Answer:
D
Step-by-step explanation:
y-y1=m(x-x1) through (4,4)
x-3y= -18 is perpendicular : m1*m2=-1
y=mx+c
-3y=-18-x
3y= 18+x
y=x/3 + 6
y= 1/3x + 6
m1*m2= -1
m1= -1/m2
m1= -1/1/3
m1= -3
y- 4= -3(x - 4)
y-4= -3x +12
y= -3x +12+4
y= -3x + 16
9514 1404 393
Answer:
185°
Step-by-step explanation:
The triangle internal angle at Y is 145° -45° = 100°. Since the triangle is isosceles, the internal angles at X and Z are both (180° -100°)/2 = 40°. Then the bearing of Z from X is the bearing of Y from X less the internal angle at X:
(45° +180°) -40° = 185°.
Z from X is 185°.
6 because if you multiply (3/5)2 you get 6
Y varies as x
y=kx
y=12 when x=4
12=k4
divide 4
3=k
y=3x is equation
answer is B
Let W and L be width and length of the rectangular pen respectively.
Therefore,
Circumference, C = 2W+2L= 130 yd
Area, A = LW = 1050 yd^2=> L = 1050/W
Using the circumference expression and substituting for L;
130 = 2W + 2(1050/W) = 2W+2100/W
130*W = 2W*W + 2100
130W = 2W^2 +2100
2W^2-130W+2100 = 0
Solving for W;
W= [-(-130)+/- Sqrt ((-130)^2-4(2)(2100)]/2*2 = 32.5+/- 2.5
W = 30 or 35 yd
When W = 30, L = 1050/30 = 35
When W = 35, L = 1050/35 = 30
Therefore, W = 30 yd and L = 35 yd.
