Question

Describe the locus of points whose coordinates satisfy both statements:
x2 = 49
x2 + y2 = 85

Answer 1

x^2+y^2=r^2
7^2+y^2=85
y^2=85-49
y=√36
y=±6

Answer 2

What next?

Answer 3

is the first equation only x^2=49?? no y component??

Answer 4

so u get only four points on a circle with radius sqrt(85)
the points are (+-7,+-6)

Answer 5

u can't find locus here only u can find the solution...

Answer 6

this is what the thing on my worksheet says. :(

Answer 7

x=+-7 and y= +-6

Answer 8

how did you find x±7?

Answer 9

just satisfy the eqn x=+-7 with x^2 = 49

Answer 10

thank you

Answer 11

(7,6), (-7,6), (7,-6),(-7,-6)

Answer 12

all the points above satisfy your equation....They are vertices of a rectangle ;)

Answer 13

thank you!!!