If x < -4, then -4 is a solution. True False

Mathematics

2 answers:

Ratling [72]3 years ago

8 0

Answer:

i believe it would be true

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

solniwko [45]3 years ago

5 0

Answer:

true

Step-by-step explanation:

the less than or equal to sign (≤) means that -4 is a solution. if it was the less than sign (<) then -4 would not be included

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Given the equation of a line y = 5x -16, what is the slope of a line PERPENDICULAR to this line?

Doss [256]

Answer:

$-\frac{1}{5}$

Step-by-step explanation:

Notice that the equation y = 5x - 16 is in slope-intercept form, or $y = mx + b$ format. Whenever an equation is in slope-intercept form, the number in place of the $m$ , or the coefficient of the x-term, represents the slope of that line. So, the slope of the given line is 5.

Slopes that are perpendicular to each other are opposite reciprocals. So, we need to find the opposite reciprocal of 5. To do that, write it as a fraction, making it $\frac{5}{1}$ . Then, switch the sign and flip the numerator and denominator. This means that the opposite reciprocal of 5 is $-\frac{1}{5}$ , so $-\frac{1}{5}$ is the perpendicular slope.