The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Learn more:
You can learn more about the equations of the parallel lines in brainly.com/question/9527422
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Answer:
34° is the closest to the record high in degree Fahrenheit ⇒ C
Step-by-step explanation:
∵ The formula F = 
C + 32 is used to convert the temperature from
degrees Celsius (C) to degree Fahrenheit (F)
∵ The high temperature in Chicago is 1° Celsius
→ Substitute C in the formula above by 1
∴ F = (1) + 32
∴ F = + 32
∴ F = 33.8°
→ Round it to the nearest degree Fahrenheit
∴ F ≅ 34°
∴ 34° is the closest to the record high in degree Fahrenheit
Answer:
₹165.79
Step-by-step explanation:
Given:-
No. of electric bulbs = 1000
cost of each electric bulb = ₹ 150
No. of bulbs broken = 50
Selling price of each bulb = x
Profit percentage = 5%
To Find:-
The selling price of each bulb.
Solution:-
Cost price of 1000 electric bulbs,
= 1000 × ₹150
= ₹1,50,000
5% profit on the total cost price,
= {5}/{100}× ₹150000
= ₹7500
Total selling price = ₹157500
No. of bulbs remaining = 950
Therefore, selling price of each bulb,
= {₹157500}/{950}
= ₹165.79
Therefore,
Selling price of each bulb = ₹165.79
True
merry Christmas and a happy new year :)
