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matrenka [14]
2 years ago
15

Here is an equation 2x + 9 = -15. What are three different equations that have the same solution as that equation? Show or expla

in how you found them Please
Mathematics
1 answer:
Sliva [168]2 years ago
6 0

To find those equations we can do any multiplication or division of both sides of the equation:

Examples:

2x + 9 = -15              | · 2

4x + 18 = -30

2x + 9 = -15              | · (-1)

-2x - 9 = 15

2x + 9 = -15               | ÷ 2

x + 4.5 = -7.5

There is the same solution: x = -12.

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On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N
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Answer:

LMN has a larger area

Step-by-step explanation:

Given

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Required

Compare both areas

The area of triangle is:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

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Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|

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Remove absolute signs

Area = \frac{1}{2}*10

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For LMN, we have:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|

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Remove absolute signs

Area = \frac{1}{2}*14

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<em>By comparing both areas, we can conclude that LMN has a larger area</em>

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