Answer:
The answer to your question is y = -1/4x + 15/4
Step-by-step explanation:
Data
P (-1, 4)
⊥ y = 4x + 1
Process
1.- Find the slope of the line given
y = 4x + 1
slope = 4
2.- Find the slope of the new line
slope 2 = -1/4
3.- Find the equation of the line
y - y1 = m(x - x1)
Substitution
y - 4 = -1/4(x + 1)
Simplification
y - 4 = -1/4x - 1/4
y = -1/4x - 1/4 + 4
y = -1/4x - 1/4 + 16/4
Result
y = -1/4x + 15/4
The answer choice which explains that the three segments cannot be used to construct a triangle is; AC + CB < AB.
<h3>Which inequality explains why the three segments cannot be used to construct a triangle?</h3>
Since, It follows from the triangle inequalities theorem that sum of the side lengths of any two sides of a triangle is greater than the length of the third side.
Hence, since the sum of sides AC + CB is less than AB, it follows that the required inequality is; AC + CB < AB.
Read more on triangle inequalities;
brainly.com/question/309896
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The answers are the second, fifth, and sixth.
Option C: 6 is the value of 
Explanation:
The given expression is 
We need to determine the value of
To find the value of , let us substitute 
in the given expression.
Thus, substituting in the expression, we have,
Adding the terms, we get,
Since, we know the absolute rule that 
and the simplified expression is of the form 
, let us apply the absolute rule in the simplified expression.
Thus, we have,
Thus, the value of is 6.
Hence, Option C is the correct answer.
4h +8=20
Hours worked times rate paid plus 8 must equal 20
