Answer:
{4 + 2√3, 4 - 2√3} thus the solution is A. x = 4 + 2 sqrt(3) or x = 4 - 2 sqrt(3)
Step-by-step explanation:
Solve for x over the real numbers:
(x - 4)^2 = 12
Take the square root of both sides:
x - 4 = 2 sqrt(3) or x - 4 = -2 sqrt(3)
Add 4 to both sides:
x = 4 + 2 sqrt(3) or x - 4 = -2 sqrt(3)
Add 4 to both sides:
Answer: x = 4 + 2 sqrt(3) or x = 4 - 2 sqrt(3)
Answer:
see explanation
Step-by-step explanation:
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 is the radius
given
x² + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = 
= 3
this is shown in graph b
Answer:
11:13
Step-by-step explanation:
132:156
Split in half
66:78
Again
33:39
By 3
11:13
Answer:
Step-by-step explanation:
A salt solution contains 10% salt and weights 80g.
<u>Salt content of the solution is:</u>
<u>4% solution has 8 g salt, total solution is:</u>
- 0.04x = 8
- x = 8/0.04 = 200 g
<u>Water to be added:</u>
the correct answer is $948
