Answer:
The line equation is given as: 3 y = 2 x - 9
Step-by-step explanation:
Here, Y intercept is at point ( 0.-3)
So, at x = 0, y = -3
or, C = -3
Also, the point on the equation line is (x,y) = (-9,-9)
Now, by <u>SLOPE INTERCEPT FORM</u> of a line equation,we get:
y = m x + C : m = slope of line ......... (1)
So, substituting the values of C and (x,y) , we get:
-9 = m (-9) + (-3)
or, -9 + 3 = - 9 m
or, m = -6/-9 = 2/3
or, m = 2/3
Now, substitute the value of m back in to the line equation (1)

Hence, the line equation is given as: 3 y = 2 x - 9.
The transformation from 1 to 2 is a translation, as the shape is moved from one point to another with no rotation, reflection, or change in size.
The transformation from 2 to 3 is a reflection, as the shape is now upside down. It is still the same distance from the y-axis.
The answer is D. translation, then reflection.
Answer:
r = 2.23
Step-by-step explanation:
Use the formula:
C = 2(pi)r
Solve for r:
r = C
/2π = 14
/2·π = 2.228
Answer:
416mm³
Step-by-step explanation:
Volume of rectangular prism
= 10.4mm × 5mm × 8mm
= 416mm³
F(x) = -x + 4
g(x) = -2x - 3
f(g(x)) = -(-2x - 3) + 4 = 2x + 3 + 4 = 2x + 7
f(g(2)) = 2(2) + 7 = 4 + 7 = 11