The vector wequalsaiplusbj is perpendicular to the line axplusbyequalsc and parallel to the line bxminusayequalsc. It is also true that the acute angle between intersecting lines that do not cross at right angles is the same as the angle determined by vectors that are either normal to the lines or parallel to the lines. Use this information to find the acute angle between the lines below. a. x + √3y = 1
b. (1 - √3)x + (1 + √3)y = 8

Step-by-step explanation:

We are given that the equation of lines

According to question

The vector perpendicular to the lines is given by

and

Therefore, the  angle between two vectors is given by

Using the formula

Hence, the acute angle between the lines is given by

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation: