firdous2004 firdous2004
  • 22-01-2020
  • Mathematics
contestada

Find the acute angle between the two given lines

y=-2x and y=x

Respuesta :

MathPhys
MathPhys MathPhys
  • 22-01-2020

Answer:

θ ≈ 71.6°

Step-by-step explanation:

The angle between two lines with slopes m₁ and m₂ is:

tan θ = | (m₂ − m₁) / (1 + m₁m₂) |

Here, m₁ = -2 and m₂ = 1.

tan θ = | (1 − (-2)) / (1 + (-2)(1)) |

tan θ = | 3 / -1 |

tan θ = 3

θ ≈ 71.6°

Answer Link

Otras preguntas

What is the basic ratio for 120:150
Magnesium (Mg) is located to the right of sodium (Na) because Mg has.... a.) Less electrons b.) Less protons c.) Both a.) And b.) d.) None of the above.
-11 - 5a = 6(5a+4) ?? Totally having a brain fart
What is z over 5 - 7=2 and 1 3
find three consecutive integers such that the sum of twice he smallest and 3 times the largest is 126.
(1/6)^×=216 solve for x
What makes up about 50 percent of all land areas in the United States?
Civilization has changed much in the last 2,000 years, or two ____________. A. millennia B. centuries C. millennium D. decades
In the proportion 2/h=k/10, what happens to the value of h as the value of k decreases?
what happens to your muscles during a warm up?