False. An equilateral polygon with 108 degrees would be an equilateral triangle.
From the graph we can observe that G(x) is obtained by shifting F(x) 3 units to the left and 1 unit upwards.
Thus, both horizontal and vertical translations are involved. Horizontal translation of 3 units to left can be obtained by adding 3 to x in the equation and vertical translation of 1 can be obtained by adding 1 to the entire function.
So,
G(x) = F(x+3) + 1
G(x) = (x+3)² + 1
Thus the correct answer is option C
To find the x-intercept, substitute 0 for y and solve for x.
-6x + 3(0) = 18.9
-6x = 18.9
x = 18.9 / -6
x = -3.15 <-- Your x-intercept is (-3.15,0)
To find the y-intercept, substitute in 0 for x and solve for y.
-6(0) + 3y = 18.9
3y = 18.9
y = 18.9/3
y = 6.3 (0,6.3) <-- Your x-intercept is (0,6.3)
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Answer:
DL/dt = 17 mph
Step-by-step explanation:
The ships and the port shape a right triangle
Ship going west ( x-direction) is traveling at 15 mph
Ship going north (y-direction) is traveling at 10 mph
The distance L between ships is:
L² = x² + y²
Tacking derivatives on both sides of the equation with respect to time
we get
2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt (1)
In that equation we know:
Dx/dt = 15 mph
Dy/dt = 10 mph
At the moment ship traveling from the east is at 3 miles from the port
then x = 3 m and the other ship is at 4 miles north
then by Pythagoras theorem
L = √ 3² + 4² L = 5
By substitution in equation 1
2*5*DL/dt = 2*3*15 + 2*4*10
10* DL/dt = 90 + 80
DL/dt = 170 / 10
DL/dt = 17 mph
