How can you rewrite ( ^12 sqrt 12 ) ^5 without a radical?

Which Best summarizes the Pythagorean theorem

Masja [62]

the sum of the squares of the lengths of the legs of a right triangle equal the square of the length of the hypotenuse

Explanation

Pythagorean theorem is related to the right angle triangle and it states that

c^2= a^2 + b^2

Where C is the length of the hypotenuse

a and b are the length of the sides of the triangle

The theorem states that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse

4 0

3 years ago

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Need an answer, please need an answer, please

inna [77]

Answer:

Step-by-step explanation:

O

3x² - 11x - 4 = 0

a = 3 ; b = -11 , c = -4

$Sum \ of \ roots = \dfrac{-b}{a}=\dfrac{-(-11)}{3}=\dfrac{11}{3}\\\\Product \ of \ roots =\dfrac{c}{a}=\dfrac{-4}{3}\\\\$

W

8x² + 12x = -1

8x² + 12x + 1 = 0

a = 8 ; b = 12 ; c = 1

$Sum \ of \ roots =\dfrac{-b}{a}=\dfrac{-12}{8}=\dfrac{-3}{2}\\\\Product \ of \ roots = \dfrac{c}{a}=\dfrac{1}{8}$

L

x² + x = 6

x² + x - 6 = 0

a = 1 ; b= 1 ; c = -6

$Sum \ of \ roots = \dfrac{-1}{1}=-1\\\\Product \ of \ roots = \dfrac{-6}{1}=-6$

G

x²- 2x - 2 =0

a = 1 ; b = -2 ; c = -2

$Sum \ of \ roots = \dfrac{-(-2)}{1}=2\\\\Product \ of \ roots = \dfrac{-2}{1}=-2$

E

4x - 5 = -4x²

4x² + 4x - 5 = 0

a = 4 ; b = 4 ; c = -5

$Sum \ of \ roots = \dfrac{-4}{4}=-1\\\\Product \ of \ roots=\dfrac{-5}{4}$

B

12x² +x -6 = 0

a = 12 ; b = 1 ; c = -6

$Sum \ of \ roots =\dfrac{-1}{12}\\\\Product \ of \ roots =\dfrac{-6}{12}=\dfrac{-1}{2}$

R

2x² + 5x - 25 = 0

a = 2 ; b = 5 ; c = -25

$Sum \ of \ roots=\dfrac{-5}{2}\\\\Product \ of \ roots =\dfrac{-25}{2}$

A

6x² -5x - 4 = 0

a = 6 ; b = -5 ; c = -4

$Sum \ of \ roots =\dfrac{-[-5]}{6}=\dfrac{5}{6}\\\\Product \ of \ roots = \dfrac{-4}{6}=\dfrac{-2}{3}$

8 0

2 years ago

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The height (in feet) of punted football is a function of the time the ball is in the air. The function is defined by h(t) = - 7t

Kamila [148]

Answer:

The height of the football after 4 seconds is 80 feet.

Step-by-step explanation:

You know that the height (in feet) of punted football is a function of the time the ball is in the air and it is defined by:

h(t) = -7*t²+48*t

To calculate the height of the ball after 4 seconds, you must replace the time t by the time of 4 seconds:

h(4) = -7*4²+48*4

Solving, you get:

h(4) = -7*16+48*4

h(4) = -112+192

h(4)= 80

The height of the football after 4 seconds is 80 feet.

8 0

3 years ago

The sum of two numbers is 10. The difference between three times the first number and twice the second number is 20. Find the tw

77julia77 [94]

Answer:

one number x= 16

other number y = 4

7 0

3 years ago

A rack of 15 billiard balls is shown. If one ball is selected at random, determine the odds against it containing a number grea

andre [41]

Using the probability and odds concepts, it is found that the odds against it containing a number greater than or equal to 7 is $\frac{2}{3}$ .

A probability is the number of desired outcomes divided by the number of total outcomes.
An odd is the number of desired outcomes divided by the number of non-desired outcomes.

In the rack, there are 15 balls, numbered from 1 to 15. Of those, 6 are less than 7(against it containing a number greater than or equal to 7 is equivalent to it containing a number less than 7), thus:

There are 6 desired outcomes.
There are 9 non-desired outcomes.

The odd is:

$\frac{6}{9} = \frac{2}{3}$

The odds against it containing a number greater than or equal to 7 is $\frac{2}{3}$ .

A similar problem is given at brainly.com/question/21094006

7 0

3 years ago