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Marianna [84]
3 years ago
8

Omg lol hey nice weather

Mathematics
1 answer:
Simora [160]3 years ago
7 0

Answer:

Step-by-step explanation:

Um? I do not thing you showed your answers.

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Show that the points A(-1,2), B (5,2) and C (2,5) are the vertices of an isosceles triangle. Find the area of ∆ABC
EastWind [94]

Answer:

the area of ∆ABC = 9

Step-by-step explanation:

CA=\sqrt{\left( -1-2\right)^{2}  +\left( 2-5\right)^{2}  } = \sqrt{18} =3\sqrt{2}

CB=\sqrt{\left( 5-2\right)^{2}  +\left( 2-5\right)^{2}  } = \sqrt{18} =3\sqrt{2}

<em>Since</em> CA = CB  <em>then</em>  A(-1,2), B (5,2) and C (2,5) are the vertices of an isosceles triangle.

Area calculation:

Let The point H be the midpoint of side AB

x_{H}=\frac{-1+5}{2} =2\\y_{H}=\frac{2+2}{2} =2

Then

H(2 , 2)

therefore,

CH=\sqrt{\left( 2-2{}\right)^{2}  +\left( 2-5\right)^{2}  } =3

Finally,

\text{the area of triangle ABC} =\frac{\text{CH} \times \text{AB} }{2} =\frac{3\times 6}{2} =9

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2 years ago
Can you answer number 20
Natasha2012 [34]
The numbers go as followed, from top to bottom: 11,13,15
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3 years ago
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Find the volume will give brainlest
harkovskaia [24]
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3 years ago
Can someone PLZZZZ HELP!!!!
swat32

Answer:

The solution is:

Part A. \sqrt{5}^{\frac{7k}{3}}) which is sqrt(5)^7k/3[/tex]

Part B. k = 18/7

Step-by-step explanation:

Part A.

To solve this part, we're going two use THREE important properties of exponents:

1. (x^{n})^{m} = x^{nm}

2. \frac{x^{n}}{x^{m}} = x^{n-m}

3. \sqrt[n]{x^{m}} = x^{\frac{m}{n} }

Let's work the numerator using the properties 1, 2 and 3:

(\sqrt{5}^{3} )^{\frac{k}{9} } }  = (\sqrt{5}^{3\frac{k}{9}}) = (\sqrt{5}^{\frac{k}{3}})

Let's work the denominator using the properties 1, 2 and 3:

(\sqrt{5}^{6} )^{-\frac{k}{3} } }  = (\sqrt{5}^{6\frac{k}{3}}) = (\sqrt{5}^(2k))

Now dividing the numerator by the denominator:

\sqrt{5}^{\frac{k}{3}-(-2k)})=\sqrt{5}^{\frac{7k}{3}})

Part B

if 5^{\frac{3}{2} } 5^{\frac{3}{2}} = \sqrt{5}^{\frac{7k}{3}})

Then:

5^{3} = 5^{\frac{7k}{6}})

So \frac{7k}{6}} = 3

Solving for k, we have:

k = 18/7

7 0
4 years ago
1.) Jeffjust bought a house on a triangular lot. The
zhannawk [14.2K]

Answer:176 feet

Step-by-step explanation:because you multiply all sides of the triangle

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3 years ago
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