Answer:
to have an infinite number of solutions, the lines have to be on top of each other.....basically, they have to be the same line.
y = 3x - 1
-3x + y = -1.....multiply by -1
3x - y = 1 <== this would be ur other equation because if u put this in slope intercept form (y = mx + b), it would be the same as y = 3x - 1
Step-by-step explanation:
You can be paid with two methods, salary or hourly.
Hourly is a certain amount that you are paid per hour, so it varies each day depending on how many hours you work.
Salary is a fixed amount that you are paid on a regular basis (monthly, weekly, bi-weekly or any other fixed amount of time).
Answer:
- PQRS - a parallelogram
- GHJI - not necessarily
- RSUT - a parallelogram
- ABDC - a parallelogram
Step-by-step explanation:
A parallelogram has these characteristics that can be useful for answering this question:
- opposite sides are the same length
- opposite sides are parallel
- the diagonals bisect each other
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<h3>PQRS</h3>
Opposite sides are the same length: a parallelogram
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<h3>GHJI</h3>
Two isosceles triangles share a base segment. Not necessarily a parallelogram.
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<h3>RSUT</h3>
The diagonals bisect each other: a parallelogram
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<h3>ABDC</h3>
Opposite sides are parallel: a parallelogram. We know BD║AC from the converse of the alternate interior angles theorem. AB and CD are marked parallel.
Answer:
cos2θ = -0.7041
Cos θ = -0.3847
Step-by-step explanation:
Firstly, we should understand that since θ is in quadrant 2, the value of our cosine will be negative. Only the sine is positive in quadrant 2.
Now the sine of an angle refers to the ratio of the opposite to the adjacent. And since there are three sides to a triangle, we need to find the third side which is the adjacent so that we will be able to evaluate the cosine of the angle.
What to use here is the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the adjacent and the opposite.
Since Sine = opposite/hypotenuse, this means that the opposite is 12 and the hypnotist 13
Thus the adjacent let’s say d can be calculated as follows
13^2 = 12^2 + d^2
169 = 144 + d^2
d^2 = 169-144
d^2 = 25
d = √25 = ±5
Since we are on the second quadrant, the value of our adjacent is -5 since the x-coordinate on the second quadrant is negative.(negative x - axis)
The value of cos θ = Adjacent/hypotenuse = -5/13
Cos θ = -5/13
Cos θ = -0.3846
Using trigonometric formulas;
Cos 2θ = cos (θ + θ) = cos θ cos θ - sin θ sin
θ = cos^2 θ - sin^2 θ
Cos 2θ = (-5/13)^2 - (12/13)^2
Cos 2θ = 25/169 - 144/169
Cos 2θ = (25-144)/169 = -119/169
Cos 2θ = -0.7041
