4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
Answer:
The complementary angle is 72
Step-by-step explanation:
Complementary angles add to 90 degrees
Let x be the complementary angle
x+18 = 90
Subtract 18 from each side
x = 90-18
x = 72
Answer:
9) 128
10) 78
11) 31
12) 148
Step-by-step explanation:
9) we know that the segment across from the angle 48° is double the angle.
48 · 2 = 96
The segments around the circle should all add up to 360 so we add the two segments we know to find the unknown segment.
136 + 96 = 232
360 - 232 = 128
The answer for 9 is 128.
10)
61 + 80 = 141
180 - 141 = 39
39 * 2 = 78
The answer for question 10 is 78.
11)
236 + 62 = 298
360 - 298 = 62
62 ÷ 2 = 31
The answer for question 11 is 31.
12)
50 · 2 = 100
100 + 112 = 212
360 - 212 = 148
The answer for question 12 is 148.
Answer:
Step-by-step explanation:
perp.: -1
y - 5 = -1(x + 9)
y - 5 = -x - 9
y = -x - 4
