M=1-5/2-3=-4/-1=4
M=4
(3,5)
5=2(3)+b
5=6+b
b=-1
Answer:
Step-by-step explanation:
x=unknown number
simplify the fraction so... -7/2
The algebraic expression for the overtime hours after 6 hours is (6 + y) 30.
<h3>
Algebraic expression</h3>
This is a system for computating mathematical expression using letters or other symbols to represent numbers, with rules for manipulating these symbols.
- Hourly wage for 6 hours = $20 per hour
- Overtime wage after 6 hours = $30 per hour
- Total hours worked = x
x = (Hourly wage for 6 hours × $20 per hour) + (Overtime wage after 6 + y hours × $30 per hour
x = (6 × 20) + (6 + y) 30
x = 120 + 180 + 30y
x = 300 + 30y
The expression for the overtime hours is (6 + y) 30.
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Answer:140 meters
Step-by-step explanation:1km=100m, 1.4km times 100=140
The equation of the circle is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16
<h3>Equation of a circle </h3>
From the question, we are to determine the equation of the circle
The equation of circle is given by
(x - h)² + (y - k)² = r²
Where (h, k) is the center
and r is the radius
From the given information,
The two circles are concentric
∴ (h , k) = (4, 6)
But the other circle has a radius that is twice as large
∴ r = 2 × 2
r = 4
Thus,
The equation of the circle becomes
(x - 4)² + (y - 6)² = 4²
(x - 4)² + (y - 6)² = 16
Hence, the equation which represents a circle that is concentric with the circle shown but has a radius that is twice as large is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16
Learn more on Equation of a circle here: brainly.com/question/1506955
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