Step-by-step explanation:
Find the Center and Radius (x-4)^2+y^2=4
(
x
−
4
)
2
+
y
2
=
4
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
2
h
=
4
k
=
0
The center of the circle is found at
(
h
,
k
)
.
Center:
(
4
Root 25 is the rational number as it equals 5
Answer: answer C is correct
Step-by-step explanation:
Answer:
7:24 pm
Time taken will be longer
Step-by-step explanation:
Given that:
Distance between Manchester and London = 195 miles
Departure time = 3.30 pm
Average speed of Coach = 50 mph
Arrival time in London :
Time taken = distance / speed
Time taken = 195 / 50 = 3.9 hours (3 hours (0.9 * 60) = 3 hours 54 minutes
= 3:30 pm + 3 hours 54 minutes = 7:24 pm
If the speed is Lower then the Timetaken will be longer and subsequently coach will arrive after 7:24 pm
Answer:
1. 3sqrt(2)
Choice C
2. 2sqrt(3)
Choice D
Step-by-step explanation:
1. sqrt(x+3)
sqrt(15+3)
sqrt(18)
sqrt(9*2)
sqrt(9)sqrt(2)
3sqrt(2)
Choice C
2. 6/sqrt(x)
6/sqrt(3)
no radicals in the denominator, multiply by 1 in the form of the radical
6/sqrt(3) * sqrt(3)/sqrt(3)
6sqrt(3)/ (sqrt(3)*sqrt(3))
6sqrt(3)/3
2sqrt(3)
Choice D
