Answer:
The point-slope equation of the line is y - 2 = 3(x + 9)
Step-by-step explanation:
The form of the point-slope equation is y - y1 = m(x - x1), where
- m is the slope of the line
- (x1, y1) is a point on the line
∵ The slope of a line is 3
∴ m = 3
∵ The line passes through point (-9, 2)
∵ x1 = -9
∴ y1 = 2
→ Substitute the values of m, x1, and y1 in the point-slope form
∵ y - y1 = m(x - x1)
∴ y - 2 = 3(x - (-9))
→ Remember (-)(-) = (+)
∴ y - 2 = 3(x + 9)
∴ The point-slope equation of the line is y - 2 = 3(x + 9)
Answer:
The original price of her purchase was $65.
Step-by-step explanation:
From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:
$13 → 20%
x ← 100%
x=(13*100)/20
x=1300/20
x=65
According to this, the answer is that the original price of her purchase was $65.
Answer:
2.5 hours
Step-by-step explanation:
Given that :
Temperature in Neil's city :
72.6° and rising by 1.3° per hour
Temperature in Sheppard's city :
80.4° and dropping by 1.82° per hour
In how many hours will the temperature in Neil's city be no less than the temperature in Sheppard's city
Let number of hours = h
Hence, Neil city :
72.6 + 1.3h
Sheppard city:
80.4 - 1.82h
72.6 + 1.3h ≥ 80.4 - 1.82h
1.3h + 1.82h ≥ 80.4 - 72.6
3.12h ≥ 7.8
h ≥ 2.5
Two and half hours (2 hours 30 minutes)
Step-by-step explanation:
= -√1
= -1
= √1
= 1
Difference -√1 and √1 are the sign of the number, where -√1 is negative and √1 is positive
