The values of a, b, and c needed to write given quadratic equation in its general form: a = 1/4 , b = 0 and c = 5
"It is a mathematical statement which consists of equal symbol between two mathematical statements."
"A polynomial equation of degree 2 is a quadratic equation."
For given question,
We have been given a quadratic equation 1/4x² + 5 = 0
We know that the general for of quadratic equation is ax² + bx + c = 0
where a, b, c are real numbers with a ≠ 0.
We need to write given quadratic equation in the standard form and find the corresponding value for a, b, and c.
Comparing given quadratic equation with the general form of quadratic equation we have,
a = 1/4 , b = 0 and c = 5
Therefore, the values of a, b, and c needed to write given quadratic equation in its general form: a = 1/4 , b = 0 and c = 5
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Answer:
Given speed of train = 108 km/hour ⇒ Speed of train = 108 × 5/18 = 30 m/sec Since, we know that Distance = Speed × time ⇒ Distance = 30 × 32 = 960 m ∴ Length of train is 960 m
Step-by-step explanation:
The length of the train is calculated by using the formula 'distance = speed * time'. After converting the speed from km/h to m/s, we find that the length of the train is 960 meters.
To answer your question, we'll need to use the concept of speed in physics. Speed is essentially distance covered per unit of time. Since we are given that the train is running at a speed of 108 km/h and it crosses a pole in 32 seconds, we can use these metrics to find the length of the train, as the train length is the distance covered when the train crosses the pole.
First, we need to convert the speed from km/h to m/s, as we need the answer in a standard form. 1 km = 1000 m, and 1 hour = 3600 seconds. So, 108 km/h = 108 * 1000 m/3600 s = 30 m/s.
Next, we use the formula 'speed = distance/time'. Here, we need to find the distance (or the length of the train), so we rearrange that formula to get 'distance = speed * time'. That means, the length of the train = speed of the train * time taken to cross the pole = 30 m/s * 32 s = 960 m.
So, the length of the train is 960 meters.
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Point C's reflection across the x-axis yields coordinates (5, -7). The x-coordinate remains unchanged, while the y-coordinate changes sign, showcasing a fundamental concept in coordinate geometry.
This reflection can be understood as a transformation in which each point on the original figure is flipped over the x-axis to its corresponding point on the reflected figure.
The x-coordinate remains the same because it measures the horizontal distance from the y-axis, which does not change during a reflection across the x-axis. However, the y-coordinate changes sign, as it represents the vertical distance above or below the x-axis.
In summary, to find the coordinates of the reflected point, we change the sign of the y-coordinate of the original point while keeping the x-coordinate unchanged. Thus, the reflected coordinates of point C across the x-axis are (5, -7).
Commutative Property of Addition
Associative Property of Addition
Identity Property of Addition
Answer:
Commutative property of addition is the correct option.
Answer:
the answer commutative my friend