To work out who the unknowns in the room are, we can establish that c = p+ 9
c + p = 25. The unknowns in the room are there the total number of
parents in the room, and the total number of teachers in the room.
If it takes one person 4 hours to paint a room and another person 12 hours to
paint the same room, working together they could paint the room even quicker, it
turns out they would paint the room in 3 hours together. This can be reasoned by
the following logic, if the first person paints the room in 4 hours, she paints 14 of
the room each hour. If the second person takes 12 hours to paint the room, he
paints 1 of the room each hour. So together, each hour they paint 1 + 1 of the 12 4 12
room. Using a common denominator of 12 gives: 3 + 1 = 4 = 1. This means 12 12 12 3
each hour, working together they complete 13 of the room. If 13 is completed each hour, it follows that it will take 3 hours to complete the entire room.
This pattern is used to solve teamwork problems. If the first person does a job in A, a second person does a job in B, and together they can do a job in T (total). We can use the team work equation.
Teamwork Equation: A1 + B1 = T1
Often these problems will involve fractions. Rather than thinking of the first frac-
tion as A1 , it may be better to think of it as the reciprocal of A’s time.
World View Note: When the Egyptians, who were the first to work with frac- tions, wrote fractions, they were all unit fractions (numerator of one). They only used these type of fractions for about 2000 years! Some believe that this cumber- some style of using fractions was used for so long out of tradition, others believe the Egyptians had a way of thinking about and working with fractions that has been completely lost in history.
The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.
From the graph:
The two points are (-4, -2) and (4, 5)
The line equation passing through two points:
[y - 5] = (5+2)/(4+4)[x - 4]
y - 5 = 7/8[x - 4]
8y - 40 = 7x - 28
8y = 7x + 12
Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
Learn more about the geometric transformation here:
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Answer : 11^9
Explanation: when you’re dividing powers, you substract them, so in this case it is 6-2 and you’ll get 11^4. Then you need to multiply, when you’re multiplying you are adding powers. In this case you add 4 and 5 and get 11^9
Answer:
1.
Planning a wedding
.
2.
A huddle in and practice before a football game.
3.
The passing of a Constitutional Amendment.
