Answer:
H is the same coordinates as G
Given:
The two numbers are
To find:
The highest common factor (HCF) of A and B
Solution:
We have,
...(i)
All the factors of A are prime but the factors of B are not prime. So, it can be written as
...(ii)
From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,
Therefore, the highest common factor (HCF) of A and B is 3.
Answer:
6 23/24
Step-by-step explanation:
First, find the least common factor of 8 and 12, the denominators.
8 16 24
12 24
24, is now the current denominnator,
8x 3 = 24
Now you go do it to the numerator, 3 x 3 = 9
9/24 + ?
Now, 12 x 2 = 24, do it to the numerator, 7 x 2 = 14
4 9/24 + 2 14/24
Now add the front numbers to make 6, than add the numerators and keep the denominator.
6 23/24, since you can not simplify this fraction, this is the answer.
Answer:
y = -4x +2
Step-by-step explanation:
As x-values increase by 1, y-values decrease by 4. The slope of the line is ...
... m = (change in y)/(change in x) = -4/1 = -4
We can use the first (x, y) pair as a point to use in the point-slope form of the equation of a line. That form can be written, for slope m and point (h, k) ...
... y = m(x -h) +k
using m = -4 and (h, k) = (1, -2), we can fill in the numbers to get ...
... y = -4(x -1) -2
... y = -4x +4 -2 . . . . eliminate parentheses
... y = -4x +2 . . . . . . slope-intercept form
_____
<em>Alternate approach</em>
After you recognize that a change in x of 1 gives a change in y of -4, you can work backward one step to find the table value for y corresponding to x=0. That will be -2+4 = +2. Now, you know both the slope (-4) and the y-intercept (+2), so you can write the equation directly from this knowledge:
... y = -4x +2
