Answer:
6n + 24
Step-by-step explanation:
So for this, we will be forming a proportion. In this case, our proportion is going to be:
. From here we can solve for x.
Firstly, cross-multiply: ![6x=26](https://tex.z-dn.net/?f=%206x%3D26%20)
Next, divide both sides by 6, and your answer will be (rounded to the whole hour) ![x=4](https://tex.z-dn.net/?f=%20x%3D4%20)
The two angles to be selected are as follows with their termination quadrants respectively;
- 130° = The terminal side of the angle lies in the second quadrant.
- (4π/3) radians= The terminal side of the angle lies in the third quadrant.
<h3>What is the terminal side of the angles selected?</h3>
According to the task content, two angles are to be selected in which case one is in degrees and the other in radians with the quadrants in which their terminal sides lie.
Consequently, it follows from convention that the angles in discuss are as follows;
- 130° = The terminal side of the angle lies in the second quadrant.
- (4π/3) radians= The terminal side of the angle lies in the third quadrant.
Ultimately, the angles are as represented above in which case, (4π/3) radians is equivalent to 240°.
Read more on terminal side of angles;
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![10^2 = \bold{100}](https://tex.z-dn.net/?f=10%5E2%20%3D%20%5Cbold%7B100%7D)
is the equivalent number of
.
Answer:
x = 9/2, y = -5/2
Step-by-step explanation:
5x + y = 20
10x - 2y = 50
There's multiple ways to do this, but I will solve using substitution.
Isolate variable y on the first equation.
5x + y = 20
y = 20 - 5x
Substitute the value of y for 20 - 5x in the second equation.
10x - 2(20 - 5x) = 50
Use distributive property:
10x - 40 + 10x = 50
Combine like terms:
20x - 40 = 50
20x = 90
x = 90/20
x = 9/2
Substitute x for 9/2 and solve for y:
y = 20 - 5(9/2)
y = 20 - 45/2
y = 40/2 - 45/2
y = -5/2