Aline passes through point (3, 7) and has a slope of . the equation of the line is . if point a(x, 5) lies on the line, the value of x is . nextreset

(a) y = 3/4*x + 19/4

(b) x = 1/3

Step-by-step explanation:

Assumption: line slope (m) is 3/4  

(a)

Line general formula is y = m*x + b. In this exercise, you knew a point which lies on the line and its slope. So, replacing in the formula and solving for b gives

7 = 3/4*3 + b

b = 7 - 9/4

b = 19/4

Then, the equation of the line is y = 3/4*x + 19/4

(b)

Replacing the point into the formula obtained previously and solving for x gives

5 = 3/4*x + 19/4

x = (5 - 19/4)*4/3

x = 1/3

there is no grid

step-by-step explanation:

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92