Answer:
x = 7
T(7, 3)
Step-by-step explanation:
The slope of the line is the same everywhere, so the ratio of y-differences to x-differences is constant.
Differences between R and S:
S -R = (-1, -1) -(-5, -3) = (-1+5, -1+3) = (4, 2)
T -R = (x, 3) -(-5, -3) = (x+5, 3+3) = (x+5, 6)
Then the ratios of y-differences to x-differences are ...
2/4 = 6/(x+5)
2(x+5) = 4(6) . . . . cross multiply
2x +10 = 24 . . . . . simplify
2x = 14 . . . . . . . . subtract 10
x = 7 . . . . . . . . . . divide by 2
Point T is (7, 3). . . . . . . . (x=7)
<em>Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at examples of equivalent equations, how to solve them for one or more variables, and how you might use this skill outside a classroom. Putting these rules into practice, determine whether these two equations are equivalent: 1. x + 2 = 7 2. 2x + 1 = 11 To solve this, you need to find "x" for each equation. If "x" is the same for both equations, then they are equivalent.</em>
Answer:
.
Step-by-step explanation:
We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.
We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.
Let us use two consecutive numbers of our sequence in above formula.
will be 12 and will be 18 for our given sequence.
Dividing our numerator and denominator by 6 we will get,
Let us use numbers 8 and 16/3 in above formula.
Therefore, we get as common ratio of our given geometric sequence.
There are 12 months, 7/12 have 31 days. You would have a 7/12 probability of choosing one with 31 days if it is random.