Answer:
c
Step-by-step explanation:
Answer:
62 degrees
Step-by-step explanation:
Since we know 3 sides of the triangle, we can use law of cosines.
![{gk}^{2} = {gh}^{2} + {kh}^{2} - 2(gh)(kh) \times \cos(h)](https://tex.z-dn.net/?f=%20%7Bgk%7D%5E%7B2%7D%20%20%3D%20%20%7Bgh%7D%5E%7B2%7D%20%20%2B%20%20%7Bkh%7D%5E%7B2%7D%20%20-%202%28gh%29%28kh%29%20%5Ctimes%20%20%5Ccos%28h%29%20)
![{8}^{2} = {17}^{2} + {15}^{2} - 2(17(15) \times \cos(h)](https://tex.z-dn.net/?f=%20%7B8%7D%5E%7B2%7D%20%20%3D%20%20%7B17%7D%5E%7B2%7D%20%20%2B%20%20%7B15%7D%5E%7B2%7D%20%20-%202%2817%2815%29%20%5Ctimes%20%20%5Ccos%28h%29%20)
![64 = 289 + 225 - 510 \times \cos(h)](https://tex.z-dn.net/?f=64%20%3D%20289%20%20%2B%20225%20-%20510%20%5Ctimes%20%20%5Ccos%28h%29%20)
![64 = 314 - 510 \times \cos(h)](https://tex.z-dn.net/?f=64%20%3D%20314%20-%20510%20%5Ctimes%20%20%5Ccos%28h%29%20)
![- 250 = - 510 \times \cos(h)](https://tex.z-dn.net/?f=%20-%20250%20%3D%20%20-%20510%20%5Ctimes%20%20%5Ccos%28h%29%20)
![\frac{250}{510} = \cos(h)](https://tex.z-dn.net/?f=%20%5Cfrac%7B250%7D%7B510%7D%20%20%3D%20%20%5Ccos%28h%29%20)
![\frac{25}{53} = \cos(h)](https://tex.z-dn.net/?f=%20%5Cfrac%7B25%7D%7B53%7D%20%20%3D%20%20%5Ccos%28h%29%20)
Take the arcos or cosine inverse
![\cos {}^{ - 1} = \frac{25}{53}](https://tex.z-dn.net/?f=%20%5Ccos%20%7B%7D%5E%7B%20-%201%7D%20%20%3D%20%20%5Cfrac%7B25%7D%7B53%7D%20)
Which is about 62 degrees.
-2x-2 simply by adding common factors
Answer:
From the given graph, we can easily determine that graph A contains the y-intercept b = 3.
Thus, option A is the correct option.
The graph of the equation is also attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
where
Given the function
2x+5y=15
converting the equation into the slope-intercept form
5y = -2x + 15
divide both sides by 5
y = -2/5x + 3
Thus,
The slope of the line is: m = -2/5
The y-intercept of the line: b = 3
In other words, the ordered pair (0, 3) represents the y-intercept.
From the given graph, we can easily determine that graph A contains the y-intercept b = 3.
Thus, option A is the correct option.
The graph of the equation is also attached below.