Answer:
radius = 5
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
Here r² = 25 ( take the square root of both sides )
r = 
= 5
Y - 3 = 4x + 8
y = 4x + 11
slope = 4
Answer:
x = 2 + √2
x = 2 - √2
Step-by-step explanation:
- x² + 2x + 1 = 0
x² - 2x - 1 = 0
Here,
a = <em>1</em>
b = <em>- 2</em>
c = <em>- 1</em>
Now,
Discriminant
D = b² - 4ac
= (-2)² - 4(1)(-1)
= 4 + 4
= 8
=2√2 > 0
<em><u>Real and </u></em><em><u>D</u></em><em><u>istinct roots </u></em>
x = - b +- √b² - 4ac/2a
= - (-2) +- √ = (-2)² - 4(1)(-1)/2(1)
= 2 +- √4 + 4/2
= 2 +- √8/2
= 2 +- 2√2/2
= 2 +- √2
x = 2 + √2 or x = 2 - √2
Answer:
The new store will have a profit of $5400 after its fifth month.
(R-C)(x) = (x²+5x+14)-(x²-4x+5) = x²-x²+5x--4x+14-5 = 5x+4x+14-5=9x+9
(Use 5 for x)
(R-C)(5) = 9(5) + 9 = 45+9 = 54
