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Troyanec [42]
3 years ago
13

Find an equation for the line with the given properties. Express the equation in​ slope-intercept form.

Mathematics
1 answer:
Zanzabum3 years ago
4 0

Answer:

or, y + 4 = m (x - 7) + c is the given equation.

Step-by-step explanation:

Here, the slope of the equation = -5

⇒m = -5

The given point is (7, -4)

⇒(x_{0}, y_{0}) = (7,-4)

Now, the general form of the equation is :

y - y_{0}  = m(x - x_{0}) + c  : c = arbitrary constant

So, the given equation becomes

y - (-4)  = m(x - 7) + c

or, y+ 4 = m (x - 7) + c is the given equation.

Here, m = the slope of the equation.

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Answer:

25

Step-by-step explanation:

5 x 25= 125

125 + 125 = 175

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3 years ago
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A una distancia de 2 metros de la base de una torre, vemos su bandera en un Distancia de 5,39 metros en línea recta. ¿Cuál es la
Sidana [21]

Answer:

La altura de la torre es de 4,0052 m.

Step-by-step explanation:

En la figura vemos que la persona está parada en C y la bandera en A.

Se dan la base y la hipotenusa, tenemos que encontrar la altitud / altura / perpendicular del triángulo.

Según el teorema de Pitágoras

hipotenusa² = base² + perpendicular²

o

perpendicular² = hipotenusa²- base²

perpendicular² = 5.39²- 2²

perpendicular² = 29.0521-4

perpendicular² = 25.0521

perpendicular = √25.0521

perpendicular = 5.0052m

Ahora, en el punto A, la altura de la bandera se incluye en la altura de la torre.

La longitud de la bandera se deduce para obtener la altura real de la torre.

perpendicular = longitud de la bandera + altura de la torre

altura de la torre = perpendicular - longitud de la bandera

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La altura de la torre es de 4,0052 m.

From the figure we see that the person is standing at C and the flag is at A.

The base and the hypotenuse are given we have to find the altitude / height/ perpendicular of the triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

or

perpendicular²= hypotenuse²- base²

perpendicular²= 5.39²- 2²

perpendicular²= 29.0521-4

perpendicular²= 25.0521

perpendicular= √25.0521

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Now at the point A the height of the flag is included in the height of the tower.

The length of the flag is deducted to get the actual height of the tower.

perpendicular= flag length  + tower height

tower height = perpendicular - flag length

            =5.0052- 1= 4.0052m

The tower height is 4.0052m

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Step-by-step explanation:

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