A 25 foot ladder is leaning against a building. The building is 20 feet high. How far away from the building is the bottom of the ladder

15 ft

Step-by-step explanation: To solve this, you have to use the Pythagorean Theorem. The 25 ft is the hypotenuse, the longest side of the triangle. the building's height, 20 ft is one of the legs. The missing measurement is one of the other legs.

Pythagorean Theorem: A^2 + B^2 = C^2

A and B are legs and C is the hypotenuse.

Substitute the values:

20^2 + B^2 = 25^2

400+ B^2 = 625

625 - 400 = 225

225 = 15^2

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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.