Answer:
(-5, 3)
Step-by-step explanation:
The coordinates of the midpoint are the averages of the endpoints.
-1.5 = (x + 2) / 2
-3 = x + 2
x = -5
6 = (y + 9) / 2
12 = y + 9
y = 3
Answer:
Answer: Expression that represents the length of one side of the square is x - 5.
Answer:
marcus saved 31.25
Step-by-step explanation:
Answer:
147
Step-by-step explanation:
x = 7,
3x² = 3 × 7²
= 3 × 49
= 147
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
