}} \right. \\\\ substitute\ y=-8\ into\ first\ equation\\\\
6x-5*(-8)=22\\\\
6x+40=22\ \ \ | subtract\ 40\\\\
6x=-18\ \ \ | divide\ by\ 6\\\\
x=-3\\\\
y=-8
Natasha_Volkova [10]4 years ago
3 0
We need to sub y=-8 into the first equation
6x+40=22
6x=-18
x=-3
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Answer:

180 in²

Step-by-step explanation:

Smaller octagon : larger octagon = 5 : 9

The area of the smaller octagon is 100 in2. Find the area of the larger octagon

Let x = area of larger octagon

Area of smaller octagon : Area of larger octagon = 100 in² : x in²

5 : 9 = 100 in² : x in²

5/9 = 100/x

Cross product

5 * x = 9 * 100

5x = 900

x = 900/5

= 180

x = 180 in²

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

<u><em>Explanation:-</em></u>

<em>Given that   Sin 2 (30)°</em>

<em>we know that the formula  sin2θ = 2sinθ cosθ</em>

<em>    Given that θ = 30</em><em>° </em>

<em>    Now  </em>

<em>          sin2(30)° = 2sin30° cos30°</em>

<em>                                              </em>= 2 ( \frac{1}{2} X \frac{\sqrt{3} }{2} )<em> </em>

<em>        After cancellation, we get</em>

<em>                            Sin 2 (30)° = </em>\frac{\sqrt{3} }{2}

<u><em>Final answer:-</em></u>

<em>           Sin 2 (30)° = </em>\frac{\sqrt{3} }{2}<em>    </em>

<em></em>

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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