Answer:
The next 3 numbers to the given pattern of integers is -2,-1,-1,0,-1,1,-2 are 3,-5,8
Step-by-step explanation:
Given pattern of integers is -2,-1,-1,0,-1,1,-2
To find their next 3 numbers of the given pattern :
Let
Therefore
Therefore
Similarly we have , ,
The general form to the given pattern is
for
Therefore to find the
Put n=8 in
Put n=9 in
Put n=10 in
Therefore the next 3 numbers are 3,-5,8
Answer:
c.
Step-by-step explanation:
Answer:
x=19
Step-by-step explanation:
The 2 angles are inside of a right angle. We know this because of the little square in the corner. Therefore, they are complementary angles. When they are added together, they must equal 90 degrees.
3x+11+22=90
Combine like terms by adding 11 and 22
3x+33=90
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
33 is being added to 3x. The opposite of addition is subtraction. Subtract 33 from both sides.
3x+33-33=90-33
3x=90-33
3x=57
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
3x/3=57/3
x=57/3
<u>x=19</u>
The answer is 115.
One hour is 60 minutes, so two hours would be 120 minutes.
We know the person is driving 65 mph in one hour. Keeping the same rate, the person would drive 130 miles in two hours.
BUT...
San Diego isn't 130 miles away, it is 125 miles away.
So, the person cannot drive two whole hours to get there since he would past a 125 miles.
He would ALMOST drive two whole hours (120 minutes) though, so the answer would be 115 minutes.
There's another way to solve this problem, but this is more intuitive, in my opinion. Anyways, good luck, and if you have anymore questions then ask me.