Answer:
y = 5/4x - 6
Step-by-step explanation:
First, put 4x + 5y= -45 in y = mx + b form
4x + 5y= -45
5y = -4x - 45
y = -4/5x - 9
So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4
To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b
y = mx + b
-11 = 5/4(-4) + b
-11 = -5 + b
-6 = b
Plug in b and the slope into y = mx + b
y = 5/4x - 6
So, the equation is y = 5/4x - 6
<span>slope formula, which states that m = (y2 -- y1) / (x2 -- x1).</span>
The value of the function (f - g)(x) is x² + 3x + 5
<h3>How to solve functions?</h3>
A function is defined as a relation between a set of inputs having one output each.
In a simpler terms, a function relates input and output.
Therefore, let's solve the function (f - g)(x)
f(x) = √16x⁴
g(x) = 3x² - 3x - 5
Therefore,
(f - g)(x) = f(x) - g(x)
(f - g)(x) = √16x⁴ - (3x² - 3x - 5)
(f - g)(x) = √16x⁴ - 3x² + 3x + 5
(f - g)(x) = 4x² - 3x² + 3x + 5
Therefore,
(f - g)(x) = x² + 3x + 5
learn more on function here: brainly.com/question/15607023
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Answer:
the answer is yes because on a graph, even if it has a x intercept, it will eventually intercept the y intercept b/c the line will continue infinitely.
Step-by-step explanation:
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