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Pachacha [2.7K]
4 years ago
5

Write an equation of the line that passes through the given points. (-2,7) and (1,-2)

Mathematics
1 answer:
Effectus [21]4 years ago
7 0
General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (-2,7),\ (1,-2)\ into\ equation\\\\  \left \{ {{7=-2a+b} \atop {-2=a+b\ \ |:-1}} \right. 
\\\\ \left \{ {{7=-2a+b} \atop {2=-a-b}} \right. \\+-----\\\\9=-3a\ \ \ |:-3\\a=-3\\\\-2=-3+b\\-2+3=b\\b=1\\\\y=-3x+1
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Two sides of a triangle measure 8 ft and 12 ft, respectively. The included angle is 65˚. Approximately how long is the third sid
Virty [35]

Answer:

Approximately 11 feet.

Step-by-step explanation:

Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:

c^{2} = a^{2} + b^{2} - 2abCos C

⇒ x^{2} = 8^{2} + 12^{2} - 2(8 x 12) Cos65^{o}

       = 64 + 144 - 192 x 0.42262

       = 208 - 81.143

       = 126.857

x = \sqrt{126.857}

  = 11.2631

x ≅ 11

The length of the third side of the triangle is approximately 11 feet.

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3 years ago
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DochEvi [55]

Step-by-step explanation:

(-2a² + s)(5a² - 6s)

= (-2a²)(5a²) + (-2a²)(-6s) + (s)(5a²) + (s)(-6s)

= -10a⁴ + 12a²s + 5a²s - 6s²

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What is the circumference if the diameter is 21in and pi is 22/7
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66 in

Explanation:

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So, replacing the values, we get:

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