Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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

Sagot :

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)