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Ghella [55]
3 years ago
13

Use the Pythagorean theorem to classify the triangle

Mathematics
2 answers:
bazaltina [42]3 years ago
8 0

The triangle with sides 5, 12, 13 is a right triangle because

a^2+b^2 = c^2

5^2+12^2 = 13^2

25+144 = 169

169 = 169

I'm using the pythagorean theorem converse.

Digiron [165]3 years ago
7 0

Answer:

they are equal

Step-by-step explanation:

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(SHOW WORK) Write the slope-intercept form of the equation:
stiks02 [169]

Answer:

\displaystyle y = -4x - 5

Step-by-step explanation:

We want to find the slope-intercept form of the equation that passes through the point (-2, 3) and is perpendicular to the line:

\displaystyle y = \frac{1}{4} x - 4

Note that this line has a slope of 1/4.

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

Since the slope of our old line is 1/4, the slope of its perpendicular line must be -4.

We are also given that it passes through the point (-2, 3). So, we can consider using point-slope form:

\displaystyle y - y_1 = m(x - x_1)

Let (-2, 3) be (<em>x₁, y₁</em>) and substitute -4 for the slope <em>m</em>. Hence:

\displaystyle y - (3)= -4 (x - (-2))

Convert into slope-intercept form. Simplify:

\displaystyle \begin{aligned} y -3 &= -4 (x + 2) \\ y - 3 &= -4x - 8 \\ y &= -4x -5\end{aligned}

In conclusion, the perpendicular line that passes through the point (-2, 3) is given by:

\displaystyle y = -4x - 5

7 0
3 years ago
-<br>487<br>-5<br>6<br>-<br>43<br>m<br>6<br>5/17<br>+ - - m<br>415<br>– 1​
brilliants [131]

Step-by-step explanation:

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4 0
3 years ago
Which shape has no parallel sides?
Georgia [21]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
the product of two consecutive integers is 5 more than three times the larger integer. Find the larger integer. please help!​
Blababa [14]

Answer:

x = 5 or -1

Step-by-step explanation:

let larger integer be: x

the smaller integer is: x-1

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4 0
3 years ago
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