Answer:
k = -3
Step-by-step explanation:
log7(-5k - 3) = log7 (-4k)
---> -5k - 3 = -4k
-k - 3 = 0
k = -3
Commutative property of addition
Answer:

Step-by-step explanation:
ST = w + 6,
PR = w
From the diagram given, we can deduce that PR is the midsegment of ∆QST. Therefore, according to the midsegment theorem:
PR = ½ of ST
Plug in the values into the equation and solve for w.

(distributive property of equality)
(subtraction property of equality)
(multiplication property of equality)

(subtraction property of equality)

Divide both sides by -1


Answer:
5mm
Step-by-step explanation:
using the formula of volume of cone i.e. 1/3 ×πr²h
1/3 × πr²h = 314
or, r²= (314×3)/ (π×h)
or, r² = 25
r= 5 mm