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Studentka2010 [4]
3 years ago
15

Can anybody help me with this and show work ?? :)

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer: 3/2

Step-by-step explanation:

Just take the length of 1 side, for example LP, and count the length in units.

LP = 8 units

Now, L’P’ = 12 units, so divide the length of L’P’ by LP to get the factor of dilation.

12/8 = 3/2

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Given that x = -2 - 3i and y = 4 + 2i , Match The Expressions.
shtirl [24]

Answer:

3y-2x=16+12i

-3x \cdot y=6+48i

x \cdot 2y=-4-32i

x-y=-6-5i

Step-by-step explanation:

Given:

x=-2-3i

y=4+2i

---

1st problem:

3y-2x

3(4+2i)-2(-2-3i)

Distribute:

12+6i+4+6i

Combine like terms:

16+12i

---

2nd problem:

-3x \cdot y

-3(-2-3i) cdot (4+2i)

-3(-2-3i)(4+2i)

Distribute -3 to first factor:

(6+9i)(4+2i)

Use foil to simplify:

24+12i+36i+18i^2

Replace i^2 with -1:

24+48i-18

Combine like terms:

6+48i

---

3rd problem:

x \cdot 2y

(-2-3i) \cdot 2(4+2i)

Distribute 2 to the second factor:

(-2-3i) \cdot (8+4i)

(-2-3i)(8+4i)

Use foil to simplify:

-16-8i-24i-12i^2

Replace i^2 with -1:

-16-32i+12

Combine like terms:

-4-32i

----

4th problem:

(-2-3i)-(4+2i)

Distribute:

-2-3i-4-2i

Combine like terms:

-2-4-3i-2i

Simplify:

-6-5i

6 0
2 years ago
Read 2 more answers
Convert 11 years to hours
yan [13]

Answer:

96360

Step-by-step explanation:

search hours a month then multiply that by 12

5 0
3 years ago
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The augmented matrix of a system of equations has been transformed to an equivalent matrix in​ row-echelon form. Using​ x, y
jenyasd209 [6]

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:

  • There is a row of all zeros at the bottom of the matrix;
  • The first non-zero element of any row is 1, which called leading role;
  • The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]

or in system form:

x + 2y + 2z = 4

       y + 3z = 9

               z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

4 0
3 years ago
(-5,-3) (5,5)<br> slope<br> What is the slope ?
Setler [38]

Answer:

The slope is 10/8

Step-by-step explanation:

You would rise 10 units and you would run 8 units.

6 0
2 years ago
Read 2 more answers
What are the coefficient(s) in the expression 6y+3x-2​
Maslowich

Answer:

6 and 3

Step-by-step explanation:

3 0
2 years ago
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