Answer:
5 meters
Step-by-step explanation:
We should derive an equation to solve this problem.
Let's assign x to width and y to length.
and
so
Width = 5 meters
Answer:
4√2 + 2√10
Step-by-step explanation:
Finding the perimeter here involves finding three point-to-point distances and then adding them up.
From (2, 2) to (6, -2) we have a change in x of 4 and a change in y of -4. We use the Pythagorean Theorem to determine the distance, which is the hypotenuse of a right triangle:
√( [4]² + [-4]² ) = 4√2. This is the length of the side connecting (2, 2) and (6, -2).
From (6, -2) to (5, 1), the distance is √( [-1]² + 3² ), or √10.
From (5, 1) to (2, 2), the distance is √( [-3]² + 1² ), or √10.
The perimeter is the sum of these three distances and is:
4√2 + √10 + √10, or 4√2 + 2√10
Numbers are 5 and 7
Step-by-step explanation:
- Step 1: Let the two consecutive odd integers be x and x + 2. Their sum = 12
x + x + 2 = 12
2x + 2 = 12
2x = 10
x = 5
and x + 2 = 7
Answer:
y = -x/2 + 2
Step-by-step explanation:
Answer:
A lizard is an animal but doesn't have fur.
Step-by-step explanation:
A counterexample would be to give an example of an animal that doesn't have fur. So the premise is met: there is a clear example of what one considers an animal, but the animal doesn't have fur.
For example a lizard is clearly an animal, but it doesn't have fur around its body. One needs to just find one example that negates the given statement to make it false.