Answer:
( x+2)^2 + (y+5)^2 = 1
Step-by-step explanation:
The equation of a circle can be written in the form
( x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
( x- -2)^2 + (y- -5)^2 = 1^2
( x+2)^2 + (y+5)^2 = 1
Answer:
Donna traveled for 8 hours at 90 mph
Maple traveled for 4 hours at 50 mph
Step-by-step explanation:
The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written

Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.
Answer: the number of yards that art bought is 20 3/20 yards
Step-by-step explanation:
Art bought 7 1/4 yd and 12 9/10 yd for two car projects. We would convert both measurements from mixed fraction to improper fraction before adding.
Converting 7 1/4 yd to improper fraction, it becomes 29/4
Converting 12 9/10 yd to improper fraction, it becomes 129/10 yd
Adding both measurements, it becomes
29/4 + 129/10 = (145 + 258)/20 = 403/20yds
Converting to mixed fraction, it becomes
20 3/20 yards
Complementary angles = two angles that add to 90° complement each other.
So, angle x = 3y+18
y= complementary angle
(3y + 18) + y = 90
4y+18 = 90
4y=72
y=18°
x= 3y+18
x= 3(18) +18
angle x = 72°