Answer:
73>16
Step-by-step explanation:
Answer:
there's no picture, repost with a picture or more details
Answer:
A) See below. The solution is y=x+1.
B) I chose the method of graphing because it is quick and easy. When there are integer solutions to the equations, they are generally easy to read from the graph. In this case, the system is dependent, so both equations graph as the same line.
Step-by-step explanation:
A) If you divide the first equation by 5, you get ...
... x = y - 1
If you add 1 to this equation, you get ...
... y = x + 1 . . . . . the same as the second equation.
Both of these equations graph as the same line. The solution set is all points on the line y=x+1.
B) Your sentences are above. (I keep the Desmos graphing calculator open in my browser all the time, so graphing is very fast.)
That's the distance formula, which is the Pythagorean Theorem applied to the points.
The distance between (a,b) and (c,d) is ![\sqrt{(a-c)^2+(b-d)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28a-c%29%5E2%2B%28b-d%29%5E2%7D)
a-c is the signed distance in the x direction between the points. b-d is the signed distance in the y direction between the points. Since the axes are perpendicular, these make a right triangle whose hypotenuse is the distance between the points.
Here that just means our distance is
![d = \sqrt{(1 - -3)^2 + (2 - 3)^2} = \sqrt{4^2+1^2}=\sqrt{17} \approx 4.12](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%281%20-%20-3%29%5E2%20%2B%20%282%20-%203%29%5E2%7D%20%3D%20%5Csqrt%7B4%5E2%2B1%5E2%7D%3D%5Csqrt%7B17%7D%20%5Capprox%204.12)
Answer: B 4.1 units