The answer is: 42. use order of operations
A----------D----------C
AD = 2x + 6
DC = 4x - 7
the midpoint D splits AC into 2 equal parts....therefore, AD = DC
2x + 6 = 4x - 7
2x - 4x = -7 - 6
-2x = - 13
x = -13/-2
x = 6.5
DC = 4x - 7......4(6.5) - 7 = 19 <===
AD = 2x + 6.....2(6.5) + 6 = 19
Answer:
125 = 5 * 5 * 5 = 5^3
Step-by-step explanation:
125 is equal to 5 times 5 times 5, and a power is a way to write repeated multiplication, just by saying what number it is and the putting a ^ sign and then saying how many times there is that number. There is 5 three times, so the power is 5^3.
441 is odd, so we can't divide it by 2.
Since the sum of its digits is 
, which is divisible by 3, we can divide 441 by 3, and we have
Which is still divisible by 3, because 
. We have
49 is not divisible by 3 anymore, nor by 5 (it doesn't end with 0 or 5).
It is divisible by 7 though, we have
and finally,
So, the factorization of 441 is
Answer:
13 2/5
Step-by-step explanation:
a = 2 and b = -3
so the question asks whats.... a^3 - b^3/5
First we plug in the values of a and b
(2)^3 - (-3)^3 /5
Now we solve the ones in paranthesis first
(2)^3 = 8 because 2×2×2 and
-(-3)^3 forget about the - outside the parenthesis so
(-3)^3 = (-27) because (-3)×(-3)×(-3)
now we put it back together
8 -(-27)/5
the two minus become plus so
8 + 27/5
Now we solve it like fractions
8 and 27/5
simplify
13 and 2/5
Hope that helps!
