Answer:
24
Step-by-step explanation:
1 / 4 x + 18 = x
x / 4 + 18 = x
x = x / 4 + 18
x - x / 4 = 18
( 4x / 4 ) - ( x/4 ) = 18
( 4x - x ) / 4 = 18
3x / 4 = 18
3x = 18 * 4
x = ( 18 * 4 ) / 3
= 6 * 4
x = 24
Answer: 
Step-by-step explanation:
If you took the nth root of x, it is the same as raising x to the power of 1/n. Therefore:
![\sqrt[7]{x^{2} } = (x^{2} )^{1/7} = (x^{\frac{2}{7}})\\\sqrt[5]{x^{3} } = (x^{3} )^{1/5} = (x^{\frac{3}{5}})](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B2%7D%20%7D%20%20%3D%20%28x%5E%7B2%7D%20%29%5E%7B1%2F7%7D%20%3D%20%28x%5E%7B%5Cfrac%7B2%7D%7B7%7D%7D%29%5C%5C%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%20%7D%20%20%3D%20%28x%5E%7B3%7D%20%29%5E%7B1%2F5%7D%20%3D%20%28x%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%29)
And multiply:
The distance from the outside edge of a circle to its centre is given by its radius. The circumference of a circle is given by 2πr, thus if we know that this is equal to 75 feet and using π = 3.14, we get:
75 = 2*3.14*r
r = 11.942
Thus r = 12 ft (to the nearest foot)
Answer:
c = - 2, c = 7
Step-by-step explanation:
Given
c² - 14 = 5c ( subtract 5c from both sides )
c² - 5c - 14 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 14) which sum to give the coefficient of the c- term (- 5)
The factors are - 7 and + 2, since
- 7 × 2 = - 14 and - 7 + 2 = - 5, hence
(c - 7)(c + 2) = 0
Equate each factor to zero and solve for c
c - 7 = 0 ⇒ c = 7
c + 2 = 0 ⇒ c = - 2
