MATHEMATICS COLLEGE

If bd = 7x - 10, BC= 4x - 29, and cd
= 5x - 9, find each value

Answers

Answer 1
Answer:

Answer:

BD = 88

BC = 27

CD = 61

Explanation:

Given that,

BD = 7x - 10

BC= 4x - 29

CD = 5x - 9

Here we assume BD is a line segment and C is a point lies between B & D.

BD = BC + CD

7x - 10 = 4x - 29 + 5x - 9

Now combine like terms

7x - 10 = 4x + 5x - 29 - 9

7x - 10 = 9x - 38

Move 7x from left hand side to right hand side

-10 = 9x - 7x - 38

-10 = 2x - 38

Add 38 both the side

-10 + 38 = 2x - 38 + 38

28 = 2x

Divide by 2 both the side

x = 14

Now put the value of x and find the length of BD, CD, BC

BD = 7x - 10 = 7*14 - 10 = 98 - 10 = 88

BC= 4x - 29 = 4*14 - 29 = 56 - 29 = 27

CD = 5x - 9 = 5*14 - 9 = 61

That's the final answer.

I hope it will help you.
Answer 2
Answer:

The value of the expression will be:

BD = 88

BC = 27

CD = 61

How to solve the expression

Given that,

BD = 7x - 10

BC= 4x - 29

CD = 5x - 9

Here we assume BD is a line segment and C is a point lies between B & D.

BD = BC + CD

7x - 10 = 4x - 29 + 5x - 9

Now combine like terms

7x - 10 = 4x + 5x - 29 - 9

7x - 10 = 9x - 38

Move 7x from left hand side to right hand side

-10 = 9x - 7x - 38

-10 = 2x - 38

Add 38 both the side

-10 + 38 = 2x - 38 + 38

28 = 2x

Divide by 2 both the side

x = 14

Now put the value of x and find the length of BD, CD, BC

BD = 7x - 10 = 7*14 - 10 = 98 - 10 = 88

BC= 4x - 29 = 4*14 - 29 = 56 - 29 = 27

CD = 5x - 9 = 5*14 - 9 = 61

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Answers

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Don completes the square for the function y = x2 + 6x + 3. Which of the following functions reveals the vertex of the parabola?A. y = (x + 3)2 – 3
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Answers

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Answer:

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Step-by-step explanation:

For the school work online

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Answers

For this case we have the following inequality:
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 Rewriting we have:
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 The solution is given in this case by the set of points that belong to the shaded region shown in the graph.
 Answer:
 see attached image.

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Answers