Answer:
There are 5 terms in the series.
Step-by-step explanation:
Take logs to get n = 5
Answer:
Step-by-step explanation:
circle A is
x²+y²+6x-4y-12=0
x²+6x +y²-4y =12
think (a+b)² = a²+2ab+b² we have a=x, b= 3
and (a-b)² = a²-2ab+b² so we have a=y, b=2
x²+6x +9 +y²-4y+4 = 12-9-4
(x+3)² +(y-2)²= -1
compare to the general equation of a circle (x-h)²+(y-k)² =r²
the center is at (-3,2) and the radius is √-1 =i
Circle B has center (0, -4) and radius 3 so the equation is
(x-0)²+(y-(-4))² =3²
x² +(y+4)² = 9
point (√8, -3) is on the circle if it verifies the equation
√8² +(-3+4)² = 9
8+1 =9 true so the point is on the circle
Circle A and circle B are not similar because they do not have the same center and radius
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
y = 5x + 2 and y = 5x – 8
m = 5 m = 5
b = 2 b = -8
When comparing equations:
1. Put in <u>slope-intercept</u> form.
2. Compare the <u>slopes and the y-intercepts</u>!
This system has <u>no solution.</u>
Because we have the same slopes and different y-intercepts.
If the slopes are the same and the y-intercepts are the same, then that system has infinitely many solutions.
If the slopes are different, then that system has one solution.
C. No Solution
<u>Explanation</u>
<u></u>
The above equation has no solution as the value of x is always mod x which means the value is always positive. Hence to make the equation true, we need value of mod x less than -4 which is not possible. Hence this equation as no solution.
Since, |x| can never be < -4 because value of |x| is always greater than or equal to, Hence this equation has no solution.
Answer with explanation:
→π is an Irrational Number.
→Decimal Representation of π is non terminating non repeating.
⇒5 π =15.70
