Answer:
To determine whether AB and CD are parallel, perpendicular, or neither, we need to analyze their slopes.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Let's calculate the slopes of AB and CD:
AB:
Point A (8, 4)
Point B (4, 3)
slope of AB = (3 - 4) / (4 - 8) = -1 / -4 = 1/4
CD:
Point C (4, -9)
Point D (2, -1)
slope of CD = (-1 - (-9)) / (2 - 4) = 8 / -2 = -4
Now, let's analyze the slopes:
1. If the slopes of AB and CD are equal, then the lines are parallel.
In this case, the slope of AB is 1/4 and the slope of CD is -4. Since the slopes are different, AB and CD are not parallel.
2. If the product of the slopes is -1, then the lines are perpendicular.
In this case, the product of the slopes of AB and CD is (1/4) * (-4) = -1. Since the product is -1, AB and CD are perpendicular.
Therefore, AB and CD are perpendicular to each other.
In summary, AB and CD are perpendicular lines.
Step-by-step explanation:
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Part 2: Using complete sentences, explain how plotting specific points helps graph the function and note any critical points such as its intercepts.
1.Before lunch, the family traveled at a speed of 45 mph.
2.The family drove 45 miles after they stopped for lunch.
3.The family drove 45 miles before they stopped for lunch.
4.After lunch, the family traveled at a speed of 45 mph.
After lunch, the family traveled at a speed of 45 mph.
Answer:
56 as a decimal is 56.0 :)
Step-by-step explanation:
A whole number is a number whose fraction part is zero. To convert a whole number into a decimal, you must decide the result to a certain number of places after the decimal point and simply add a decimal and the number of zeros required to the right side of the whole number.
Answer:
41/100 is 41/100 because it is in lowest term and it can't be expressed in lower term than 41/100