Slope = (y2 - y1)/(x2 - x1)
slope = (7 - -2)/(-3 - 6)
slope = 9/-9
slope = -1
Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20
<h3>
Answer: x + y = 2</h3>
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Work Shown:
y - 6 = -(x + 4)
y - 6 = -x - 4
y = -x - 4 + 6 ..... adding 6 to both sides
y = -x + 2
y + x = 2 .... adding x to both sides
x + y = 2
The equation is in standard form Ax+By = C, with A = 1, B = 1, and C = 2.
The magnitude of -1-5i is √26.
<h3>What is the magnitude of -1-5i ?</h3>
Given the complex expression; -1 - 5i
To find the magnitude, we use the formula;
| a+bi | = √[ a² + b² ]
| a+bi | = √[ a² + b² ]
| -1-5i | = √[ (-1)² + (-5)² ]
| -1-5i | = √[ 1 + 25 ]
| -1-5i | = √26
Therefore, the magnitude of -1-5i is √26.
Learn more about magnitudes here: brainly.com/question/18152189
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Answer:
1⅓ inches
Step-by-step explanation:
Area = side² = x²
9(x²) = 16
x² = 16/9
x = 4/3 inches or 1⅓ inches
