first function 2nd function
slope =(y2-y1)/(x2-x1) slope =(y2-y1)/(x2-x1)
=(14-2)/(3-0) m = (-3--12/(3-0)
12/3 m=(-3+12)/3
4 m =9/3 =3
y = 4x+2 y = 3x+-12
set these two equations equal
4x+2 = 3x-12
subtract 3x
x+2 = -12
subtract 2 from each side
x = -14
y = 3x-12
y =3*(-14)-12
y = -42-12
y = -54
ChoiceD
Length - l
Width - w
Given,
Perimeter = 60
2(l +w) = 60
l + w = 30
l = 30 - w
Given,
l = 3w
30 - w = 3w
4w = 30
--- w = 7.5
--- l = 3w = 3 * 7.5 = 29.5
Hence, the length of the rectangle is 29.5 and the width is 7.5
50x513 is 25,650, 25,650x2 is 51,300
The three inside angles of a triangle need to equal 180 degrees.
This means X = 180 - 43 - 59 = 78 degrees.
X and Z make a straight line that also needs to equal 180 degrees,
so Z = 180 - 78 = 102 degrees.
Y = 180 - 102 - 13 = 65 degrees.