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Which graph represents the solution set of the system of inequalities? {y<2x+2 x+y≥−3
1 answer:
y < 2x + 2
y-intercept = 2, m = 2 > 0 therefore the function is increasing (pic. 1 and 2)
x + y ≥ -3 |-x
y ≥ -x - 3
The slope intercept form: y = mx + b
m - slope, b - y-intercept
y-intercept = -3, m = -1 < 0 therefore the function is decreasing (pic. 1 and 2)
y < 2x + 2 shaded below the line (pic. 1)
y ≥ -x - 3 shaded above the line (pic. 1 and 2)
Answer: pic.1
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Answer:
cos B =
tan B =
sin B =
Step-by-step explanation:
In the right triangle, there are three sides and 2 acute angles
- Hypotenuse ⇒ the opposite side of the right angle
- Leg1 and Leg 2 ⇒ the sides of the right angle
The trigonometry functions of one of the acute angles Ф are
- sin Ф = opposite leg/hypotenuse
- cos Ф = adjacent leg/hypotenuse
- tan Ф = opposite leg/adjacent leg
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 =