Given the functions f(x) = −3x + 51 and g(x) = 3x − 9, find the value of x for which f(x) = g(x). The value of x for which f(x) = g(x) is x

PLS ANSWER ASAP

x = 10

Step-by-step explanation:

Step 1: Define

f(x) = -3x + 51

g(x) = 3x - 9

f(x) = g(x)

Step 2: Set up equation

f(x) = g(x)

-3x + 51 = 3x - 9

Step 3: Solve for x

51 = 6x - 9

60 = 6x

x = 10

Step 4: Check

f(10) = -3(10) + 51

f(10) = -30 + 51

f(10) = 21

g(10) = 3(10) - 9

g(10) = 30 - 9

g(10) = 21

f(10) = g(10) = 21

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

the first one, all those points on the line just make a strait line.