64=2^6, 72=2^3*3^2
gcd (64,72)=8
Therefore 64/8 =8
72/8=9
gcd (8,9) =1
8,9 are relatively prime.
Thus, 64/72=8/9
Answer:
Step-by-step explanation:
yes....the pair of linear equations has unique solution.....
2x + 3y - 7 = 0 ...... (i)
3x + 2y + 10 = 0 ....... (ii)
on comparing the equation i nd ii with a1x + b1y + c1 = 0
nd a2x + b2y + c2 = 0 reslectively......
a1 = 2 ; b1 = 3 ; c1 = -7
a2 = 3 ; b2 = 2 ; c2 = 10
here....its clear that......
a1 / a2 is not equal to b1 / b2
Therefore the given pair of linear equation have a unique solution........
A9x) = x^2 - 6x + 9 = (x - 3)^2
length of a side = x - 3
Answer:
300 girls were there in the gym.
Step-by-step explanation:
Given:
The ratio of the number of boys to the number of girls was 4:3, after 160 boys left the gym, the ratio became 4:5.
Now, to find the number of girls in the gym.
The girls in the gym does not left, their quantity is same before and after.
So, we multiply the both ratios to make the girls ratio same:
4:3 × 5 = 20:15
4:5 × 3 = 12:15
Now, <em>we find the units of the ratio</em>.
<em>The ratio of boys dropped down by 160</em>:
20 - 12 = 8 units.
160 = 8 units
Now, dividing both sides by 8 we get:
20 = 1 unit
So, 1 unit = 20.
Now, girls = 15 units
So, 15 × 20 = 300.
Therefore, 300 girls were there in the gym.
Y=1/9(-1)+4
Explanation:
X=-1 and y=8
