Are u in a middle of a test right now or something
<u>Answer:</u>
Point Form:
(−5,1)
Equation Form:
x=−5, y=1
<u>Step-by-step explanation:</u>
Solve for the first variable in one of the equations, then substitute the result into the other equation.
1. x=5y−10
2. 20y−30=−10
3. y=1
4. x=−5
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.
Subtract 2 from both sides.
Your equation will be: 4x+3=x
Subtract 4x from both sides.
Yoir equation will be: 3= -3x
Divide by -3x on both sides.
Your final answer: x=-1
Answer:
83.15
Step-by-step explanation:
Joey's current grade can be determined by weighting his scores with the weights given and adding the results
Tests = 0.6 x 82 = 49.2
Quizzes = 0.25 x 77 = 19.25
homework = 0.15 x 98 = 14.7
49.2 + 19.25 + 14.7 = 83.15
