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maxonik [38]
3 years ago
6

Add the following polynomials, t - 3x2 - 2xy + y2 - 4x2 - xy +6y2 x2+ 6xy- y2

Mathematics
1 answer:
qaws [65]3 years ago
3 0

Well, it is 3 polynomials so let’s break it down first.

(-3x*2 -2xy +y*2) (-4x*2 -xy + 6y*2)

Let’s add these first. The rule is to drop parentheses and add regularly. Bases stay the same, powers add and coefficients multiply.

Ans: (-7x*4 -3x*2 y*2 + 7y*4)

Now let’s add it with the last one.

The answer is: -6x*6 +3x*3 y*3 -6y*6

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The figure in the picture is made up of 5 congruent squares. If the perimeter of the entire figure is 21.6 cm, find its area.
vovikov84 [41]
Perimeter is length plus width so use that to help you
3 0
3 years ago
A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. Su
Gala2k [10]

Answer: it will take 9 hours to empty the pool.

Step-by-step explanation:

The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is

30 × 18 × 4 = 2160 ft³

If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence(initial amount of water in the pool when completely full).

d represents the common difference(rate at which it is being pumped out)

n represents the number of terms(hours) in the sequence.

From the information given,

a = 2160 degrees

d = - 216 ft3

Tn = 0(the final volume would be zero)

We want to determine the number of terms(hours) for which Tn would be zero. Therefore,

0 = 2160 - 216 (n - 1)

2160 = 216(n - 1) = 216n + 216

216n = 2160 - 216

216n = 1944

n = 1944/216

n = 9

8 0
3 years ago
What is 9393÷76= I need help with this sum
Nikolay [14]
The exact answer is 123.592105263
Hope This Helps You!
Good Luck Studying :)
7 0
4 years ago
Read 2 more answers
Consider two vectors A and B A=14i and B= -4i+8j
DaniilM [7]
Assuming \mathbf a,\mathbf b\in\mathbb R^3, you have

\mathbf a\cdot\mathbf b=(14)(-4)+(0)(8)=-56

so

((\mathbf a\cdot\mathbf b)\,\mathbf i)\cdot\mathbf a=(-56\,\mathbf i)\cdot(14\,\mathbf i)=(-56)(14)=-784

Next,

\mathbf a+\mathbf b=(14\,\mathbf i)+(-4\,\mathbf i+8\,\mathbf j)=10\,\mathbf i+8\,\mathbf j

Then

(\mathbf a+\mathbf b)\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\10&8&0\\-4&8&0\end{vmatrix}=112\,\mathbf k

((\mathbf a+\mathbf b)\times\mathbf b)\times\mathbf k=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\0&0&112\\0&0&1\end{vmatrix}=\mathbf 0
4 0
3 years ago
What is the distace tweenn (4,-7) and (-5,-7)
love history [14]
The distance between them is 9.
5 0
3 years ago
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