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Ghella [55]
3 years ago
5

Solve for x in simplest form. 3=7/2(3x−4)

Mathematics
2 answers:
polet [3.4K]3 years ago
6 0

Answer:

x = 34/21

Step-by-step explanation:

  • 3 = 7/2 (3x-4)
  • 3 = (21/2)x - 28/2
  • 3 = (21/2)x - 14
  • (21/2)x = 17
  • 21x = 34
  • x = 34/21
Verdich [7]3 years ago
4 0

Answer:

x = 34/21

Step-by-step explanation:

3 = 7/2 ( 3 x -4)

We need to perform a multiplication.

The following rule is applied:

In our example, the factors in the new numerator are:

, ,

Notice that all non-fraction factors are placed in the numerator.

The only factor in the new denominator is: 2.

We need to get rid of all the denominators in this equation.

This can be achieved by multiplying both the left and the right side by the Least Common Denominator.

In our example, the LCD is equal to 2.

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son4ous [18]
<h2>Hello!</h2>

The answer is:

The second option,

Zackery, because AB=BC

<h2>Why?</h2>

To identify which type of triangle is the triangle formed by the given points, first, we need to calculate the distance between the points.

So, finding the distances we have:

From A to B: (2,3) and (4,4)

distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(4-2)^{2} +(4-3)^{2}}=\sqrt{2^{2} +1^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units

From B to C: (4,4) and (6,3)

distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(6-4)^{2} +(3-4)^{2}}=\sqrt{2^{2} +(-1)^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units

Hence, since the distances AB and BC are equal, the triangle is an isosceles triangle, so the answer is:

Zackery, because AB=BC

Have a nice day!

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