Answer:
64
Step-by-step explanation:
Always get rid of denominators first. Multiply both right and left side by 6
-7 (6) = -c (6)/6 + 12(6)
-42 = -c + 72
c = 72 +42
c = 114
rearrange like terms together
42 = 18 - 4x
4x = 18 -42
4x = -24
divide both sides by 4
x = -6
Answer: P ( 3/2, - 1 )
Step-by-step explanation: the formulae that defines the midpoint of a line is given below as
x = (x2 + x1)/2 and y = (y2 + y1)/2
Where x and y are the coordinates of the mid point.
Point A is (-1, 5) hence x1 = - 1 and y1 = 5
Point B is (4, -3) hence x2= 4 and y2 = - 3
For x coordinate, we have that 4 + (-1)/2 = 4 - 1/ 2 = 3/2
For y coordinate, we have that - 3 + 5 / 2 = - 2/2 = - 1
Hence, coordinate of midpoint is P ( 3/2, - 1 )
Using translation concepts, it is found that function g(x) is given by:
g(x) = x + 8.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, function g(x) is a translation 8 units left of f(x) = x, hence x -> x + 8 and:
g(x) = f(x +8) = x + 8.
More can be learned about translation concepts at brainly.com/question/4521517
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