Answer:
x = 8
Step-by-step explanation:
To get x, we will use the pythagoras theorem;
10² = x² + (12/2)²
100 = x² + 6²
100 = x² + 36
100 - 36 = x²
64 = x²
Swap
x² = 64
x =√64
x = 8
Hence the value of x is 8
So first distribute the 8 out then add everything together:
y-8y-96+4 = -7y-92
Let the third side = x.
The sum of any two sides must be greater than the third side
14 + 9 > x
23 > x
14 + x > 9
x > -5
9 + x > 14
x > 5
So 5 < x < 23
Answer:
C = 34 degrees, A=8.6 feet
Step-by-step explanation:
Use sine law:
![sin^{-1} [12(\frac{sin122}{18})]= C](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%20%5B12%28%5Cfrac%7Bsin122%7D%7B18%7D%29%5D%3D%20%20C)
C = 34 degrees
Now that you have the C and B degrees, solve for A degrees
180 - 34 - 122 = 24 degrees for angle A
Same way as above use sine law to find the side for a now:
A=8.6 feet
** Thing to note is that you can rearrage the sine formula to have either the legnth or the angle on top. It's pretty straightforward, find the angles you do have and then work from there. If sine law doesnt work with your example, use cosine law. and work backwards. Wish you luck.
Answer:
The Answer is: y = -2x + 4
Step-by-step explanation:
The given equation for a line:
y = 1/2x + 5
The given point: (3, -2)
The slope is 1/2
The slope of a perpendicular line is the negative inverse: -2
Use the point slope equation for a line:
y - y1 = m(x - x1)
y - (-2) = -2(x - 3)
y + 2 = -2x + 6
Subtract 2 from each side:
y = -2x + 4
