An=a1r^(n-1)
given
a5=1/24
a10=1/768
we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)
so
1/24=a1r^4
1/768=a1r^9
(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32
r^5=1/32
take 5th root of both sides
r=1/2
we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3
the first term is 2/3
Answer:
14.4 miles
Step-by-step explanation:
5 goes into 18 3.6 times and 3.6 x 4 = 14.4, she can run 3.6 miles per hour
<span>slope
m = (1 - 1)/(0 + 2) = 0
(x1, y1) as (-2, 1)
</span><span>point-slope form</span><span>
y - y1 = m(x - x1)
y - 1 = 0(x + 2)
y - 1 = 0
y = 1</span>
Step-by-step explanation:
a)42
b) triangle and Parallelogram
c) for triangle: (base× height)÷2
for Parallelogram: (base×height)
d) triangle: (6×6)÷2=18
Parallelogram: 6×4=24
18+24=42
if it is unclear or you need more explanation, ask freely. if the answer is correct please give me brainliest i need 3 brainliests
Step-by-step explanation:
Let, 1st number be x and 2nd number be y
Then,
equation 1
x = 16+y
equation 2
x + y = 120
or, y = 120 - x
now,
x = 16 + y
or, x= 16 + 120 - x (putting the value of y from equation 2 )
or, x + x = 136
or, 2x =136
or, x= 136/2
or, x =68
Then,
y = 120-x
or, y= 120- 68 (putting the value of x)
or, y= 52
Hence, the two numbers are 68 and 52.
