Answer:
x = -2y
Step-by-step explanation:
Step 1. x + 2y = 0
Step 2. x + 0 = -2y
Step 3. x = -2y
Answer:
1256 cm
Step-by-step explanation:
First we must find the perimeter, because the perimeter is equal to 1 revolution.
The perimeter of any circle is Pi(Diameter)
3.14*20
62.8 cm is the perimeter of the bike wheel.
Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:
1256 cm
Answer:
Average rate of change for the number of African American women who held office at any given time between 1970 & 1993 is 94.43.
Step-by-step explanation:
Here, according to the question:
Number of African American women in elected public office in the United States in the year 1970 = 160
Number of African American women in elected public office in the United States in the year 1993 = 2332
Now, the change in the number of elected women between 1970 & 1993
= Women elected in the year 1993 - Women elected in the year 1970
= 2332 - 160 = 2,172
or, the change in the number of elected women candidates between 1970 & 1993 is 2,172
Now, the difference in the time period is 1993 - 1970 = 23 years
So, 
Hence, the average rate of change for the number of African American women who held office at any given time between 1970 & 1993 is 94.43.
Answer:
x = 10
Step-by-step explanation:
OA = OD ( both radii of the circle )
OD = OB + BD = x + 16
OB is at right angles to OB ( line from centre to midpoint of chord is right )
Using Pythagoras' identity in right triangle ABO
OA² = OB² + AB² , that is
(x + 16)² = x² + 24²
x² + 32x + 256 = x² + 576 ( subtract x² from both sides )
32x + 256 = 576 ( subtract 256 from both sides )
32x = 320 ( divide both sides by 32 )
x = 10