Answer: (y + 3) = -1/3 (x - 2)
Step-by-step explanation:
Point-slope form has the form of
y - y1 = m (x - x1)
Where
y1 is the y-value of a point on the line
x1 is the x-value of a point on the line
m is the slope of the line
The problem already gives a point on the line, (2, -3)
(y + 3) = m (x - 2)
Remember to put the opposite value of the x and y values. (In other words, do NOT write (y - 3) = m (x + 2) )
The slope of a perpendicular line is the opposite reciprocal of slope of the line it is perpendicular to. The perpendicular line given in the equation is
3x - y = 4
When rearranged to slope-intercept form, we get
y = 3x - 4
Meaning the slope of the perpendicular line is 3. The opposite reciprocal of positive three is negative one-third. Therefore, the slope of the line we are solving for is -1/3.
Answer:
WX = 8 mm
Step-by-step explanation:
To be able to solve for WX, we need to first find the size of angle 
.
We use the law of sines in the blue triangle to do such:
Now we can use this value in the larger right angle triangle where WX is the opposite side to angle , and the 20 mm side is the hypotenuse:
which rounded to the nearest integer gives
WX = 8 mm
-4 is the x intercept.as in the values on the x-axis
<span>Given:
visited museum didn't visit museum Total
visited zoo 9 14 23
didn't visit zoo 5 2 7
Total 14 16 30
Simply look at the table and check the number that corresponds to visitors who visited the museum but did not visit the zoo. The number is 5.
Divide it by the total number of people surveyed. Total is 30.
Probability visited the museum but did not visit the zoo = 5/30 = 0.16666 or 16.67%</span>
Answer:
1/8
Step-by-step explanation:
The slope of a line given two points is found by
m = (y2-y1)/ (x2-x1)
= (-2 - -3)/(4 - -4)
= (-2 +3)/(4+4)
1/8
