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Dovator [93]
4 years ago
13

Which inequality represents the values of x that ensure triangle ABC exists? a triangle with side lengths of 6.5 units, 3.5 unit

s, and 2.5 + x units A. 0.5 < x < 7.5 B. 3.0 < x < 7.5 C. -0.5 < x < 7.5 D. -3.0 < x < 7.5
Mathematics
1 answer:
kaheart [24]4 years ago
3 0

Answer:

D. -3.0 < x < 7.5

Step-by-step explanation:

Given the side lengths of a triangle: 6.5 units, 3.5 units, and 2.5 + x units

For the triangle to exist:

  • A side length cannot be negative
  • A side length cannot be zero

Therefore, the third side length

x+2.5>0

x>-2.5

x must be greater than -2.5 and less than or equal to 6.5 units.

The correct option is D which satisfies this condition.

D. -3.0 < x < 7.5

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Free_Kalibri [48]
<h3>Answer:</h3>

90

<h3>Explanation:</h3>

When p increases by a factor of 15/8, then x will, too. That is the meaning of "varies directly."

... x = (15/8)·48 = 90

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3 years ago
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solmaris [256]

2/5

Step-by-step explanation:

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Find the ends of the major axis and foci
poizon [28]

The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).

<h3>What is the axis and foci about?</h3>

The term 'foci' is known to be the point at which there is the coming together of light or any other kinds of electromagnetic radiation, particles, etc.

It is also seen as the point from which they seems to go apart.

\frac{x^{2} }{144} + \frac{y^{2} }{169}  = 1

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Hence, major axis is = (0, ± 13)

e = \sqrt{1 -\frac{12^{2} }{13^{2} } }

= 5/13

Foci is: (0± 13 x \frac{5}{13})

Foci is: (0, ±5)

Therefore, The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).

Learn more about foci from

brainly.com/question/26250569

#SPJ1

8 0
2 years ago
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NikAS [45]

Answer:

Step-by-step explanation:

Number Square Root (√)

12           3.464

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3 years ago
Simplify the following expressions, distribute first and then combine like terms.
tiny-mole [99]

Answer:

1.−9x+64

2.3x−11

3.−15x−23

4.

−463

20

(Decimal: -23.15)

Step-by-step explanation:

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4 years ago
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