160.6666666666 (continuously) or round it to 160.7
The system of equations have 2 solutions
<h3>How to determine the number of solutions?</h3>
The system of equations is given as:
-1/3x² = 5/6 + 1/3y²
5y² = 25/2 - 5x²
Next, we plot the graph of the system of equations.
From the attached graph, the equations intersect at two points
Hence, the system of equations have 2 solutions
Read more about system of equations at:
brainly.com/question/12895249
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All you have to do is subtract 38 from 45 to get 7 as your answer.
Answer:
81.23 ft and 77.88 ft long
Step-by-step explanation:
The sum of the internal angles of a triangle is 180 degrees, the missing angle is:
![a+b+c=180\\a+23+22=180\\a=135^o](https://tex.z-dn.net/?f=a%2Bb%2Bc%3D180%5C%5Ca%2B23%2B22%3D180%5C%5Ca%3D135%5Eo)
According to the Law of Sines:
![\frac{A}{sin(a)}= \frac{B}{sin(b)}= \frac{C}{sin(c)}](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7Bsin%28a%29%7D%3D%20%5Cfrac%7BB%7D%7Bsin%28b%29%7D%3D%20%5Cfrac%7BC%7D%7Bsin%28c%29%7D)
Let A be the side that is 147 feet long, the length of the other two sides are:
![\frac{A}{sin(a)}= \frac{B}{sin(b)}\\B=\frac{sin(23)*147}{sin(135)}\\B=81.23\ ft\\\\\frac{A}{sin(a)}= \frac{C}{sin(c)}\\C=\frac{sin(22)*147}{sin(135)}\\C=77.88\ ft](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7Bsin%28a%29%7D%3D%20%5Cfrac%7BB%7D%7Bsin%28b%29%7D%5C%5CB%3D%5Cfrac%7Bsin%2823%29%2A147%7D%7Bsin%28135%29%7D%5C%5CB%3D81.23%5C%20ft%5C%5C%5C%5C%5Cfrac%7BA%7D%7Bsin%28a%29%7D%3D%20%5Cfrac%7BC%7D%7Bsin%28c%29%7D%5C%5CC%3D%5Cfrac%7Bsin%2822%29%2A147%7D%7Bsin%28135%29%7D%5C%5CC%3D77.88%5C%20ft)
The other two sides are 81.23 ft and 77.88 ft long
Answer:
(-13,12)
Step-by-step explanation:
So, first, you make two separate equations.
4 + x = -9 (The 4 is from Q and the -9 is from V)
-11 + y = 1 (The -11 is from Q and the 1 is from V)
Then, you subtract 4 from both sides on the first one, and subtract -11 from both sides on the second one.
You should get:
x = -13
y = 12