B. 4(2a + 5)
C. 4(4a + 16)
D. 4(4a + 5)
The expression 8a + 20 is equivalent to the expression 4(2a + 5). Then the correct option is B.
The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 8a + 20
Factorize the terms of the expression, then we have
⇒ 4 × 2a + 4 × 5
Take 4 common from both terms, then we have
⇒ 4 × 2a + 4 × 5
⇒ 4 (2a + 5)
The expression 8a + 20 is equivalent to the expression 4(2a + 5). Then the correct option is B.
More about the equivalent link is given below.
#SPJ3
Tom is closer to the roller coaster since the distance to the roller coaster (approximately 7.07 units) is smaller than the distance to the water ride (approximately 7.28 units).
To determine whether Tom is closer to the roller coaster or the water ride, we can use the distance formula from the coordinate system. The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Let's calculate the distances from Tom's position (2, 3) to the roller coaster (7, 8) and the water ride (9, 1):
Distance to the roller coaster = √[(7 - 2)² + (8 - 3)²] = √[5² + 5²] = √(25 + 25) = √50 ≈ 7.07
Distance to the water ride = √[(9 - 2)² + (1 - 3)²] = √[7² + (-2)²] = √(49 + 4) = √53 ≈ 7.28
Tom is closer to the roller coaster since the distance to the roller coaster (approximately 7.07 units) is smaller than the distance to the water ride (approximately 7.28 units).
To know more about distance:
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Answer:
Water Slide
Step-by-step explanation: