Answer:
2 x (3 y^3 + 2)
Step-by-step explanation:
Simplify the following:
2 x + x + x + 2×3 y y x y
2 y×3 y = 2 y^2×3:
2 x + x + x + 2×3 y^2 x y
2×3 = 6:
2 x + x + x + 6 y^2 x y
6 y^2 x y = 6 y^(2 + 1) x:
2 x + x + x + 6 y^(2 + 1) x
2 + 1 = 3:
2 x + x + x + 6 y^3 x
Grouping like terms, 2 x + x + x + 6 y^3 x = 6 x y^3 + (2 x + x + x):
6 x y^3 + (2 x + x + x)
2 x + x + x = 4 x:
6 x y^3 + 4 x
Factor 2 x out of 6 x y^3 + 4 x:
Answer: 2 x (3 y^3 + 2)
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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This is in the lower right corner and is a right triangle. So we use the Area calculation of a right triangle.
<u>ab</u> = <u>(4)(2)</u> The height is given as 4 in and we know the base is 2 in
2 2 We know this because the top right distance is given as 2
8 / 2 = 4 square inches
Answer:
Inequality Form:
h
>
6
Interval Notation:
(
6
,
∞
)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
8m/s.
Step-by-step explanation:
This question really depends on the answer because the units matter. Is it miles per second? Kilometers per second? We'll just assume it's meters per second so this question could be answered the easiest.
Meters/seconds=800meters/200seconds=(simplified) 8m/s