Answer:
Option B
Option C
Option D
All of these are correct
Step-by-step explanation:
Option B is correct because:
2x + 1 + 2x + 3 = 4x + 4
=> 4x + 4 = 4x + 4
Option C is correct because:
x + 3x + 4 = 4x + 4
=> 4x + 4 = 4x + 4
Option D is correct because:
2(2x + 2) = 4x + 4
=> 4x + 4 = 4x + 4
Option A is incorrect because:
4(x + 4) = 4x + 4
=> 4x + 16 ≠ 4x + 4
Answer:
The lowest point is -100 meters, or 100 meters down
Step-by-step explanation:
D(x)=1/36(x-60)^2-100
This equation is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex
Since a is positive, the parabola opens up
The vertex is the minimum, which means it will be the lowest point
The vertex is (60,-100)
The lowest point is -100 meters, or 100 meters down
Answer:
198
Step-by-step explanation:
Using Pythagorean theorem, the student walked 53.58 meters more compared to the total displacement from the starting point.
If a student walks 100 meters north, then 100 meters west, then the path he travels resembles the sides of a right triangle (see attached photo).
Using Pythagorean theorem, we can solve for the total displacement from the starting point to the end point.
c^2 = a^2 + b^2
where c is the total displacement from the starting point to the end point
a is the distance he walks up north
b is the distance he walks to the west
c^2 = 100^2 + 100^2
c^2 = 10,000 + 10,000
c^2 = 20,000
c = 141.42 meters
Comparing the total distance the student walked and the total displacement from the starting point to the end point by subtraction.
100 meters + 100 meters - 141.42 meters = 53.58 meters
Learn more about Pythagorean Theorem here: brainly.com/question/343682
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