Answer:
x=8,10if this helps then your welcome if not I apologize
C = 2 pi r
C = 2 x 3.14 x 5
C = 31.4 yd
A = pi r^2
A = 3.14 x 5^2
A = 3.14 x 25
A = 78.5 yd^2
Answer:
b. an = 2 • (-3)^(n - 1)
Step-by-step explanation:
Before we test a solution or two, we can easily discard most of them.
We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). <u>That already excludes answers A and C.</u>
Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.
We can test both D and B with n = 2, to obtain -6
Let's test answer D before:

The result is -54, not -6... so it's not the right result.
Let's test answer B then:

Right! Let's verify with n=5 to get 162:

Confirmed, answer is B. an = 2 • (-3)^(n - 1)
Answer:
Therefore either a:b = 5:4 or a:b=-5:4
Step-by-step explanation:
ax²-5bx+4a=0
Since the quadratic equation has two real root.
Then b²-4ac>0
Here a= a , b= -5b and c=4a
∴(-5b)²-4.a.4a=0
⇔25b²=16a²
⇔5b=±4a

Therefore either a:b = 5:4 or a:b=-5:4