Answer:
Step-by-step explanation:
<u>Use the slope-intercept form, which will be in this case:</u>
- g(u) = mu + b, where m is the slope, b is the y- intercept
<u>Find the slope:</u>
<u>Find the value of the y-intercept:</u>
<u>The equation is:</u>
(3,0)(0,4)
slope = (4 - 0) / (0 - 3) = -4/3
A perpendicular line will have a negative reciprocal slope. So our perpendicular line has a slope of 3/4
y = mx + b
slope(m) = 3/4
(-6,-5)....x = -6 and y = -5
now sub into the formula and find b, the y int
-5 = 3/4(-6) + b
-5 = -18/4 + b
-5 + 18/4 = b
-20/4 + 18/4 = b
-2/4 = b
so ur perpendicular line is : y = 3/4x - 2/4....or 3x - 4y = 2
and ur point (6,4) lies on the perpendicular line <===
Answer:
The answer is below
Step-by-step explanation:
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.
Answer:
Part A:
Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet at a rate of 7.5 ft/s
Part B:
Between 2 and 4 seconds, the height stays constant at 75 feet.
Part C:
Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s
Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s
Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s
Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.
Part D:
From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.
There is an error in clever.
<h3>What is the history of Angkor?</h3>
A dynasty of Khmer monarchs oversaw one of the biggest, wealthiest, and most advanced kingdoms in Southeast Asia's history from the city of Angkor, which served as the country's capital. The kings of Angkor ruled over a region that stretched from the tip of the Indochinese Peninsula northward to modern-day Yunnan province, China, and from Vietnam westward toward the Bay of Bengal from the last decade of the 9th century, when King Yashovarman I made Angkor his home, until the early years of the 13th century. These kings built a number of enormous structures throughout this time period to exalt themselves, their gods, and their capital city. They did this by using the enormous labour and financial resources at their disposal.
To learn more about Angkor, Visit:
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Answer:
45
Step-by-step explanation:
