Answer:
Let
a
=
8
and
b
=
8.5
Let the angle between
a
and
b
be
θ
Let the unknown side be
c
As
θ
→
0
,
88
c
→
0.5
As
θ
→
180
∘
,
88
c
→
16.5
So the lenght of side
c
will be in the interval:
0.5
<
c
<
16.6
Step-by-step explanation:
You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.
<span>
When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.</span>
<span>Positive x positive = positive
Negative x negative = positive</span>
<span>When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.</span>
<span>Positive x negative = negative
Negative x positive = negative</span>
<span>When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.</span>
<span>Positive ÷ positive = positive
Negative ÷ negative = positive</span>
<span>When you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.</span>
Answer:
The least possible number of coins the Pirate has = 81
Step-by-step explanation:
Given:
Pirate Jack has equal number of gold and silver coins.
When the pirate splits the coins into 7 equal piles he has 4 coins left.
When the pirate splits the coins into 11 equal piles he has 4 coins left.
Every pile has at least 1 coin.
To find the least possible number of coins Pirate Jack has.
Solution:
In order to find the least possible number of coins pirate Jack has, we must find the least common multiple of the number of piles the coins are split into.
So, the least common multiple of 7 and 11 can be found by listing the multiples.
So, we find the least common multiple of 7 and 11 is 77.
Number of coins left = 4
Total number of coins the pirate must have = 
We can check the answer by dividing 81 by 7 and 11. I both cases we get remainder = 4.
So, the least possible number of coins the pirate has = 81
The expressions that show different ways to rewrite
are ...
a. (4^x * 4^x) / 4^x
b. 4^x
c. (16 / 4)^x
Answer:
x=-7/4
Step-by-step explanation:
4x+7=0
4x=-7+0
4x=-7
x=-7/4
