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Leno4ka [110]
2 years ago
14

Write an equation in point-slope form for the line that passes through the point with the given slope.

Mathematics
1 answer:
Helen [10]2 years ago
7 0

Answer:

y+3=-1(x+6)

Step-by-step explanation:

point slope form:

y-y₁=m(x-x₁)

y-(-3)=-1(x-(-6)

y+3=-1(x+6)

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Find a recursive formula for the sequence:<br><br> 3, -5, 11, -21
vekshin1

The correct option is the last:

a_n = -2a_{n-1}+1

In fact, every term in the sequence is one more than twice the opposite of the previous one:

We start with 3. Twice its opposite is -6. Plus one, we get -5.

We start with -5. Twice its opposite is 10. Plus one, we get 11.

We start with 11. Twice its opposite is -22. Plus one, we get -21.

3 0
3 years ago
Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de
enot [183]

Answer:

La altura del globo con respecto al suelo es 449,6 metros.

Step-by-step explanation:

La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?

El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:

Ciudad A

\tan 27^{\circ} = \frac{h}{1500\,m-x}

0,510 = \frac{h}{1500\,m-x}

Ciudad B

\tan 36^{\circ} = \frac{h}{x}

0,727 = \frac{h}{x}

Donde h y x son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.

A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:

0,727\cdot x = 0,510\cdot (1500\,m-x)

1,237\cdot x = 765\,m

x = 618,432\,m

Finalmente, la altura del globo con respecto al suelo es:

h = 0,727\cdot x

h = 0,727\cdot (618,432\,m)

h = 449,600\,m

La altura del globo con respecto al suelo es 449,6 metros.

6 0
3 years ago
Analyze the table of values for the continuous function,
Brut [27]

Step-by-step explanation:

I will give you answer till tonight

6 0
2 years ago
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Which expression correctly represents “ten times the difference of a number and six”?
krok68 [10]

Answer: 10(x-6)

Step-by-step explanation:

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3 years ago
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Don't really understand how to solve please help &lt;3​
valina [46]
This is how the first one would be done. sorry if it’s a little messy the answer is 9. but try using photomath for the rest. it gives you the answer and explains how to do it

8 0
3 years ago
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