Solve this system:
-6r+5s+2t=-11
-2r+s+4t=-9
4r-5s+5t=-4

Step-by-step explanation:

Given the system of three linear equations:

Cheange the positions of the first and the second equations:

Multiply the first equation by -3 and add it to the second equation and then multiply the first equation by 2 and add it to the third equation:

Multiply the second equation by 3, the third equation by 2 and add them:

From the third equation,

Substitute it into the second equation:

Substitute and into the first equation:

Hence,

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: