Answer:
-12a + 4b - 8c + 18
Step-by-step explanation:
To do this, you will need to use the Distributive Property. Multiply the number outside of the parenthesis by the terms inside of the parenthesis.
-2(6a - 2b + 4c - 9) becomes:
-12a + 4b - 8c + 18
Length of side of new square is 17 inches
Step-by-step explanation:
- Step 1: Let the length of the side of the old square be x. Then length of side of new square = x + 3 and Perimeter of new square = 40 + 2x
Perimeter of a square = 4 × side
⇒ 4(x + 3) = 40 + 2x
⇒ 4x + 12 = 40 + 2x
⇒ 2x = 28
⇒ x = 14 inches
- Step 2: Find length of side of the new square
⇒ x + 3 = 17 inches
Ok, so you automatically know that you are subtracting 6 from 10 to get 4. So, in order to figure out how it is 1/3 of that number, it is going to be multiplied by 3, getting 18. So, the number would be 18.
Answer:
B. Commutative Property of Multiplication
Step-by-step explanation:
Y = 2x + 5
If you take the height at 10 days, 25 centimeters, after 10 more days the height is 45 centimeters, meaning for those 10 extra days the been plant grown 20 centimeters. Since we're told the plant is growing at a constant rate, this shows the bean plant is growing 2 centimeters per day. We can represent this with y = 2x. (After 10 days, the bean plant will be 20 centimeters, after 20 days, the bean plant will be 40 centimeters, etc.)
However, this is not completely true yet. As you can see, after the first 10 days the plant is not 20 centimeter, it's 25 centimeters. We already know the rate in which the plant is changing, but now we need to find the height that the plant was originally, before it started growing.
After the first 10 days, the plant is 25 centimeters tall. Since we know that the plant is growing 2 centimeters per day, we can subtract 20 from 25 to find the original height of the bean plant.
25 - 20 = 5
The bean plant was originally 5 centimeters.
This makes our final equation y = 2x + 5.
2x is the slope, and 5 is the y intercept.
Hope this helps1!
