SOLUTION: wk...6ex Problem #8 Solve: radical (y+16) = 1 Problem #9 Find the length x in the trianlge. Express your answer in simplified radical form. Hight 20cm Legnth 15cm Hyp

Algebra ->  Radicals -> SOLUTION: wk...6ex Problem #8 Solve: radical (y+16) = 1 Problem #9 Find the length x in the trianlge. Express your answer in simplified radical form. Hight 20cm Legnth 15cm Hyp      Log On


   

Question 75994: wk...6ex
Problem #8
Solve:
radical (y+16) = 1
Problem #9
Find the length x in the trianlge. Express your answer in simplified radical form.
Hight 20cm
Legnth 15cm
Hypotenuse x
Problem #10
Find the distance between (-7,7) and (2,-5)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Problem #8
Solve:
radical (y+16) = 1
sqrt%28y%2B16%29=1
%28sqrt%28y%2B16%29%29%5E2=%281%29%5E2
y%2B16=1
y%2B16-16=1-16
highlight%28y=-15%29
Check to make sure it's not extraneaous:
sqrt%28-15%2B16%29=1
sqrt%281%29=1
1=1 The solution is valid.
:
Problem #9
Find the length x in the trianlge. Express your answer in simplified radical form.
The pythagorean theorem is highlight%28c%5E2=a%5E2%2Bb%5E2%29, where c=hypotenuse and a and b are the legs of a right triangle
Hight 20cm
Legnth 15cm
Hypotenuse x
x%5E2=%2820%29%5E2%2B%2815%29%5E2
x%5E2=400%2B225
x%5E2=625
sqrt%28x%5E2%29=sqrt%28625%29
highlight%28x=25%29
The hypotenuse is 25 cm.
:
Problem #10
Find the distance between (-7,7) and (2,-5)
The distance formula is based on the pythagorean theorem: highlight%28d=sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29%29
(x1,y1)=(-7,7) and (x2,y2)=(2,-5)
d=sqrt%28%282-%28-7%29%29%5E2%2B%28-5-7%29%5E2%29
d=sqrt%28%282%2B7%29%5E2%2B%28-5-7%29%5E2%29
d=sqrt%28%289%29%5E2%2B%28-12%29%5E2%29
d=sqrt%2881%2B144%29
d=sqrt%28225%29
highlight%28d=15%29
:
Happy Calculating!!!!