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In-s [12.5K]
2 years ago
15

Can a triangle have sides with the given lengths 8cm, 7cm, 9cm explain

Mathematics
1 answer:
Paladinen [302]2 years ago
7 0

Answer:

YES

Step-by-step explanation:

For a triangle of sides a, b, c, we must have the following to be true to have a triangle.

a + b > c > |a - b|

b + c > a > |b - c|

a + c > b > |a - c|

if a=8, b=7, and c=9, we have that:

8 + 7 > 9 > 8 - 7, 15 > 9 > 1. TRUE.

7 + 9 > 8 > 9 - 7, 16 > 8 > 2. TRUE.

8 + 9 > 7 > 9 - 8, 17 > 7 > 1. TRUE.

Thus, a triangle can have sides of 8 cm, 7 cm, 9 cm.

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A car's position is given by s(t) = {3 – 5t? + 7t hundreds of meters with t in minutes.
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Answer:

A) (1 s, 2.3 s)

B) (-4 m/s², 3.8 m/s²)

Step-by-step explanation:

The car's position which is the distance is given by the equation;

s(t) = t³ - 5t² + 7t

A) Velocity is the first derivative of the distance. Thus;

v(t) = ds/dt = 3t² - 10t + 7

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3t² - 10t + 7 = 0

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t = 1 and t = 2.3

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B) acceleration is the derivative of the velocity. Thus;

a(t) = dV/dt = 6t - 10

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a(1) = 6(1) - 10 = -4 m/s²

a(2.3) = 6(2.3) - 10 = 3.8 m/s

Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)

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3 years ago
Which sequence is represented by = 10 − 29 where x represents the term number and y represents the term?
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7 x (-2) = ? * what’s the answer
Karolina [17]

Hey there!

<h3>Guide: </h3>
  • Negative & negative = positive
  • Positive & negative = negative
  • Positive & positive = positive
  • Negative & positive = negative

<h3>So, far <u>in your particular question we’re doing</u> <u>positive</u> (7) <u>&</u> <u>negative</u> (-2) so <u>that means your</u> <u>result will most likely be a negative </u></h3><h3 />

<em>Now let’s answer your question, shall we </em>

<h2>7 • (-2) =<em><u> -14</u></em> </h2>

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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3 years ago
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