Answer:
26units!
Step-by-step explanation:
Answer:
Total displacement = 0 blocks
Step-by-step explanation:
Displacement : It is defined as the total distance between the initial and the final positions of the moving object or a body. The total displacement can be 0 in case the initial and the final positions of the body are same.
The distance traveled by Johnny from his house to his friends house = 4 blocks
Then he immediately returns to his house, so the total distance then covered = 4 blocks
Total distance traveled = 4 + 4
= 8 blocks
But the initial position of Johnny is his house and the final position of Johnny is also his house
Therefore, the initial and the final position of Johnny is same and this can be used as a reference point for the given problem.
⇒ Total displacement = 0 blocks
1. First, let us define the width of the rectangle as w and the length as l.
2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:
l = w + 6
3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:
24 = 2w + 2l
4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:
24 = 2w + 2l
if l = w + 6, then: 24 = 2w + 2(w + 6)
24 = 2w + 2w + 12 (Expand 2(w + 6) )
24 = 4w + 12
12 = 4w (Subtract 12 from each side)
w = 12/4 (Divide each side by 4)
w = 3 in.
5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :
l = w + 6
l = 3 + 6
l = 9 in.
6. Therefor the rectangle has a width of 3 in. and a length of 9 in.
Answer:
4
Step-by-step explanation:
It's easy because 4-4=0 and anything divided by zero is zero.
Answer:
b = -6
Step-by-step explanation:
Apply the exponent rule that
In this case,
Set that equal to :
Apply the exponent rule that so now you get:
Since the base is y for both sides of the equation, just set the exponents equal to each other and solve for b.
4b = -24
divide each side by 4 to get:
b = -6