<span>1) Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). y = 1/2x
2)Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1).
m = (-9 - 1) / (6 - 7) = -10/-1 = 10
y + 9 = 10 (x - 6)
y = 10x - 69
3) A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.
4)Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4).
m = (5 - 4) / (-3 - -1) = 1/-2
y - 5 = (-1/2) (x +3)
y = (-1/2)x + 7/2
5) Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1).
m = (6-1)/(6 - -6) = 5 / 12
y - 6 = (5/12) (x-6)
y = (5/12)x + 17 / 2
6) Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4).
m = (2 - -4) / (-8 -1) = 6 / -7
y - 2 = (-6/7) (x + 8)
y = (-6/7)x - 50 / 7
7) Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1).
m = (-9 - 1) / (5 - -6) = -10 / 11
y + 9 = (-10 / 11) (x - 5)
y = (-10 / 11)x -49/11
</span>
Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
The answer to that is 80 percent as a fraction is 8/10
Answer:
10+2x= the sum (anything could be put here)
Step-by-step explanation:
Well sum is automatically addition
Doubleing a number is basically multiplying it by 2
so
10+2x= whatever youw ant to put here
Answer:
m∠ZWX = 105°
Step-by-step explanation:
Properties of a kite,
1). One diagonal of a kite bisects at least one pair of opposite angles.
2). Diagonals of a kite kite are perpendicular to each other.
In ΔWTZ,
m∠WZT = 
= 
= 50°
m∠WTZ = 90° [By second property]
m∠WZT + m∠WTZ + m∠ZWT = 180°
50° + 90° + m∠ZWT = 180°
m∠ZWT = 180° - 140°
= 40°
Similarly, in ΔWTX,
m(∠WXT) = 
= 25°
m(∠WTX) = 90°
m∠WTX + m∠WXT + m∠TWX = 180°
90° + 25° + m∠TWX = 180°
m∠TWX = 180° - 115°
= 65°
Since, m∠ZWX = m∠ZWT + m∠TWX
Therefore, m∠ZWX = 40° + 65°
= 105°
