Answer:
10 and 4.
Step-by-step explanation:
Let x be the first number.
Let y be the second number.
x + y = 2x - 6
x - y = 4y - 10
x = 4y - 10 + y
x = 5y - 10
(5y - 10) + y = 2(5y - 10) - 6
6y - 10 = 10y - 20 - 6
6y - 10 = 10y - 26
6y - 10y = -26 + 10
-4y = -16
y = 4
x - (4) = 4(4) - 10
x - 4 = 16 - 10
x - 4 = 6
x = 6 + 4
x = 10
Answer:
The equation of the line is;
y = 3x + 18
Step-by-step explanation:
We want to write the equation of the line through (-9,-9) and (-6,0)
we start by calculating the slope of the line
m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3
The general equation of the line is;
y = mx + c
y = 3x + c
To get c, we use any of the points
we substitute for example -6 for x and 0 for y
0 = 3(-6) + c
c = 0 + 18 = 18
So the equation of the line is;
y = 3x + 18
Given:
In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).
To find:
The equation that represents a line that contain CD.
Solution:
We have,
A(-4,0) and B(0,3)
Slope of AB is



The slope of line AB is
.
Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.
In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.
Slope of line AB = Slope of line CD = 
The slope intercept form of a line is

Where, m is slope and b is y-intercept.
Slope of line CD is
, it means the line must be of the form

Coefficient of x is
only in option a.
Therefore, the correct option is a.