Answer:
(3, 1.7)
Step-by-step explanation:
The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.
Two lines are perpendicular if the product of their slopes is -1.
The slope of the line joining D(0,0), F(3,7) is:
The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:
The slope of the line joining E(7,0), and F(3,7). is:
The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:
The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:
x = 3, y = 1.7
The expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week
<h3>Dimensional Analysis</h3>
From the given question, we are told that Katrina drinks 0.5 gallons per day. In order to determine the total cup that she drank in a a week, we will have:
Total gallons in a week. = 0.5gallons/1 day * 7days/1
Total gallons in a week = 3.5 gallons
Since 1 gallon. = 16 cups, then;
3.5 gallons = 16cups/1gallon * 3.5gallons
3.5 gallons = 56 cups
Hence the expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week
Learn more on dimensional analysis here: brainly.com/question/18559676
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Answer:
Step-by-step explanation:
d = 2
arc length of semicircle = ½×circumference = ½×πd = π
perimeter of semicircle = π + d = π+2
Answer:
0.82 m/s^2
Step-by-step explanation:
Given data
initial velocity=20m/s
Final velocity= 30m/s
Time = 12.2s
Applying the formula
a= v-u/t
a= 30-20/12.2
a= 10/12.2
a= 0.819
a=0.82 m/s^2
Maybe because you're finding the "difference" between the two numbers. We could also question why the answer to an addition problem is called sum.
Well, 'sum'body said that's what they should be called a long time ago, that's why we're using that term to call them now.
