Look carefully at the first pair: (−3, 9), (−3, −5) Note that x does not change, tho' y does. This is how we recognize a vertical line (whose slope is undefined). The equation of this vertical line is x = -3.
Looking at the second pair: from (3,4) to (5,6), x increases by 2 and y by 2; thus, the slope is m = rise/run = 2/2 = 1.
Third pair: as was the case with the first pair, x does not change here, and thus the equation of this (vertical) line is x=0 (which is the y-axis). The slope is undefined.
Answer:
horizontal line because it doesn't pass vertical line test
Step-by-step explanation:
let eqn be y = mx + b.
2x + 9y = 8
9y = -2x + 8
y = -2/9 x + 8/9
since the lines are perpendicular, product of the slope of the two lines = -1.
hence,
m x -2/9 = -1
m = 9/2
sub (0, -3):
-3 = 9/2(0) + b
b = -3
therefore equation is: y = 9/2x - 3
Topic: coordinate geometry
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Answer:
Q2 2010
Step-by-step explanation:
Let the number of quarters = x
Samsung increases by 6 each quarter.
Apple decreases by 1 each quarter.
Samsung
L = a + (x - 1)*6
a = 1
L = 1 + (x - 1)*6
Apple
L = a - (x - 1)*1
a = 53
L = 53 - (x - 1)*1
Now the problem is how many quarters go by until they meet?
1 + (x - 1)*6 = 53 - (x - 1) Remove the brackets
1 + 6x - 6 = 53 - x + 1 Combine like terms on both sides.
-5 + 6x = 54 - x Add 5 to both sides
6x = 59 - x Add x to both sides
7x = 59
x = 59/7 = 8 3/7
So sometime in the 8th quarter from zero they will be equal. At the end of the quarter, Samsung will be greater than Apple
So the answer should be 4 quarters from Q2 2009 or Q2 2010
Answer:
A. ![(-\infty, -4]\ or\ (2,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-4%5D%5C%20or%5C%20%282%2C%5Cinfty%29)
Step-by-step explanation:
Given:
The inequality is given as:
Now, consider the first inequality
Here, 'x' is less than or equal to -4. The values that are less than -4 are -5, -6, -7... so on. The inequality used is 'less than or equal to'. This means that -4 is included in the solution. So, we use a square bracket (closed interval) at the other end.
The inequality in notation form is thus, ![(-\infty,-4]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-4%5D)
Now, consider the other inequality 
The values of 'x' are greater than 2. The values that are greater than 2 are 3, 4, 5... and so on. Also, 2 is not included in the solution. So, we use open interval on either side.
Therefore, in interval notation form is 
There is a conjunction 'or' used in the inequality. Therefore, the answer is:
A.
The graph on the number line is shown below.
