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Colt1911 [192]
3 years ago
14

A system of linear equations is shown below. 2x + 4y = 10 3x – y = 8 marla is attempting to prove that by replacing 2x + 4y = 10

with a different equation it will sometimes produce a new system of equations with the same solution. marla plans on multiplying 2x + 4y = 10 by 2 and then adding the results to the equation 3x – y = 8 in order to create a new equation. marla claims that the new equation that she will replace 2x + 4y = 10 with is 7x + 7y = 12. is marla correct?

Mathematics
1 answer:
Kazeer [188]3 years ago
3 0
2(2x +4y) +(3x -y) = 2(10) +(8)
.. 7x +7y = 28

Marla has incorrectly calculated the constant as 12. It should be 28.

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How long is line UW?
Neko [114]

Answer: UW= 9√3

Step-by-step explanation:

This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.

The hypotenuse is 18. We can figure out the length of x.

2x=18

x=9

Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.

9√3

We can check our answer by using Pythagorean Theorem.

9²+(9√3)²=18²

81+243=18²

324=324

Since they are equal, we know we have the right answer.

5 0
3 years ago
If f(x)=3x-15, then f^-1(x) =<br> solve for x please
amid [387]
1.  Replace f(x) with y:  y = 3x - 15
2.  Interchange x and y:  x = 3y - 15
3.  Solve this for y:  3y = x + 15, and y = (x + 15)/3
4.  Replace y with 

   -1                -1
 f   (x):           f   (x) = (x + 15) / 3            (answer)
5 0
3 years ago
Is √2 irrational or rational?
zubka84 [21]
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8 0
3 years ago
What is the volume of the triangular prism? Round to the nearest tenth.
kramer

Answer:

the volume of the triangular prism is 1,185.6  in³

Step-by-step explanation:

To find the volume of these triangular prism, we will, first, find the area of the triangle then multiply by the length

Area of triangle = \frac{1}{2} × b×h

From the diagram ,the height of the triangle  is given to be 10.4 in and the base is given to be 12 in.

We will now proceed to insert the values into the formula;

                 Area of triangle  = \frac{1}{2} × b×h

                                              = \frac{1}{2} × 12×10.4

                                             

                                                = \frac{1}{2} × 124.8

                                                 =62.4

Area of triangle is 62.4 in²

From the diagram is given to be 19 in

Volume of triangular prism = area of triangular prism × l

                                              =62.4 in²   ×    19 in

                                              =1,185.6  in³

Therefore the volume of the triangular prism is 1,185.6  in³

                                           

                           

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9)7624 what's the remainder ​
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Answer:

1

Step-by-step explanation:

6 0
3 years ago
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