Calculate, correct to one decimal plice the acute angle between the lines
3x - 4y + 5 = 0 and 2x + 3y -1 = 0
A. 70.69
B. 50.2
C. 39.8
D. 19.4

A. 70.69 is the correct answer.

Step-by-step explanation:

Given:

Two lines:

To find:

Angle between the two lines = ?

Solution:

Acute Angle between two lines can be found by using the below formula:

Where is the acute angle between two lines.

are the slopes of two lines.

Slope of a line represented by is given as:

So,

Putting the values in the formula:

So, correct answer is A. 70.69

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

good luck!

cutie~