Answer:
a) 3x + y = -5 & b) y = 1/3 ( 21- 9x )
Step-by-step explanation:
a)
3x + y = -5
y = -3x -5
b)
y = 1/3 ( 21 - 9x)
y = -3x + 7
y = 3x + 2.5
the slop is to be same in the parallel lines. slop means m in ( y = mx + c )
so a) & b) are parallel lines. since their m is -3 .
Answer: 110
The 3 figures showed the same pattern by multiplying 2 consecutive whole numbers starting from one. Multiplying 1 by 2 gets 2, 2 by 3 gets 6, 3by 4 results to 12 and so on. If this pattern continues, then 4 will be multiplied by 5, 5 by 6, 6 by 7, 7 by 8, 8 by 9, 9 by 10, and lastly the 10th figure 10 by 11 which is equal to 110.
Answer: 6
Step-by-step explanation:
From the prime factorization of 54 you get:
54 = 2×3×3×3
So ,
You can write it as,
54 = 2×3^2×3,
Make sure all of the factors are in square form, so we add a another 2 and a three to the factors to make them all in square form
You get
=2×3^2×3×2×3 (the last 2×3 is added because one 2 and 3 were not having another pair so they were added to make them squares)
So k is basically 2×3 which is 6
And 54×6 gives us 324, which is a perfect square.
<span>3(7 + 4)2 − 14 ÷ 7
First do the parenthesis
7 + 4 = 11
so the question looks like: 3(11)2 - 14/7
Then multiply 3, 11, and 2 together
3 x 11 x 2 = 66
66 - 14/7
14/7 equals to 2
66 - 2
Then just simplify
66 - 2 = 64
64 is your answer
hope this helps</span>