............................................................60 and 78
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.
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Answer:
The second option (choice b)
Step-by-step explanation:
At -1 is the line starts going up so its increasing. 2 shows that the line is starting to decrease so it would be between -1 and 1 where the line is increasing on the graph.
Answer: 0.0476 miles
Step-by-step explanation:
Daurie rides on her motorcycle for 252 miles on 6 gallons of gas. We will determine the unit rate in gallons. It means the number of miles that her motorcycle on one gallon of gas
Distance travelled on one gallon of gas would be 6/252 = 0.0238 miles
At this rate of 0.0238 miles per one gallon of gas, the distance travelled on 2 gallons of gas would be
2 × 0.0238 = 0.0476 miles
