How many solutions does this system have?
1 answer:
Answer:
One Solution
(2, 1)
Step-by-step explanation:
We have the following system of equations
To solve the system, substitute the second equation in the first equation and solve for the variable x
Now substitute the value of x into any of the two equations and solve for the variable y.
Finally the system of equations has one solution
(2, 1)
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Greetings!
Solve the System, using Elimination:
Multiply Equation #2 by 2:
Eliminate variable x:
Divide both sides by 4:
Input this value into one of the Equations:
Simplify:
Divide both sides by 4.
The Solution to this System (The Point of Intersection):
I hope this helped!
-Benjamin
Solve the System, using Elimination:
Multiply Equation #2 by 2:
Eliminate variable x:
Divide both sides by 4:
Input this value into one of the Equations:
Simplify:
Divide both sides by 4.
The Solution to this System (The Point of Intersection):
I hope this helped!
-Benjamin
A right triangle will be formed with 2.2 km as the hypotenuse, 0.5 degrees as the angle, and an unknown height (see attachment).
Recall the trigonmetric ratios sine, cosine, and tangent that can be used for right triangles.
Sin<span>θ = opposite side/hypotenuse
</span>Cos<span>θ = adjacent side/hypotenuse
</span>tan<span>θ = opposite side / adjacent side
</span>θ (theta) refers to the angle (not the right angle). In this case, θ is the given angle of 0.5°.
In this problem, you will use sine because there is a side opposite to the angle (the unknown side h) and the hypotenuse, and sine relates those two sides.
Let the variable h represent the unknown opposite side, the height.
sin(0.5°) = h / (2.2km)
h = (2.2km)sin(0.5<span>°)
h = 0.019 km
Hope I helped! If you have questions on any of the steps, please comment below.</span>
Recall the trigonmetric ratios sine, cosine, and tangent that can be used for right triangles.
Sin<span>θ = opposite side/hypotenuse
</span>Cos<span>θ = adjacent side/hypotenuse
</span>tan<span>θ = opposite side / adjacent side
</span>θ (theta) refers to the angle (not the right angle). In this case, θ is the given angle of 0.5°.
In this problem, you will use sine because there is a side opposite to the angle (the unknown side h) and the hypotenuse, and sine relates those two sides.
Let the variable h represent the unknown opposite side, the height.
sin(0.5°) = h / (2.2km)
h = (2.2km)sin(0.5<span>°)
h = 0.019 km
Hope I helped! If you have questions on any of the steps, please comment below.</span>