ishmael4112 ishmael4112
  • 02-01-2021
  • Mathematics
contestada

Find the acute angle between the lines. 5x ? y = 2, 6x + y = 6

Respuesta :

PiaDeveau PiaDeveau
  • 02-01-2021

Answer:

Acute angle Ф = 20.77° (Approx)

Step-by-step explanation:

Given:

5x - y = 2

6x + y = 6

Find:

Acute angle

Computation:

5x - y = 2

6x + y = 6

So,

y = 5x - 2.....eq1

y = -6x + 6......eq2

Slop line y = mx + c

On comparison

m1 = 5 , m2 = -6

So,

TanФ = I(m1-m2)/(1+m1m2)I

TanФ = I(5+6)/(1-30)I

TanФ = 11/29

Ф = 20.77° (Approx)

Acute angle Ф = 20.77° (Approx)

Answer Link

Otras preguntas

Combine the like terms to simplify the expression: 5 + 7 + 15xy2 + 9y3 + 10x –13xy2 – 3x – 8y3 A. y3 + 2xy2 + 7x + 12 B. y3 –2xy2 + 10x + 15 C. y3 + 2xy2 + 1
Which U.S. senator cast the deciding vote for acquittal in the impeachment trial of Andrew Johnson? A. Thaddeus Stevens B. Edmund Ross C. Jefferson Davis D
Solve by using the perfect squares method. x2 + 16x + 64= 0 a. –8 b. –16 c. 8 d. 16
What is the total number of valence electrons in a germanium atom in the ground state?(1) 22 (3) 32(2) 2 (4) 4
As an atom becomes an ion, its mass number(1) decreases(2) increases(3) remains the same
What genes are mutated to cause cancer?
Which list of elements is arranged in order of increasing atomic radii? (1) Li, Be, B, C (3) Sc, Ti, V, Cr(2) Sr, Ca, Mg, Be (4) F, Cl, Br, I
Which compound could serve as a reactant in a neutralization reaction?(1) NaCl (3) CH3OH(2) KOH (4) CH3CHO
how do you solve 130 cm plus 50 mm
What is HDI? What factors influence the HDI of a country the most?