Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
36pi = 4/3 * pi * r^3
27 = r^3
r = 3 in
Answer:
a) area = side²
225 in² = side²
side = √225 = 15 inches
b) 15 inches per side x 4 sides x $1.35 per inch = $81.00
Step-by-step explanation:
Answer:
yes that is right
Step-by-step explanation:
Answer:
a: K = 2s
K + s = 42
b: 2s + s = 42
K = 28
s = 14
Step-by-step explanation:
1. Come up with equations based on the information given.
K = Kim
s = sister
Kim is twice of her sister -> K = 2s
When you add Kim's age to her sister's age, you get 42 -> K + s = 42
2. Substitue for K to find out the value of s
K = 2s
2s + s = 42
3. Solve for s
s = 42/3
s= 14
4. Solve for K
K = 2s
K = 2*14
K = 28