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AnnyKZ [126]
3 years ago
6

Applying the Segment Addition Postulate

Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0

Answer:

144

Step-by-step explanation:

Find: Length of segment BC

CD+DB=BC

3x+8+4x+10=BC

7x+18=BC

BC also equals 8x (given on the screen shot)

7x+18= 8x

x=18

18 times 8 = 144

Check:

3( 18) + 8 + 4(18) + 10

54+8 + 72+10

64+ 80= 144  TRUE

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10 billion

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What is 4.68 divided by 12
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5 0
3 years ago
Geometry and Operations help please:)
saul85 [17]
1. a

2. a

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7 0
2 years ago
Read 2 more answers
Click the picture :)
yarga [219]

Functions are used to represent equations and graphs

  • The superhero will be able to leap over the building
  • The support should be placed 48 feet from the edge
  • Joe will not be able to stand up in the igloo
  • Joe will be able to lay down in the igloo

<h3>Question 13: How to determine if the superhero will make it to the building</h3>

The function is given as:

f(x) = -16x^2 + 200x

Differentiate the function

f'(x) = -32x + 200

Set to 0

-32x + 200 =0

So, we have:

-32x =-200

Solve for x

x =6.25

Calculate f(6.25)

f(x) = -16x^2 + 200x

f(6.25) = -16 * 6.25^2 + 200 * 6.25

f(6.25) = 625

The above means that, the superhero reached a height of 625 feet.

625 is greater than 612.

Hence, the superhero will be able to leap over the building

<h3>Question 14: How to determine the distance from the edge</h3>

The function is given as:

f(x) = -0.03x^2 + 2.4x

Differentiate

f'(x) = -0.06x + 2.4

Set to 0

-0.06x + 2.4 = 0

Subtract 2.4 from both sides

-0.06x = -2.4

Solve for x

x = 40

Calculate f(40)

f(x) = -0.03x^2 + 2.4x

f(40) = -0.03*40^2 + 2.4*40

f(40) = 48

This means that, the support should be placed 48 feet from the edge

<h3>Question 15: Will Joe be able to stand up?</h3>

In (14), the maximum height is 48 feet.

Joe's height (70 feet) is greater than 48.

This means that, Joe will not be able to stand up in the igloo

<h3>Question 15: Will Joe be able to lay down?</h3>

In (14), the midpoint is 40 feet.

This means that the length of the igloo is 80 feet (i.e. 2 * 40 feet)

Joe's height (70 feet) is less than 80.

This means that, Joe will be able to lay down in the igloo

Read more about quadratic functions at:

brainly.com/question/8952707

7 0
2 years ago
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