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spin [16.1K]
3 years ago
10

Ted's patio is the shape of a right triangle. Tell how he should determine the area of the patio.

Mathematics
1 answer:
krok68 [10]3 years ago
7 0
A right triangle is either 90 degrees or 180 degrees
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D

Step-by-step explanation:

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• log_{b} x = n ⇔ x = b^{n}

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log_{3} x = 4 ⇒ x = 3^{4} = 81 → D

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The midpoint of AB is M (2, -1). If the coordinates of A are (1, 6), what are the
MatroZZZ [7]

The coordinates of B are (3, -8). Where the line-segment AB has the midpoint at M with coordinates (2, -1).

<h3>How to calculate the midpoint?</h3>

The midpoint on a line segment with two endpoints (x1, y1) and (x2, y2) is

Midpoint (x, y) = (\frac{x1+x2}{2}, \frac{y1+y2}{2})

<h3>Calculation:</h3>

The given line segment is AB with coordinates A(1, 6) and B(x2, y2).

M is the midpoint of line segment AB. Its coordinates are M(2, -1)

Then, the coordinates of B are calculated by

M(x, y) = (\frac{x1+x2}{2}, \frac{y1+y2}{2})

(2, -1) = (\frac{1+x2}{2}, \frac{6+y2}{2})

In comparing both sides,

2 = (1 + x2)/2 and -1 = (6 + y2)/2

On simplifying,

2 = (1 + x2)/2

⇒ 4 = (1 + x2)

⇒ 1 + x2 = 4

⇒ x2 = 4 - 1

∴ x2 = 3

-1 = (6 + y2)/2

⇒ 6 + y2 = -2

⇒ y2 = -2 - 6

∴ y2 = -8

Thus, the coordinates of the required point are B(3, -8).

Learn more about calculating the midpoint here:

brainly.com/question/5566419

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4 0
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