Answer:
Step-by-step explanation:
Consider a quadratic equation given by
.... (1)
The quadratic formula then is
The quadratic equation provided is
This can be expressed as
.... (2)
By comparing (1) and (2), we derive:
Plug these values into the quadratic formula.
Factoring out common elements.
The two solutions are
and 
We recognize that
Thus,
Consequently, root is positive while is negative.
8mm correlates to 2cm just as 8mm aligns with 20mm
The ratio of 8: 20 simplifies down to 2: 5
3.25cm ÷ 5 equals 0.65cm
Multiplying 0.65 by 2 results in 1.3cm
Your answer amounts to 1.3cm
Answer:
5 miles in total
Step-by-step explanation:
Given:
Time spent driving = 10 min = 10 / 60 = 1/6 hour
Duration of stop = 5 min
Driving speed = 30 miles per hour
Find:
Complete distance
Computation:
Distance traveled = Speed × time
Distance = 30 × (1/6)
Total distance = 5 miles
Part 1) The radius of the circle is r=17 units. Part 2) The points (-15,14) and (-15,-16) are situated on this circle. Step-by-step explanation: Step 1 Find the radius of the circle. We know that the distance from the center of the circle to any point on its circumference equals the radius of the circle. The formula to determine the distance between two points is equal to......we have (-7, -1) and (8, 7) substitute... Step 2 Determine the y-coordinate of point (-15,y). The standard form of the circle's equation is given by... where (h,k) represents the center, and r is the radius. Replace the values, substituting x=-15 in the equation... square root both sides... ultimately, we find two solutions: point (-15,14) and point (-15,-16) refer to the attached figure for a clearer understanding of the problem.
