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2 years ago

2 sides of a triangle have the following measures. Find the range of possible measures for the third side.

Mathematics

1 answer:

defon2 years ago

7 0

Answer:

4 < x < 18

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

11 - 7 < x < 11 + 7

4 < x < 18 ← range of values for third side

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(5x-1)(3x+2)(9x-4) simply

dimaraw [331]

Answer:

135x^3 + 3x^2 - 46x + 8.

Step-by-step explanation:

(5x-1)(3x+2)(9x-4)

= (5x - 1)(27x^2 + 18x - 12x - 8)

= (5x - 1)(27x^2 + 6x - 8)

= 5x(27x^2 + 6x - 8) - 1(27x^2 + 6x - 8)

= 135x^3 + 30x^2 - 40x - 27x^2 - 6x + 8

= 135x^3 + 3x^2 - 46x + 8.

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2 years ago

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Zielflug [23.3K]

Answer:

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2 years ago

Solve y=-3x² + 4.5x – 20<br> Use the Quadratic formula

statuscvo [17]

Answer:

$x=0.75 \pm 2.47067i$

Step-by-step explanation:

Quadratic Formula: $x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}$

√-1 is imaginary number i

Step 1: Define

y = -3x² + 4.5x - 20

a = -3

b = 4.5

c = -20

Step 2: Substitute and Evaluate

$x=\frac{-4.5 \pm \sqrt{4.5^2-4(-3)(-20)} }{2(-3)}$

$x=\frac{-4.5 \pm \sqrt{20.25-240} }{-6}$

$x=\frac{-4.5 \pm \sqrt{-219.75} }{-6}$

$x=\frac{-4.5 \pm \sqrt{219.75}(\sqrt{-1} ) }{-6}$

$x=\frac{-4.5 \pm i\sqrt{219.75} }{-6}$

$x=\frac{4.5 \pm i14.824 }{6}$

$x=0.75 \pm 2.47067i$

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3 years ago

How many 6-ounce cups can be filled from 4 gallons of juice? Hint 1 gallon = 128 ounces

goldenfox [79]

To solve this, you just multiply 4 by 128 to get 512. Then you divide 512 by 6 to get a number of cups to be about 85.

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3 years ago

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Fantom [35]

How do you reverse division? You multiply. So, the answer is multiplying by 28.

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2 years ago