Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1
Step-by-step explanation:
Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.
From 0 move to left two 1/3, them move to right four 1/3. The answer is 2/3
See the image
Let's solve your inequality step-by-step.
−12x−0.4>0.2(36.5x+80)−55
Step 1: Simplify both sides of the inequality.
−12x−0.4>7.3x−39
Step 2: Subtract 7.3x from both sides.
−12x−0.4−7.3x>7.3x−39−7.3x
−19.3x−0.4>−39
Step 3: Add 0.4 to both sides.
−19.3x−0.4+0.4>−39+0.4
−19.3x>−38.6
Step 4: Divide both sides by -19.3.
−19.3x
−19.3
>
−38.6
−19.3
x<2
Answer:
x<2
By direct division, we will find that the length of each piece of rope is 10.5m
<h3>
How to perform the division?</h3>
So e start with a 42 meter long rope and we cut it into 4 equal parts, then we know that each one of these pieces will have a length equal to:
L = (42m/4)
To perform that division, you can see that 42<u> is not a multiple of 4</u>, so we can write:
L = (40m + 2m)/4 = (40m/4) + (2m/4)
The first quotient is just equal to 10m, while the second one is:
(2m/4) = (1m/2) = 0.5m
Then we have:
L = (40m/4) + (2m/4) = 10m + 0.5m = 10.5m
Each piece of rope has a length of 10.5m
If you want to learn more about divisions, you can read:
brainly.com/question/7068223