Answer:
(x-9) (x-3)
Step-by-step explanation:
x^2 -12x +27
What 2 numbers multiply to 27 and add to -12
-9* -3 = 27
-9-3 = -12
(x-9) (x-3)
Answer:
GH=15
Step-by-step explanation:
HK= FK/2= 16/2= 8
Using pythagoras theorem in triangle GHK,
GH²= GK²-HK²
= 17²-8²
= 225
GH= √225
=15
Answer:
128√5/3 mm³
Step-by-step explanation:
Since we are not told what to find, we can as well look for the volume of the pyramid
Volume of a square pyramid: V = (1/3)a²h
a is the side length of the square
h is the height of the pyramid
Given
a = 8mm
l² = (a/2)² + h²
l² = (a/2)² + h²
6² = (8/2)² + h²
h² = 6² - 4²
h² = 36 - 16
h² = 20
h = √20
Volume of a square pyramid = (1/3)*8²*√20
Volume of a square pyramid = 1/3 * 64 * 2√5
Volume of a square pyramid = 128√5/3 mm³
Y + R + V = 42
but 4 YEARS AGO : (R-4) +(V-4) = Y
Replace Y in the 1st equation by: (R-4) +(V-4)
(R-4) +(V-4) + R + V = 42
2R - 2V - 8 = 42; 2R -2V = 50, or R+V=25
IF R+V =25 AND Y + R +V = 42, then Y + 25 = 42 and Y =17
Answer:
Option 4.7% = 3,500 x 4.7% =$164.50 simple annual interest.
82.25 this is what Scott will pay in 6 months at simple interest.
Option 4.2% =3,500 x (1 +0.042/12)^6 =3,500 x 1.0035^6=$3,574.15.
3,500 =$74.15 this is what Scott will pay in 6 months at compounded interest.
The compound option is cheaper by: 74.15 =$8.10.
