Answer:
The geometric mean of the measures of the line segments AD and DC is 60/13
Step-by-step explanation:
Geometric mean: BD² = AD×DC
BD = √(AD×DC)
hypotenuse/leg = leg/part
ΔADB: AC/12 = 12/AD
AC×AD = 12×12 = 144
AD = 144/AC
ΔBDC: AC/5 = 5/DC
AC×DC = 5×5 = 25
DC = 25/AC
BD = √[(144/AC)(25/AC)]
BD = (12×5)/AC
BD= 60/AC
Apply Pythagoras theorem in ΔABC
AC² = 12² + 5²
AC² = 144+ 25 = 169
AC = √169 = 13
BD = 60/13
The geometric mean of the measures of the line segments AD and DC is BD = 60/13
Answer: see below
<u>Step-by-step explanation:</u>
The coordinates on the Unit Circle are (cos, sin). Since we are focused on cosine, we only need to focus on the left side of the coordinate. The cosine value (left side) will be the y-value of the function y = cos x
Use the quadrangles (angles on the axes) to represent the x-values of the function y = cos x.
Quadrangles are: 0°, 90°, 180°, 270°, 360° <em>(360° = 0°)</em>
Together, the coordinates will be as follow:
Answer:
x=2 , y = 1
Step-by-step explanation:
x + 2(2x-3) = 4
x+4x-6=4
5x-6=4
5x= 10
x=10/5
x=2
subs x=2 into x +2y=4
2+2y=4
2y=2
y=2/2
y=1
Answer:
10=x
Step-by-step explanation:
-5x+40= 6x-70
-5x+110=6x
110=11x
10=x