x/2 + 4 < 7
multiply both sides by 2
x/2 * 2 + 4 * 2 < 7 * 2
which equals
x + 8 < 14
subtract 8 from both sides
x + 8 - 8 < 14 - 8
x < 6
The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let 
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
Point-slope intercept formula:
and 
Substitute these in the formula, we get
Add 8 on both sides of the equation.
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16
Hi!
Let's start with the mean.
The mean is all the numbers added together, divided by how many numbers there are.
13+16+16+10+6+12+4+12+16=105
there are 9 numbers so..
105/9 = 11.7
The mean is 11.7
Find the median.
The median is the number in the middle of the data set when the numbers are in numerical order.
4, 6, 10, 12, 12, 13, 16, 16, 16
The median is 12.
Find the mode.
The mode is the number that is repeated the most.
4, 6, 10, 12, 12, 13, 16, 16, 16
The mode is 16
Find the range.
The range is the difference of the smallest number from the biggest number.
16 - 4 = 12
The range is 12
The answer is 11.7, 12, 16, 12
Hope this helps! :)
Answer:
SOH-CAH-TOA
TAN(30) = 3/x
Step-by-step explanation:
