Least common multiple: factor them, then see what they have in common and what is leftover and multiply those expressions:
(x - 2)(x + 3) 10(x + 3)(x + 3)
Common: (x + 3)
Leftover: (x - 2), (10), (x + 3)
Common · Leftover is: (x + 3) · (x - 2) · (10) · (x + 3) = 10(x - 2)(x + 3)²
Answer: LCM is 10(x - 2)(x + 3)²
Step-by-step explanation:
3x + 5y = 21 * (-4) •••••• -12x -20y = -84 (a)
4x - 2y = -24 * (3) •••••• 12x -6y = -72 (b)
(a) + (b)
-26y = -156
y = 6
3x + 5 * 6 = 21
3x = 21 - 30
3x = -9
x = -3
Answer:
see below
Step-by-step explanation:
To find the combined length of Pine and Elm and the lengths together
Pine +Elm
We are estimating by rounding to the nearest whole number
Pine is 2.7 so it rounds to 3 because we look at the .7 and since .7 is greater than .5 it rounds the 2 to 3
Elm is 8.9 so it rounds to 9 because we look at the .9 and since .9 is greater than .5 it rounds the 8 to 9
2.7 + 8.9 rounds to 3+9 = 12
12 is reasonable because the actual answer is 2.7+8.9 = 11.6 which rounds to 12
Answer:
210
Step-by-step explanation:
JQ is 5 times the length of JK
● JQ = 5JK
JK = 42
● JQ = 5 × 42
● JQ = 210
3x + 2y = 3. subtract 3x from both sides, so you get 2y = -3x + 3 . then you divide by 2 to both sides , so you get y = -3/2x + 3/2 .