Answer:
(x – h)^2 + (y – k)^2 = r^2,
Step-by-step explanation:
(x - 0)^2 + (y +2)^2 = 3^2
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Answer:
10
Step-by-step explanation:
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X= number of hours in run
y = number of hours in bike race
9x+29y=85
x+y=5, and y=5-x
Substituting 5-x for y in the first equation, we have 9x+ 29(5-x)=85 and 9x+145-29x=85, then subtracting 145 from both sides to get -20x=-60 and x=3, which is the amount of hours in the running race. Multiply that by 9 miles per hour to get 27 miles
The GCF is the smallest shared prime factor for each term.
The LCM is the smallest whole number that both numbers share as multiples.
For example, take #16.
Factors of 25: 1 , 5, 25
Factors of 75: 1 , 3, 5, 15, 25 ,75
The GCF that is shared would then be 25.
The smallest multiple that both share as multiples:
Multiples of 25: 25, 50, 75, etc.
Multiples of 75: 75, etc.
The LCM that is shared would then be 75.
16) 25 and 75
GCF: 25
LCM: 75
17) 35 and 5
GCF: 5
LCM: 35
18) 27 and 36
GCF: 9
LCM: 108
19) 21 and 56
GCF: 7
LCM: 168
20) 54 and 72
GCF: 18
LCM: 216
3x - y = 0 ⇒ 2(3x - y = 0 ) ⇒ 6x - 2y = 0
5x + 2y = 22 ⇒ 1(5x + 2y = 22) ⇒ <u>5x + 2y</u> = <u>22 </u>
11x = 22
x = 2
3x - y = 0 ⇒ 3(2) - y = 0 ⇒ 6 - y = 0 ⇒ 6 = y
Answer: x=2, y=6
