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Tatiana [17]
4 years ago
10

Archaeologists attempt to reconstruct past ways of life by examining preserved bones, the ruins of buildings, and artifacts such

as tools, pottery, and jewelry. During an archaeological dig, a coordinate grid is laid over the site to identify the location of artifacts as they are excavated. During a dig, three corners of a triangular building have been partially unearthed at (-1, 6), (4, 5), and (-3, -4). If each square on the grid measures one square foot, estimate the area of the floor of the building.
a. about 50ft^2

c. about 10ft^2

b. about 26ft^2

d. about 70ft^2
Mathematics
1 answer:
jok3333 [9.3K]4 years ago
5 0
I thing b I'm not sure tho
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hodyreva [135]

The given question can be solve using quadratic formula.

The correct option is (c) 3x^2 +8x -10=-8.

Given:

The given equation is,

x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}---------------------------(1)

Write the general quadratic equation.

ax^2 + bx +c=0

Write the quadratic formula.

x  =\dfrac {-b \pm  \sqrt{(b^2 - 4ac)} } {2a}------------------------------- (2)

Compare equation (1) and (2).

a=3\\b=8\\c=-2

Substitute the value of a, b and c in general quadratic.

3x^2 +8x -2=0

Subtract 8 from each side of above equation.

3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8

Thus, the correct option is (c) 3x^2 +8x -10=-8.

Learn more about quadratic equation here:

brainly.com/question/17177510

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2 years ago
How many x-intercepts are in y=3x^2+5?
Pepsi [2]

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This is shown on the graph.

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aev [14]

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Find the equation in standard form of the line with slope
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\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 5}}\quad ,&{{ 7}})
\end{array}
\\\\\\
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\\\\\\
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\\\\\\
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