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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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larisa86 [58]
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48: 1,2,3,4,6,8,12,16,24,48</span>
4 0
3 years ago
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Karo-lina-s [1.5K]
Is that a question or answer? If it's a question that's the right answer.
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4 years ago
Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1, and zeros
Kitty [74]

The factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)

<h3>How to determine the factored form?</h3>

The given parameters are:

  • Leading coefficient, a = 1
  • Zeros = -3, -3, 4, and 2.

Rewrite the zeros as:

x = -3, x = -3, x = 4 and x = 2

Set the zeros to 0

x + 3 = 0, x + 3 = 0, x - 4 = 0 and x - 2 = 0

Multiply the zeros

(x + 3) * (x + 3) * (x - 4) *(x - 2) = 0

Express as a function

y(x) = a(x + 3) * (x + 3) * (x - 4) *(x - 2)

Substitute 1 for a

y(x) = (x + 3)²(x - 4)(x - 2)

Hence, the factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)

Read more about polynomials at:

brainly.com/question/4142886

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8 0
2 years ago
Expand and simplify (x+5)(x-2)
salantis [7]

Answer:

{x}^{2} - x - 12 = (x + 3)(x - 4)

{x}^{2} + 3x + 2 = (x + 2)(x + 1)

{x}^{2} + 3x - 10 = (x + 5)(x - 2)

Step-by-step explanation:

F [First terms] - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT

O [Outside terms] - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT

I [Inside terms] - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT

L [Last terms] - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT

{x}^{2} - x - 12 = {x}^{2} - 4x + 3x - 12

{x}^{2} + 3x + 2 = {x}^{2} + x + 2x + 2

{x}^{2} + 3x - 10 = {x}^{2} - 2x + 5x - 10

I am joyous to assist you anytime.

8 0
3 years ago
1. How many groups of days are in 1 week?
wolverine [178]

Answer:

(14 groups)

14 divided by 7 = 2

Therefore 14 is your answer

Step-by-step explanation:

lol that's all I got

3 0
3 years ago
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