The result concluded is equivalent to a single rotation transformation of the original object.
<h3>Explanation of how reflection across axis works?</h3>
When a graph is reflected along an axis, say x-axis, then that leads the graph to go just on the opposite side of the axis as if we're seeing it in a mirror.
The Compositions of Reflections Over Intersecting Lines states that if we perform a composition of two reflections over two lines that intersect.
The result concluded is equivalent to a single rotation transformation of the original object.
Learn more about reflection;
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You need to first make denominator in the fractions you have equal, then simply subtract numenators.
example:
2/3 - 1/2
first step is to make denominators equal.
for this example, the denominator will be equal to 6 which is 2x3
so, 2/3 = 4/6 and 1/2 = 3/6
so, the expression now becomes:
4/6 - 3/6
simply subtract numenators and the denominator will be 6 as well.
4/6 - 3/6 = 1/6
another example:
3/4 - 1/2
here the denominator can be equal to 4 in all terms
1/2 = 2/4
so, the new expression is now:
3/4 - 2/4 = 1/4
Answer:
15;9;-8
Step-by-step explanation:
1. 5/3x-3=2/3x+12
x=15 once you combine like terms
2. 5x+35-3x+12=7x+2
2x+47=7x+2
5x=45
x=9
3. 12x+20-3=9x-7
12x+17=9x-7
3x=-24
x=-8
Answer:
<u>36 tables are used to seat the students at the banquet: 12 rectangular and 24 round.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Round tables = 8 seats
Rectangular tables = 12 seats
Ratio of round tables to rectangular tables = 2:1
Number of students = 336
2. How many tables are used to seat 336 students at the banquet, if no table has an empty seat?
x = Number of rectangular tables
2x = Number of round tables
Let's solve for x, using this equation:
12x + 8 (2x) = 336
12x + 16x = 336
28x = 336
x = 336/28
x = 12 ⇒ 2x = 24
12 + 24 = 36
<u>36 tables are used to seat the students at the banquet: 12 rectangular and 24 round.</u>
True:
1) F(x) is read as "F of x".
3) F is the graph at a particular value of x.
5) y is equal to F(x).
1) F(x) is read as "F of x", then first is true.
2) F(x) is the vertical distance on the graph, then second is false.
3) F is the grap at a particular value of x, then third is true.
4) F(x) can be any real number, then fourth is false.
5) y is equal to F(x), then fifth is true.
