(7^x)^4 is equal to 7^(4x).
7^2 * 7^3 is equal to 7^(2+3) which is equal to 7^5.
7^5 / 7^(3x) is equal to 7^(5 - 3x).
you wind up with 7^(4x) is equal to 7^(5 - 3x)
this is true if and only if 4x = 5 - 3x.
Answer:
pkease right the question properly please
Answer:
To find your heart rate you would, D. 220 - your age
Step-by-step explanation:
You can calculate your maximum heart rate by subtracting your age from 220. For example, if you're 45 years old, subtract 45 from 220 to get a maximum heart rate of 175. This is the average maximum number of times your heart should beat per minute during exercise
Answer:
centre = (2, - 1), radius = 6
Step-by-step explanation:
Rearrange the equation by placing the x and y terms together and adding 31 to both sides
Given
x² + y² - 4x + 2y - 31 = 0, then
x² - 4x + y² + 2y = 31
Use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1
(x - 2)² + (y + 1)² = 36
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
compare to (x - 2)² + (y + 1)² = 36, then
centre = (2, - 1) and r =
= 6