Answer:
Ok ok, I see. So the answer is -9.
Step-by-step explanation:
We know the expresion is:
-3(-2+5)
We need to distrubute the -3 to what is in the parthese.
When I say distribute, basically you need to multiply the numbers inside the parethese by -3. So we can think of it as:
-3*-2=6
and:
-3*5=-15
Which we can rewrite as:
(6-15)
Subtract 15 from 6 and you get -9:
6-15=-9
Sorry hope this helps!
Use one of the many Trigonometric ratios to solve for the missing angle and then use Pythagorean theorem to solve for the missing side.
These things can be done in any order.
Answer:
6 billion years.
Step-by-step explanation:
According to the decay law, the amount of the radioactive substance that decays is proportional to each instant to the amount of substance present. Let 
be the amount of 
and 
be the amount of 
after 
years.
Then, we obtain two differential equations
where 
and 
are proportionality constants and the minus signs denotes decay.
Rearranging terms in the equations gives
Now, the variables are separated, 
and 
appear only on the left, and appears only on the right, so that we can integrate both sides.
which yields
,
where 
and 
are constants of integration.
By taking exponents, we obtain
Hence,
,
where 
and 
.
Since the amounts of the uranium isotopes were the same initially, we obtain the initial condition
Substituting 0 for in the general solution gives
Similarly, we obtain 
and
The relation between the decay constant 
and the half-life is given by
We can use this fact to determine the numeric values of the decay constants and . Thus,
and
Therefore,
We have that
Hence,
Solving for yields 
, which means that the age of the universe is about 6 billion years.
The change in the y-variable would be decrease of 3.
The correct answer between all the choices given is the third choice or
letter C. I am hoping that this answer has satisfied your query about and it
will be able to help you.
So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter
Hope this helped!
