Using the Pythagorean theorem a^2 +b^2 = c^2, where a and b are the sides of a triangle and c is the hypotenuse.
BA and AC are sides and BC is the hypotenuse.
we have 23^2 + b^2 = 45^2
529 + b^2 = 2025
b^2 = 2025 - 529
b^2 = 1496
b = sqrt(1496)
b = 38.68 = 38.7
The length of AC = 38.7
3
absolute value takes the negative away
1) isolate k: 3(-4)>-k
2) combine like terms: -12>-k
3) get rid of the negative sign (NOTE WHEN YOU DIVIDE BY A NEGATIVE IN AN INEQUALITY YOU MUST FLIP THE SIGN): 12
ANSWER: 12
1 yard=3 feet so 14 feet=4 yards and 2 feet
Let the smaller one is x so the larger is x+1
x(x+1)=1332
x^2+x=1332
x^2 +x -1332 =0
(x - 36)(x + 37) =0
so x = 36 or x = -37
therefor the larger integer is either 37 or -36