# algebra

posted by .

find the possible values of a, if the distance between the points is 5, and the coordinates are (1,1) and (4,a)

• algebra -

d^2 = (a-1)^2 + 9 = 25

a^2 -2a + 10 = 25
a^2 - 2a = 15
a^2 - 2a - 15 = 0

a = [ 2 +/- sqrt(64))/2
a = 2+/- 8
a = 10 or -6

## Similar Questions

1. ### Algebra

Find the distance between (7,0) and (-7,0) The y coordinates of the two points are the same, and the difference in x coordinates is 7 - (-7) = 14. What does that tell you about the direction and length of the line connecting the two …
2. ### math

Alright, let's say you want to get from one point to another, in a 3D box. all points have an x, y and z coordinate. Point A has coordinates (25,30,5) while Point B has coordinates (50,26,18). The only given variable other than the …
3. ### ALGEBRA

Find the distance between two points which have the coordinates of (5,1) and (8, 5).
4. ### Algebra

Need help with these-- 21. Find the possible values of a, of the distance between the points is 5, and the coordinates are (1, 1) and (4,a) 22. The Pythagorean Theorem works only for _______ triangles. Right?

1. Find the distance between the pair of points. Round to the nearest tenth is necessary. (-13, -8) and (6, 17) a. 11.4 b. 12.1 c. 31.4 d. 23.7 is the answer c?
6. ### Algebra

Find the possible values of a, if the distance between the points is 5, and the coordinates are (1,1) and (4,a) I'm not quite sure how to do this one.. I've tried the distance and midpoint formula, but I'm confused. I don't what to …
7. ### Algebra

I can not figure these out for the life of me. Any help is appreciated. 1. Find the final amount of an investment if \$2,000 is invested at an interest rate of 8% compounded quarterly for 8 years. I used interest formula and came up …
8. ### c++

Distance between two 3-D points. Given two points in space (3-dimensional), find the distance between them. The user will input the coordinates (x,y,z) of the two points and your program will calculate and display the distance between …
9. ### Pre-calculus HELP PLEASE !

Find the coordinates of the center of the ellipse represented by 4x^2 + 9y^2 – 18y – 27 = 0. For 2x^2 + xy + 2y^2 = 1, find , the angle of rotation about the origin, to the nearest degree. Find the distance between points at (–1, …