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Naily [24]
2 years ago
9

(geometry) i would appreciate help please

Mathematics
2 answers:
Leto [7]2 years ago
8 0
63 would be the answer. :)
goldfiish [28.3K]2 years ago
5 0

Answer:

63

Step-by-step explanation:

We are taking a dilation of 3, so that means we are multiplying by 3. We multiply 3 to 21 to get 63.

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6. Let A and B be nxn matrices . Compute (A + B) (A + B). Explain all steps.
Pie

Answer:

(A+B)(A+B)=A.A+B.A+A.B+B.B

Step-by-step explanation:

Given that matrices A and B are nxn matrices

We need to find (A+B)(A+B)

For understanding the multiplication of matrices let'take A is mxn and B is pxq matrices,we can multiple only when n=p,so our Ab matrices will be mxq.

We know that that in matrices AB is not equal to BA.

Now find  

(A+B)(A+B)=A.A+B.A+A.B+B.B

So from we can say that (A+B)(A+B) is not equal to A.A+2B.A+B.B because AB is not equal to BA in matrices.

So (A+B)(A+B)=A.A+B.A+A.B+B.B

4 0
2 years ago
There are 7800 grams of lodine that have a half-life of 8 days. How much lodine will remain after 40 days?
anygoal [31]

Given that we know the initial mass of Iodine and its half-life, we want to see how much will remain after 40 days.

After 40 days, 244.17 grams of Iodine will remain.

<h3 /><h3>The half-life of materials and how to use it:</h3>

The half-life of a material is the time it takes for that amount of material to reduce to its half.

We can model the amount of Iodine as:

A(t) = A*e^{k*t}

  • Where A is the initial amount, in this case, 7800g.
  • k is a constant that depends on the half-life.
  • t is the time in days.

Replacing what we know, we get:

A(t) = 7800g*e^{k*t}

Now we use the fact that the half-life is 8 days, this means that:

e^{k*8} = 1/2

ln(e^{k*8}) = ln(1/2)

k*8 = ln(1/2)

k = ln(1/2)/8 = -0.0866

Then the function is:

A(t) =  7800g*e^{-0.0866*t}

So now we just need to evaluate this in t = 40.

A(40) = 7800g*e^{-0.0866*40} = 244.17g

So, after 40 days, 244.17 grams of Iodine will remain.

If you want to learn more about half-life and decays, you can read:

brainly.com/question/11152793

3 0
2 years ago
The question is in the picture (:
Arte-miy333 [17]

Answer:

\frac{(x - 2)(x + 2)}{x - 8}

6 0
2 years ago
Read 2 more answers
alex has a 48 mile trail first half of the time he was biking twice as fast as the second half of the time if he spent 4 hours o
Irina-Kira [14]

Answer:

16 mph

Step-by-step explanation:

Givens:

4 hours total time

48 miles total distance

So our equation should look like this.

48 = 2x(2) + x(2)

Where x = speed second half of trip.

x = 8

x*2 = 16 mph

4 0
3 years ago
An automobile's radiator has a capacity of fifteen quarts, and it currently contains twelve quarts of a thirty percent antifreez
matrenka [14]
I got 3 quarts... this is the last one I'm doing cause you are mad at me and want nothing to do with me. hope u get the rest of your answers and bye.
7 0
3 years ago
Read 2 more answers
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