Answer:
The line passing through (-8, 10) and (-1, 4).
Step-by-step explanation:
Two lines are perpendicular if the product of their slopes is -1. The slope of the line in the picture is
, so we should find a line with slope of
.
Note that the slope of the line in the last option is
.
The surveyor selects the twentieth student who enters the building. The student do not enter the building to be surveyed but for other reasons and the researcher take advantage of that and selects them. This is a form of continence sampling.
The researcher selects every twentieth student and not any other. Therefore, the sampling is systematic in nature.
Finally, students selected to participate in the survey are free to choose if to participate in he survey or not. Therefore, it is voluntary kind of sampling.
Therefore, the applicable sampling methods are convenience, systematic, and voluntary.
Answer:
1. x = 3 or x = -8
2. x = -2 or x = 10
Step-by-step explanation:
<u>1. |2x + 5| = 11</u>
2x + 5 = 11 Or 2x + 5 = -11
-5 -5 -5 -5
----------------- -----------------
2x = 6 2x = -16
/2 /2 /2 /2
----------------- -----------------
x = 3 x = -8
<u>2. 3|x - 4| + 1 = 19</u>
3|x - 4| + 1 = 19
-1 -1
----------------------
3|x - 4| = 18
/3 /3
----------------------
|x - 4| = 6
x - 4 = -6 Or x - 4 = 6
+4 +4 +4 +4
----------------- -----------------
x = -2 x = 10
Answer:
-2
Step-by-step explanation:
23x + 1 > - 45
or, 23x > - 45 - 1
or, 23x > - 46
or, x > - 46/23
or, x > - 2
hope it will help you☺
A conjuate is real numbers like the conjuate of x and y would be a real number