Answer:
<u>(7,a) Where a ∈ R - {7}</u>
<u>OR</u>
<u>(-2,a) where a ∈ R - {-2}</u>
Step-by-step explanation:
The coordinates of the given line from the right to the left are:
(7,1) and (-2,1)
So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)
So, the third vertex must be on the line x=7 or x=-2
So, the coordinates of the third vertex is:
<u>(7,a) Where a ∈ R - {7}</u>
<u>OR</u>
<u>(-2,a) where a ∈ R - {-2}</u>
The best way to find it is to reduce each ratio you work with to its
lowest terms,and see which ones are equal. To reduce a ratio to its
lowest terms, divide each number by their greatest common factor.
First, the one that you're trying to match: <u>49:35</u> .
The greatest common factor of 49 and 35 is 7 .
Divide each number by 7 . . . <em>7:5</em> . . . <u>that's</u> what you have to match.
<u>7:4</u>
Their greatest common factor is ' 1 '.
No help at all, and this one is not it.
<u>14:25</u>
Again, their greatest common factor is '1 '.
No help at all, and this one is not it.
<u>21:15</u>
Their greatest common factor is ' 3 '.
Divide both numbers by 3 . . . <em>7:5 </em>.
That's it !
3 * 1 * -1 because 3 times one is 3 and that times a negative turns it into a negative. ( positive * negative = negative)
Answer:
Step-by-step explanation:
5 + x - 12 = x- 7 (Add the 5 and -12 to simplify)
x - 7 = x - 7 (notice its the same on both sides of equal sign. Add 7 to both sides)
x = x
solution is all real numbers
Part B
5 - 4 - 12 = -4 - 7
-11 = -11
5 + 0 - 12 = 0 - 7
-7 = -7
5 + 5 - 12 = 5 - 7
-2 = -2
7).Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while circles that do not overlap do not share those traits. Venn diagrams help to visually represent the similarities and differences between two concepts.
8).In set theory, the union of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other. A nullary union refers to a union of zero sets and it is by definition equal to the empty set.
9).The intersection of two or more given sets is the set of elements that are common to each of the given sets. The intersection of sets is denoted by the symbol '∩'. In the case of independent events, we generally use the multiplication rule, P(A ∩ B) = P( A )P( B ).
10).Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set. ... Sets are usually represented using a roster form or a set builder form.
Step-by-step explanation:
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