We have to minimize

\(d = x^2 + (5x+2)^2\)

\(d' = 2x+ 10(5x+2) = 0\)

\(52x = -20\)

\(x=-\frac{10}{26} =-\frac{5}{13}\)

\(y = \frac{1}{13}\)

\((-\frac{5}{13} , \frac{1}{13})\)

asked 2020-10-26

Determine the value of k for which the point (- 2, 3) lies on the line whose equation is .

\(4x+3ky=10\)

asked 2021-02-12

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

\(y=-3\)

asked 2020-10-23

Line 1: \(y=−5\)

Line 2: \(4y−16x=−1\)

Line 3: \(x=−6\)

Line 4: \(y+5=4(x+1)\)

asked 2021-01-31

1) \(-n+9n+3-8-8n\)

2) \(3(-4x+5y)-3x(2+4)\)

3) \(5-4y+x+9y\)

4) \(-2x+3y-5x-(-8y)\)

asked 2021-02-09

What is the process to solve these:

Vertex, \(y-\int\)., \(x-\int\), graph \(= -(x+1)^2+1\)

asked 2020-12-03

asked 2021-06-10

\(f(x) = x^2\)

to find a number \((\delta)\) such that

if \(|x - 1| < (\delta)\) then \(|x^2-1| < \frac{1}{2}\)

(Round your answer down to three decimal places.)

\((\delta) =\)

asked 2021-05-30

asked 2021-05-05

Find the solution of the initial-value problem. \(y'' + 81y = 0, y(0) = 1, y'(0) = −1\)

asked 2021-02-22

How to complete the table with the equation \(y=10x-4\)