Answer:
vertical translation of 3 units down
Step-by-step explanation:
we have
The vertex of the graph of f(x) is the point (0,0)
The vertex of the graph of g(x) is the point (0,-3)
see the attached figure to better understand the problem
so
The transformation of f(x) to g(x) is
f(x) -----> g(x)
(0,0) -----> (0,-3)
(x,y) -----> (x,y-3)
That means -----> The translation is 3 units down
therefore
vertical translation of 3 units down
Answer:
x = -3
Step-by-step explanation:
10(x-5) = -80
10x - 50 = -80
10x -50 + 50 = -80 + 50
10x = -30
10x ÷ 10 = -30 ÷ 10
x = -3
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
brainly.com/question/7098341
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The answer is $9.50 because you need to take the total of the popcorn which is $16.50. Then subtract that from $45 and get $28.50. The last step to do is divide $28.50 by three to get your final answer= $9.50
The answer is= $9.50
