Answer:
Option A is correct.
Step-by-step explanation:
Given coordinates of the point ( -1 , 4 )
Option A
y ≤ -x + 4
LHS = y = 4
RHS = -x + 4 = -(-1) + 4 = 5
LHS ≤ RHS
So, Given point belong to this graph.
Option B
y ≤ -x - 5
RHS = -x - 5 = -(-1) - 5 = -4
LHS ≥ RHS
So, Given point does not belong to this graph.
Option C
y ≤ 2x - 3
RHS = 2x - 3 = 2(-1) - 3 = -5
Option D
y ≤ 5x + 1
RHS = 5x + 1 = 5(-1) + 1 = -4
Therefore, Option A is correct.
cos B =
tan B =
sin B =
In the right triangle, there are three sides and 2 acute angles
The trigonometry functions of one of the acute angles Ф are
In Δ ACB
∵ ∠C is the right angle
∴ AB is the hypotenuse
∵ AC is the opposite side of ∠B ⇒ leg1
∵ CB is the adjacent side of ∠B ⇒ leg2
→ By using the ratios above
∴ cos B = , tan B = , sin B =
∵ CB = 7, AB = 25, AC = 24
∴ cos B =
∴ tan B =
∴ sin B =
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
P = - 8
Given
P = x + y ← substitute x = - 5 and y = - 3
P = - 5 + (- 3) = - 5 - 3 = - 8