Answer:
Rate of change is most commonly defined as "the change in y over the change in x", or "how much does y change when x is changed by 1 unit".
Step-by-step explanation:
Answer:
y = (x + )² -
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = x² + 3x + 1
add/ subtract ( half the coefficient of the x- term )² to x² + 3x
y = x² + 2( )x + - + 1
= (x + )² -
45°
36°
30°
the answer is
d=30 degrees
Answer:k=37.5 ; xy=37.5
Step-by-step explanation:
b) 31.42 meters
c) 10.47 meters
d) 2.09 meters
The length of the arc captured by a central angle of 120 degrees in a circle with a radius of 5 meters is approximately 10.47 meters. Hence, the correct answer is an option (c) 10.47 meters.
Arc is the measure of the angle on the circumference of a circle.
Length of an Arc = θ × (π/180) × r
Here,
The length of an arc of a circle with radius r and central angle θ (in radians) is given by the formula:
Length of arc = r × θ
To use this formula, we need to convert the given central angle of 120 degrees to radians:
θ = (120/180) × π = 2/3 × π
Now, we can substitute the given values into the formula to get the length of the arc:
Length of arc = 5 × (2/3 × π) = (10/3) × π ≈ 10.47 meters
Therefore, the length of the arc captured by a central angle of 120 degrees in a circle with a radius of 5 meters is approximately 10.47 meters. Hence, the correct answer is an option (c) 10.47 meters.
Learn more about arcs here:
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