Answer:
a
Step-by-step explanation:
0=3x²+20x+12
0=(3x+2)(x+6)
0=3x+2 0=x+6
-2=3x -6=x
-2/3=x
Answer:
x = -52
y = -11
Step-by-step explanation:
Let 1st number = x
Let 2nd number = y
Hence:
x+y=-63
x-y=-41
y = x+41
(Apply Simultaneous Equations)
x+(x+41)=-63
2x+41=-63
2x=-63-41
2x=-104
x=-104/2
x=-52
Now:
y=-52+41
y=-11
Answer:
The answer to your question is Tree's height = 26.8 ft
Step-by-step explanation:
Data
Person Tree
height = 6 ft height = x
shadow = 8.5 ft shadow = 38 ft
Process
1.- Use the Thales' theorem to solve this problem
Person's height/ Person's shadow = Tree´s height / Tree's shadow
Solve for Tree's height
Tree's height = Person's height x Tree's shadow / Person's shadow
Substitution
Tree's height = 6 x 38 / 8.5
Simplification
Tree's height = 228 / 8.5
Result
Tree's height = 26.8 ft
Let W = width of package
Let H = height of package
Let L = length of package
The perimeter cab be one of the following:
P = 2(L + W), or
P = 2(L + H)
The perimeter of the cross section cannot exceed 108 in.
When the width is 10 in, then
2(L + 10) <= 108
L + 10 <= 54
L <= 44 in
When the height is 15 in, then
2(L + 15) <= 108
L + 15 <= 54
L <= 39 in
To satisfy both of these conditions requires that L <= 39 in.
Answer: 39 inches