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8_murik_8 [283]
3 years ago
7

In the figure below, C is between A and D, and B is the midpoint of AC. If BD=8 and BC=6, find AD.

Mathematics
1 answer:
ANEK [815]3 years ago
3 0

Answer:

AD = 14

Step-by-step explanation:

BC = 6

BD = 8

CD = BD - BC

CD = 8 - 6

CD = 2

Since B is the midpoint of AC, therefore:

AC = 2*BC

AC = 2*6

AC = 12

Thus:

AD = AC + CD

AD = 12 + 2

AD = 14

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<h2>______________________________</h2><h2>Solve for x | Solution and Explanation </h2>

______________________________________________

Hello! So...

We are given the following:

Solve for x.

3x+23+x=7

====================

1. Group the like terms.

  • 3x+x+23=7

====================

2. Add similar elements (3x+x=4x).

  • 4x+23=7

====================

3. Subtract 23 from both sides.

  • 4x + 23 - 23 = 7 - 23

====================

4. Simplify.

  • 4x=-16

====================

5. Divide both sides by 4.

  • \frac{4x}{4} =\frac{-16}{4}

====================

6. Simplify.

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====================

Hope this helps!

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Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 7x − 1). If the final answer is written in the form Ax2 + Bx + C, wha
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Answer:

 

3x + 2x2 + 4 = 5

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First be sure that the right side of the equation is 0. In this case, all you need to do is subtract 5 from both sides.

 

3x + 2x2 – 1 = 0

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Simplify, and write the terms with the exponent on the variable in descending order.

 

2x2

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ax2

 

bx

 

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Now that the equation is in standard form, you can read the values of a, b, and c from the coefficients and constant. Note that since the constant 1 is subtracted, c must be negative.

Answer

2x2 + 3x – 1 = 0; a = 2, b = 3, c = −1

Step-by-step explanation:

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