Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
Answer:
10 units
Step-by-step explanation:
To find the length we can use the formula
d = sqrt( (y2-y1)^2 + (x2-x1)^2)
We have the two points (-5,5) and (3,-1)
d = sqrt( (-1-5)^2 + (3--5)^2)
d = sqrt( (-6)^2 + (3+5)^2)
d = sqrt( (-6)^2 + (8)^2)
d = sqrt( 36 + 64)
d = sqrt(100)
d = 10
The four consecutive even integers are 20, 22, 24, 26
<em><u>Solution:</u></em>
Let the four consecutive even integers are a , a + 2, a + 4, a + 6
Let "a" be the smallest integer and "a + 6" be the largest integer
To find: the four consecutive even integers
Given that the greatest of four consecutive even integers is 14 less than twice the smallest integer
largest integer = twice the smallest integer - 14
a + 6 = 2(a) - 14
a + 6 = 2a - 14
a - 2a = -14 - 6
-a = -20
a = 20
<em><u>Thus the four consecutive even integers are:</u></em>
a = 20
a + 2 = 20 + 2 = 22
a + 4 = 20 + 4 = 24
a + 6 = 20 + 6 = 26
Thus the four consecutive even integers are 20, 22, 24, 26
Answer:
that would be 3/4
Step-by-step explanation:
