Answer:
The answer is cosx cot²x ⇒ the first answer
Step-by-step explanation:
∵ cot²x = cos²x/sin²x
∵ secx = 1/cosx
∴ cot²x secx - cosx = (cos²x/sin²x)(1/cosx) - cosx
= (cosx/sin²x) - cosx
Take cosx as a common factor
∴ cosx[(1/sin²x) - 1] ⇒ use L.C.M
∴ cosx[1-sin²x/sin²x]
∵ 1 - sin²x = cos²x
∴ cosx(cos²x/sin²x) = cosx cot²x
Answer:
a:
-4 + (-7)
b:
-4+7
Step-by-step explanation:
here sorry it took so long
Set up the following equation for this segment:
x is segment AB's length, and 3x is segment BC's length. 20 is segment AC's length.
Combine like terms:
Divide both sides by 4 to get x by itself:
x will equal 5.
Plug this value into the values for both segments:
Segment AB:
Segment AB is 5 inches long.
Segment BC:
Segment BC is 15 inches long.
Answer:
c
Step-by-step explanation:
Answer:
The equation of the line in slope-intercept form is:
Step-by-step explanation:
Given the points
Finding the slope




We know the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept
substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept



now substituting m = -10/7 and b = -45/7 in the slope-intercept form



Thus, the equation of the line in slope-intercept form is: