Refer to the figure shown below.
From a to b, we skip 1 letter.
From b to d, we skip 2 letters.
From d to g, we skip 3 letters.
Inductively, we should skip 4 letters to arrive at the next letter, which is k.
Answer: k
Answer:
(3.8, 6.8)
Step-by-step explanation:
Point B:
Has coordinates (x,y)
AB and BC form a 2:3 ratio.
This means that:


We apply this both for the x-coordinate and for the y-coordinate.
x-coordinate:
x-coordinate of A: 3
x-coordinate of C: 5
x-coordinate of B: x




y-coordinate:
y-coordinate of A: 4
y-coordinate of C: 11
y-coordinate of B: y




Thus the correct answer is:
(3.8, 6.8)
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer:
9:6, 12:8, and 15:10 are all ratios equivalent to 3:2
Step-by-step explanation:
To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero).