Answer:
-0.2
Step-by-step explanation:
Slope (m) =ΔY/ΔX= 8-(-2)/-3-(-1)
= -1/5
= -0.2
Answer:
the Largest shed dimension is 13.5 ft by 13.5 ft
Largest Area is 182.25 ft²
Step-by-step explanation:
Given that;
Perimeter = 54 ft
P = 2( L + B ) = 54ft
L + B = 54/2
L + B = 27 ft
B = 27 - L ------------Let this be equation 1
Area A = L × B
from equ 1, B = 27 - L
Area A = L × ( 27 - L)
A = 27L - L²
for Maxima or Minima
dA/dL = 0
27 - 2L = 0
27 = 2L
L = 13.5 ft
Now, d²A/dL² = -2 < 0
That is, area is maximum at L = 13.5 using second derivative test
B = 27 - L
we substitute vale of L
B = 27 - 13.5 = 13.5 ft
Therefore the Largest shed dimension = 13.5 ft by 13.5 ft
Largest Area = 13.5 × 13.5 = 182.25 ft²
Answer: The correct option is (D) 36.
Step-by-step explanation: We are given to find the value of 'y' that would make OP parallel to LN.
MO = 28 units, OL= 14 units, Pl = 18 units and MP = y = ?
From the figure, we have
if OP ║ LN, then we must have
∠MOP = ∠MLN
and
∠MPO = ∠MNL.
Since ∠M is common to both the triangles MOP and MLN, so by AAA postulate, we get
ΔMOP similar to ΔMLN.
We know that the corresponding sides of two similar triangles are proportional, so

Thus, the required value of 'y' is 36.
(D) is the correct option.
The factor that is the first one is the most important