Answer:
-2
Step-by-step explanation:
Lets factor
(x+2)(x+2)=0
x=-2
Answer:
(x + 1)² + (y + 3)² = 16
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 + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = 
= 4
Answer:
$297.41
Step-by-step explanation:
Given that:
Amount = 9270
Derferred period = 6 months = 0.5 yr
Rate = 17.95% = 0.1795
Amount = 9270(1 + 0.1795)^0.5
Amount = 9270(1.1795)^0.5
Amount = 10067.663
PV = 10067.663
Number of months, n = 48
Monthly amount to be paid :
rp = rate per period = 0.1795/12 = 0.0149583
(rp * PV) / 1 - (1 + rp)^-n
(0.0149583 * 10067.663) / 1 - (1 + 0.0149583)^-48
150.5951234529 / 0.5096723
= 295.47441
Closest option is $297.41
Answer:
z-4
Step-by-step explanation:
z(5z²-80) ÷ 5z(z+4) = z-4
Step-by-step explanation:
Given: z(5z²-80) ÷ 5z(z+4)
Calculation:
First we factor numerator z(5z²-80)
Take out 5 from 5z²-80 and we get 5z(z²-16)
Now we factor 16 = 4²
5z(z²-4²)
Using formula, (a²- b²)=(a+b)(a-b)
5z(z²- 4²)⇒5z(z+4)(z-4)
Simplified fraction
5z(z+4)(z-4) ÷ 5z(z+4)
Cancel like factor from numerator and denominator
⇒ z-4
Thus, z(5z²-80) ÷ 5z(z+4) = z-4
I assume you need find out √28=√7*4=2√7
√150=√5*5*6=5√6
hope it helps
