Answer:
x = 11
Step-by-step explanation:
Complementary means they add up to 90°
So add the angles up and set them equal to 90°
3x - 4 + 5x + 6 = 90
ADD the x's
8x - 4 + 6 = 90
COMBINE the -4 and 6
8x +2 = 90
SUBTRACT 2 from both sides.
8x = 88
DIVIDE by 8 on both sides.
8x/8 = 88/8
x = 11
12.5mg left at 6pm
Step-by-step explanation:
500mg x 15% = 75mg/hr
Taken at 8am and by 2pm that's 6/hrs 7 x 75mg/hr = 450mg
By 2pm only 50mg are left
Taken at 8am, by 6pm that's 10/hrs
With 50mg left and 4hrs to go
50mg ÷ 4 = 12.5mg
The answer is 10x^2y + 23xy - 5

When

, the slope of the tangent line is

. The equation of the tangent line in point-slope form is then
54 - 4a^2 + 3b^3 when a = -2 and b = 4 is
54 - 4(-2)^2 + 3(4)^3 = 54 - 4(4) + 3(64) = 54 - 16 + 192 = 230