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11Alexandr11 [23.1K]
4 years ago
8

Solving Systems of Linear Equations by graphing. 3y+4x=3 and x+3y=-6. Can someone help me with where the lines intersect and sho

w me how they solved it on paper? I keep getting it wrong even though i think its right but i just need a second opinion
Mathematics
1 answer:
Greeley [361]4 years ago
8 0
The best way to do this question is to use elimination. Elimination is a way to find out the POINT OF INTERSECTION between two lines. Let me show you how.

3y+4x=3
x+3y=-6

Elimination is a way to remove any same variable with the same coefficient. In this case, there is 3y in both equations. In this case, we subtract to eliminate.

3y-3y+4x-x=3+6  It's plus 6 because two negatives become positive.
3x=9  Divide both sides by 3
x=3

Now you can find y.

x+3y=-6
3+3y=-6
3y=-9
y=-3

Therefore, the POI is (3,-3). I hope you understand this. Make sure to mark as brainliest.
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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
4 years ago
Find the slope from the points below. Just type the correct numerical answer. (2, -2) (7, 8)
Aleonysh [2.5K]
(2,-2)
(7,8)

-2-8 = -10
——. ——-
2-7. -5

-10/5 = 2/1

2/1 =

2

Slope is 2
4 0
3 years ago
Someone help, I don't understand what trig ratio to use, or how to get the answer to w or x
shtirl [24]

Answer:

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Step-by-step explanation:

4 0
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. Sinaia is having a birthday party with snacks and activities for her guests. At one table, five
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Answer:

1/5 or 0.2 of the whole pizza

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Step-by-step explanation:

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