Step-by-step explanation:
x² + y² − 8x + 10y − 8 = 0
Rearrange:
x² − 8x + y² + 10y = 8
To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.
(-8/2)² = 16
(10/2)² = 25
x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25
x² − 8x + 16 + y² + 10y + 25 = 49
Factor the squares:
(x − 4)² + (y + 5)² = 49
The center is (4, -5) and the radius is 7.
Answer:
-10,10
Step-by-step explanation:
The given quadratic equation is

The discriminant of this equation is given by;

where a=k, b=20, c=k
For rational solutions, the discriminant must be zero.

Simplify to get:

This implies that:


Take square root to get:



You weren't clear on instructions
Number 1 is 0.2 and 0.4
number 2 is 0.53 and 0.56
number 3 is on the 0.3
number 4 is 1/3
number 5 is a little bit before the 0.7 mark
number 6 is 62/100
Answer:
25.6 km/h
Step-by-step explanation:
Omani:
First, 1.5 hours = 1 hour and 30 minutes
and 66 miles = 105.6 km (66 x 1.6 = 105.6)
105.6 / 1.5 = 70.4 km/h
Omani's speed is 70.4 km/h
Adedi:
1 hour and 15 minutes is 1.25 hours
she drives 56 km in 1.25 hours
So 56 / 1.25 = 44.8 km/h
Adedi's speed is 44.8 km/h
Difference:
70.4 - 44.8 = 25.6 km/h
Omani is faster than Adedi with 25.6 km/h