Answer:
Step-by-step explanation:
slope of CD=(1+2)/(8-4)=3/4
slope of line ⊥ to CD=-4/3
eq. of line with slope -4/3 and passing through (4,-2) is
y-y1=m(x-x1)
y+2=-4/3(x-4)
3y+6=-4x+16
3y=-4x+16-6
3y=-4x+10
or 4x+3y-10=0
this is the eq. of line in the form ax+by+c=0
or in slope form
y=-4/3 x- 10/3
Answer: seven doxen
Step-by-step explanation: 8*12=96, 14 per batch so 96/4=6.85, round up to the nearest dozen
Answer:
.35
Step-by-step explanation:
(-4)⁴ = (-4)*(-4)*(-4)*(-4)
= [(-4)*(-4)] * [(-4)*(-4)]
Because (-4)*(-4) = 16, therefore
(-4)⁴ = 16*16 = 256
Answer: 256
Answer:
2a +2b +4
Step-by-step explanation:
The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...
(3a +8) +(5a +b) +x = (10a +3b +12)
Subtracting from the equation everything on the left side that is not x, we get ...
x = (10a +3b +12) -(3a +8) -(5a +b)
= a(10 -3 -5) +b(3 -1) +(12 -8)
= 2a +2b +4
The length of the third side is 2a +2b +4.