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kherson [118]
3 years ago
5

Systems of equations, help please?

Mathematics
1 answer:
lord [1]3 years ago
3 0
4x + 3y = 54 (1)
3x + 9y = 108 (2)

Multiply (1) by (-3)
-12x - 9y = -162 
3x + 9y = 108
---------------------add
-9x  =  -54
   x = 6

plug x = 6 into (1) to find y
4(6) + 3y = 54
24 + 3y = 54
3y = 30
  y = 10

Answer
(6 , 10)

Hope it helps.
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A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?
KatRina [158]

Volume of a cube = (edge)^3

In this problem,

Volume = 216in^2

Edge = ?

Let's plug our values into the formula above.

216in^3 = (edge)^3

Take the cbrt of both sides.

6in = edge

The length of each edge = 6in

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Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
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Hey there!

Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C. 

Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is \frac{1}{4}. 

Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down. 

The answer will be B, "a dilation with a scale factor of \frac{1}{4} and then a translation."

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Daria bought a bracelet at original cost $16 to sell in her handicraft store. She marked the price up 45%.
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6 0
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In parallelogram ABCD, diagonals AC and BD intersect at point E, AE = x^2 - 12, and CE = 4x What is AC?
Thepotemich [5.8K]

The length of the AC is x^2  + 4x  - 12.

<h3>What is a parallelogram?</h3>

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given :

In Parallelogram ABCD, diagonals AC and BD intersect at point E.

such that

AE = x^2 - 12,

CE = 4x

We know that the diagonal of a parallelogram bisect each other.

x^2 - 12 = 4x

x^2  - 4x  - 12= 0

(x-6)(x-2) = 0

Hence, the value of x = 6, 2.

AC = AE + CE = x^2  + 4x  - 12.

The length of the AC is x^2  + 4x  - 12.

Learn more about Parallelogram ;

brainly.com/question/12871564

#SPJ1

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A triangle with exactly two sides of the same length is called
frutty [35]

Answer:

isosceles

Step-by-step explanation:

isosceles

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