Answer:
the number is 4
Step-by-step explanation:
we can write this as
x + 15 = 19
now we transpose
x= 19-15
x= 4
Answer:
C (2, -1)
Step-by-step explanation:
C has the same x coordinate as A = 2
that eliminates A and B.
and the y value of C has to be closer to the y value of B than to the y value of A (due to the 5:3 ratio).
so, without spending unnecessary effort on actual calculation, we can directly derive the correct answer to be C.
but to show in numbers, the "coordinate triangle" of the difference between D and B is a similar triangle to ACD. and so, the ratio of one side pair applies then to all other sides too. including the individual coordinate differences.
so, also the y difference of A to D relates to the y difference between D and B in the same ratio of 5:3 of the overall y difference of A to B.
the y difference A to B is 2 - -6 = 8
the 5/3 split of 8 units is actually 5 and 3.
so, the y coordinate of D is -6 + 5 = -1
and C must have the same y coordinate.
therefore, it is proven that answer C (2, -1) is the right answer.
Answer:
2
Step-by-step explanation:
Substitute y=2x in the first equation into the second.
The second equation then becomes;
x = -(2x)+6
x = -2x+6
Collectiing like terms, more -2x to the left,
x+2x =6
3x=6
x=
x= 2
<span>1) Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). y = 1/2x
2)Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1).
m = (-9 - 1) / (6 - 7) = -10/-1 = 10
y + 9 = 10 (x - 6)
y = 10x - 69
3) A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.
4)Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4).
m = (5 - 4) / (-3 - -1) = 1/-2
y - 5 = (-1/2) (x +3)
y = (-1/2)x + 7/2
5) Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1).
m = (6-1)/(6 - -6) = 5 / 12
y - 6 = (5/12) (x-6)
y = (5/12)x + 17 / 2
6) Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4).
m = (2 - -4) / (-8 -1) = 6 / -7
y - 2 = (-6/7) (x + 8)
y = (-6/7)x - 50 / 7
7) Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1).
m = (-9 - 1) / (5 - -6) = -10 / 11
y + 9 = (-10 / 11) (x - 5)
y = (-10 / 11)x -49/11
</span>
Answer:
3/4 and 0.95 would both result in a reduction.
Step-by-step explanation:
multiplying by anything less than 1 will make it smaller which both 3/4 and 0.95 are smaller than 1.
