Step-by-step explanation:
the lowest common denominator (LCD) is the lowest common multiple (LCM) of the denominator numbers (the ones at the bottom of the fractions).
finding the LCM of 9 and 12 using the prime factor method :
9 = 3×3
12 = 2×2×3
the LCM is the combination of the longest chains per prime factor. which means we have 2×2 and 3×3 as longest chains for 2 and 3.
LCD = LCM = 2×2×3×3 = 36
2/9 turns into x/36 by multiplying by 4/4 :
2/9 × 4/4 = 8/36
5/12 turns into x/36 by multiplying by 3/3 :
5/12 × 3/3 = 15/36
so, the third answer option is correct.
Answer:
Perimeter =28 units.
Area = 45 unit^2.
Step-by-step explanation:
The length of first side (joining first 2 points) = 5 - (-4) = 9 (as y coordinates are both -5)
The line joining the 2nd and third points = 0 - (-5) = 5
The line joining the 3rd and 4th points = 5 - (-4) = 9.
The line joining the first and 4th points = 0 - (-5) = 5
So the perimeter = 2(5) + 2(9)
= 28 units.
Area = 5*9 = 45 unit^2.
Answer:
x = -2 and y = 0
Explanation:
You just put the value of one variable in terms of the other in one of the two equations. Then, solve it and BOOM you'll have your solution.
x + y = -2 ........... (a)
y = x + 2 ............ (b)
Put (b) in (a),
x + (x + 2) = -2
2x = -4 => x = -2
Put x = -2 in (b),
y = x + 2 = -2+2 = 0
Thus, x=-2 and y=0
