The approximate middle value
1/2r -3= 3 (4-3/2r) is to be solved for r.
I'll begin by making the assumptions that by 1/2r you actually meant (1/2)r and that by 3/2r you actually meant (3/2)r. When in doubt, please use parentheses to make your meaning clear.
Thus, 1/2r -3= 3 (4-3/2r) becomes (1/2)r -3= 3 (4-(3/2)r ) .
Simplify this by multiplying all 3 terms by 2. Doing this will eliminate the fractions:
r -6 = 3 (4*2-(3)r ) or r - 6 = 24 - 9r
Now expand the right side, using the distributive property of
r - 3 = 24 - 9r
Regrouping so as to combine like terms:
10r = 30
Solving for r: r = 30/10 = 3
The value of r that satisfies this equation is 3
5^-7 * 5^12
Because the base is the same, add the exponents.
5^ (-7+12)= 5^5
Final answer: 5^5, or 3125
Answer:
197703
Step-by-step explanation:
1
9
7
7
0
3
24, 32 , 40. Divide through by 8
3, 4, 5,
The 3 , 4, 5 reminds of the Pythagorean triple, which is a right angled triangle.
So a triangle with sides 24, 32, 40 is a right angled triangle.
Option A.
