Answer:
Answer: XII CCCXLV
Step-by-step explanation:
To convert 12,345 to Roman Numerals you have to take them apart into place values (ones, tens, hundreds).
Ten Thousands=10,000=X
Thousands=2,000=MM
Hundreds=300=CCC
Tens=40=XL
Ones=5=V
Step-by-step explanation:
Y=1/2x-4
Perpendicular means it is opposite and the reciprocal. 1/2(4) = 2-4 equals -2.
(4,-2)
Answer:
Option (B). Perimeter of the quadrilateral ABCD= 14.6 units
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).
Length of AB = 
= 
= 
= 2.83 units
Length of AD = 
= 
= 2.83 units
Length of BC = 
= 
= 4.47 units
Length of DC = 
= 
= 4.47 units
Perimeter of the quadrilateral = AB + AD + DC + BC
= 2.83 + 2.83 + 4.47 + 4.47
= 14.6 units
Option (B) is the answer.
Answer:
Step-by-step explanation:
c.
y= 30x² +44x +16
factor
y= 2 (15x² +22x +8)
find zeros
15x²+22x+8=0
ax²+bx+c=0
x= (-b±√(b²-4ac))/2a
x= -22±√484-480/30 = -22±2/30 = -11±1/15
there are 2 zeros x= -10/15 ; x= -12/15
d.
y= 10x² +60x +80
factor
y= 10(x²+6x+8) = 10( x+2)(x+4)
finding zeros
x+2 =0 so x= -2
x+4 =0 so x= -4
there are 2 zeros x= -2; x= -4