Answer:
a = 
Step-by-step explanation:
Given:
f(x) = log(x)
and,
f(kaa) = kf(a)
now applying the given function, we get
⇒ log(kaa) = k × log(a)
or
⇒ log(ka²) = k × log(a)
Now, we know the property of the log function that
log(AB) = log(A) + log(B)
and,
log(Aᵇ) = b × log(A)
Thus,
⇒ log(k) + log(a²) = k × log(a) (using log(AB) = log(A) + log(B) )
or
⇒ log(k) + 2log(a) = k × log(a) (using log(Aᵇ) = b × log(A) )
or
⇒ k × log(a) - 2log(a) = log(k)
or
⇒ log(a) × (k - 2) = log(k)
or
⇒ log(a) = (k - 2)⁻¹ × log(k)
or
⇒ log(a) = 
(using log(Aᵇ) = b × log(A) )
taking anti-log both sides
⇒ a =
Answer:
m<ACD = 
Step-by-step explanation:
From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.
In the triangle ACD:
<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)
<ACD + 40 + 90 = 180
<ACD + 130 = 180
<ACD = 180 - 130
<ACD =
With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is .
I would say B with my answer. You'd divide 570 by 19 then multiply by 8.
Answer:
28
Step-by-step explanation:
14 + 14 = 28
Answer:
h = -t+20
After 8 hours the candle will be 12 inches
Step-by-step explanation:
We have 2 points (time, inches)
(3,17) and (5,15)
We can find the slope
m = (y2-y1)/(x2-x1)
= (15-17)/(5-3)
= -2/2
= -1
We can use point slope form
y-y1 = m(x-x1)
Replace y with h and x with t
h-17 = -1 (t-3)
Distribute
h-17 = -t+3
Add 17 to each side
h-17+17 = -t+3+17
h = -t+20
After 8 hours
h = -t+20
h = -8+20
h= 12
