Answer:
.
Step-by-step explanation:
The slope-intercept form equation of a slanting line is in the form
, where
would be the slope of that line.
The equation of the original line is given in the slope-intercept form:
. The slope of that line would thus be
.
Two slanted lines in a plane are perpendicular to one another if and only if their slopes are inverse reciprocals.
In other words, if the slope of two slanted lines are
and
, those two lines would be perpendicular to one another if and only if
.
In this question, the slope of the given line is
. Rearrange the equation
to find
, the slope of the line perpendicular to the given line:
.
In other words, the slope of the line perpendicular to the given line would be
.
If a line of slope
goes through the point
, the point-slope equation of that line would be
.
In this question, the requested line goes through the point
. It was also deduced that the slope of this requested line is be
. The equation of this line in point-intercept form would be:
.
Rearrange to find the equation of this line in slope-intercept form:
.
Answer:
4-13 is -9 and -9 to the 4th power is 6561 -6 is 6555
Then you do 25/5 which is 5 so 6555 over 5 is 1311
1311 minus the absolute value of -2 which is 2 so 1311 minus 2 is 1309
Step-by-step explanation:
1309
Answer:
541.17ft^2
Step-by-step explanation:
the total area of the garden is the sum of area of rectangle and half of area of circle
area of rectangle=(l)(h)=(23)(18)=414
area of semicircle=1/2pir^2
since r is half of h=1/2(18)=9
area of semicircle=1/2pi(9)^2=127.17
total area of garden=414+127.17=541.17 ft^2
The mode is the number that is repeated most often
<h3>
Answer: 0.21</h3>
======================================================
Explanation:
All of the values in the P(x) column must add to 1.
The value 1 in probability means 100%
Let y be the missing value in the table
0.25+y+0.39+0.15 = 1
y+0.79 = 1
y = 1-0.79
y = 0.21
The probability that x = 4 is 0.21
In other words, P(4) = 0.21
Or that we have a 21% chance of having x = 4 happen.