Answer:
First: 1/4
Second: 3/5
Step-by-step explanation:
FIRST:
You can easily solve this problem by creating a slope triangle between the points given.
1 up
———————- = 1/4
4 to the right
SECOND:
To solve for slope with two points, you do y1-y2/x1-x2.
1-4 -3
—— = — = 3/5
-3-2 -5
Answer:
360 whole circle minus the 60 you don't want =300
Step-by-step explanation:
I am going to assume ‘centimetre’ was a typo.
A^2 + B^2 = C^2
C^2 - A^2 = B^2
32 = B^2
Square root both sides
B = 5.7m high
The ladder will reach 5.7 meters high
Answer:
Step-by-step explanation:
0.1 g = 100 mg
85 mg / 100 mg = x mL / 1.5 mL
x = 1.275 mL
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 =