Graph x^2 + 5y^2 = 30 which is an ellipse and graph x+y = c, where c is a parameter. x+y = c is a family of lines such as x+y=1, x+y=1.5, x+y=1.8, etc. Here is an interactive Desmos graph where you can move the slider around for c.

2013年8月8日 · The easiest way to factor a quadratic equation ax 2 + b x + c is to use the quadratic formula. What you are doing is assuming the equation is set equal to zero and then solving for the different values of x that would make this a true statement.

symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x – 1). Order of Operations

2014年4月27日 · Because both equations are true are answers is correct and the two numbers are -16 and -14. If you have problems remembering the adding a negative and subtracting a negative then just remember the multiplying rule that any two signs alike multiplied are positive and any two signs not alike that are multiplied are negative and then just imagine an imaginary …

2015年2月21日 · The area of the triangle is 5cm^2. find the base, to the nearest tenth. Answers · 1 One pool is 4m wide, another is 6m longer than the first. the width of the 2nd pool is equal to the length of the first, find the are of pool 2

2022年2月15日 · The product of two positive real numbers x and y is 30. x*y = 30. Find the minimum possible value of their sum. Sum = S = x + y *solve the first equation for either x or y then substitute into the second equation. y = 30 / x. S = x + (30/x) *Derive S, then set S' equal to zero. S' = 1 - 30/x^2. 0 = 1 - 30/x^2 *Solve for x. 30/x^2=1. 30=x^2. x ...

The x coordinate of the vertex is 30. The y coordinate of the vertex is k, which is defined as k = f(h) For this problem, k = f(30) In other words, we plug in x = 30 to find the y coordinate of the vertex. Replace every x with 30; use PEMDAS to simplify We see that k = 2500, meaning the y coordinate of the vertex is 2500. The vertex is at (h,k ...

1+1/x-30/x^2=0 Multiply each side by the common denominator, in your case, x^2: x^2+x-30=0 Factor: (x-6 ...

Question 1038096: the broadcast area of a television station is bounded by the circle x^2+y^2=3600, where x and y are measured in miles. a translator station picks up the signal and re-transmits it from the center of a circular area bounded by (x+30)^2+(y-40)^2=1600. Find the location of the translator and the greatest distance from the main ...

2020年7月13日 · x. x + 30. The function to be minimized is. y = x(x + 30) = x 2 + 30x. Note that y describes a parabola, whose minimum is at the vertex, where. x = -30/2 = -15. x + 30 = -15 + 30 = 15. y min = -15(15) = -225