The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4
At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5
-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5
This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
Answer:
y = 9x-3
Step-by-step explanation:
since the slope intercept form is in the y=mx+b form, you just have to plug in the slope for m and the y-intercept for b.
The number would be 18.
Half of 18 = 9
Two thirds of 18 = 12
9 + 12 = 21
Answer:
because one pair of congruent corresponding angles is sufficient to determine similar triangles.
Expanded:
y = sin(4x)*sin(4x)*cos(3x)
need to use the product rule and chain rule
look at individual derivatives, use chain rule
d/dx sin(4x) = 4cos(4x)
d/dx cos(3x) = -3sin(3x)
put it together using product rule
dy/dx = 4cos(4x)*sin(4x)*cos(3x) + 4cos(4x)*sin(4x)*cos(3x) - 3sin(3x)*sin(4x)*sin(4x)
simplify
dy/dx = 8cos(4x)*sin(4x)*cos(3x) - 3sin(3x)*sin2(4x)
answer is A.
