- 3y + 4x = 25, x^2 + y^2 = 25.
Please show me the full steps to solve this using the any simultaneous equation method (substitution, elimination, addition, etc). Thanks.
Answer by TomV
solve the first equation for y in term of x: 3y + 4x = 25 y = (25-4x)/3 y² = (25-4x)²/9 Substitute for y² in the second equation: x² + (25-4x)²/9 = 25 9x² + (25-4x)² = 225 Now expand this and you'll have a quadratic equation in x which you can solve for x (2 values probably). Substitute each of those values of x into the first equation and solve for the corresponding value of y. 9x² + 625 - 200x + 16x² = 225 25x² - 200x + 400 = 0 x² - 8x + 16 = 0 (x-4)² = 0 x = 4 (multiplicity 2) 3y + 4(4) = 25 3y = 25-16 = 9 y = 3 Solution (4,3) The two equations describe a circle of radius 5 centered on the origin, and a line tangent to the circle at the point (4, 3). There is only one distinct solution because the line is tangent at a point instead of intersecting the circle at two points. And there you have it.
- I am doing a venn diagram on linear and quadratic functions. I need to provide information on what happens to the y value as the x value gets really big (gets closer to positive infinity) and what happens to the the y value as x gets really negative (gets closer to negative Infinity). I know that with the quadratic function when A increases the parabola becomes narrow and when A decreases the parabola becomes wider, but I do not know what happens with the linear function. Your help is greatly appreciated!
Answer by ◇〶ゑぶ╋だしιての〶◆ 【☯ⒹⒿ☯】サふひウのトの ナんミ モヱねヨモロメ しもウもわつ™
It all depends on the functions. If a 0, then y value increases. If the slope of the linear equation is positive, then y value increases. If negative, then y value decreases. I hope this helps!
- How would you write a Y-intercept slope equation given the slope and one cordinate. Please help!
Answer by ilyssaruss
http://www.math.com/school/subject2/lessons/S2U4L2GL.html So essentially plug the coordinate into a regular equation with the slope to find the rest of the y-intercept equation.
I need a plumber to come over to my house, and fix a huge problem that I have in my well room. I came home today and went into my room, which is adjacent to the well room. When I walked into the door, I heard a loud hissing sound that kind of sounded like spraying water. There was in fact a lot of spraying water in the well room, and I quickly turned off the water. Now, I need to find a plumber in essex county nj that can come over to my house, and fix the problem as soon as possible, so that I will be able to have water in my house again.
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