The answer you giving me is not On the answer key

Free_Kalibri [48]

Answer:

● The pythagorian theorem

The pythagorian theorem is used to find a missing side of a right triangle.

It states that the square of the hypotenus of a right triangle is equal to the sum of the squares of the two other sides.

Let a be the hypotenus, b and c are the othet sides:

☆☆☆☆☆ a^2 = b^2 + c^2☆☆☆☆☆

There are more than 350 way to prove this theorem.

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● Hippasus of Croton was a member of the highly-secretive school og Pythagoras in Croton. He is credited in history as the first person to prove the existence of irrational numbers.

8 0

3 years ago

Which functions have an axis of symmetry of x = –2? Check all that apply.

ELEN [110]

Answer : $Answer :f(x) = x^2 + 4x + 3 \ and \ f(x) = -2x^2 - 8x + 1$

Given: axis of symmetry of x = –2

To find axis of symmetry we use formula $x =\frac{-b}{2a}$

We check which equation has axis of symmetry x= -2

(1) $f(x) = x^2 + 4x + 3$

a=1 , b=4 so axis of symmetry $x =\frac{-4}{2*1} = -2$

(2) $f(x) = x^2 - 4x - 5$

a=1 , b=-4 so axis of symmetry $x =\frac{-(-4)}{2*1} = 2$

(3) $f(x) = x^2 + 6x + 2$

a=1 , b=6 so axis of symmetry $x =\frac{-6}{2*1} = -3$

(4) $f(x) = -2x^2 - 8x + 1$

a=-2 , b=-8 so axis of symmetry $x =\frac{-(-8)}{2*(-2)} = -2$

(5) $f(x) = -2x^2 + 8x - 2$

a=-2 , b=8 so axis of symmetry $x =\frac{-(8)}{2*(-2)} = 2$

So $f(x) = x^2 + 4x + 3$ and $f(x) = -2x^2 - 8x + 1$ has axis of symmetry x=-2

9 0

3 years ago

Read 2 more answers

In the series finale of 'Breaking Wind', ratings

Pie

Answer:

3937500

Step-by-step explanation:

People watched last year = x

if ratings were up 125% x increased by x and 25% of x

25% of 10.5 million is 2625000

x increased by itself and 2625000

x*2+2625000 = 10500000

cancel out 2625000 by subtracting to both sides

10500000 - 2625000 = 7875000

x*2 = 7875000

cancel out 2 by dividing 2 on both sides

7875000/2 = 3937500

x = 3937500

4 0

3 years ago

Solve for y in terms of x. 3x^2 + 2x + 4 = y

Sav [38]

Answer:

y=-1+squareroot 47l /6, -1- squaroot 47l/6

Step-by-step explanation:

3x^2 +2x+4−x=0

3x^2 +x+4=0

y=-1+squareroot 47l /6, -1- squaroot 47l/6

3 0

3 years ago

The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest

jeka94

Answer:

(a) The probability that the port handles less than 5 million tons of cargo per week is 0.7291.

(b) The probability that the port handles 3 or more million tons of cargo per week is 0.9664.

(c) The probability that the port handles between 3 million and 4 million tons of cargo per week is 0.2373.

(d) The number of tons of cargo per week that will require the port to extend its operating hours is 5.35 million tons.

Step-by-step explanation:

Let X = amount of cargo the port handles per week.

The random variable X is Normally distributed with parameters,

μ = 4.5 million

σ = 0.82 million

(a)

Compute the probability that the port handles less than 5 million tons of cargo per week as follows:

$P(X$

*Use a z-table for the probability.

Thus, the probability that the port handles less than 5 million tons of cargo per week is 0.7291.

(b)

Compute the probability that the port handles 3 or more million tons of cargo per week as follows:

$P(X\geq 3)=P(\frac{X-\mu}{\sigma}\geq \frac{3-4.5}{0.82})\\=P(Z>-1.83)\\=P(Z$

*Use a z-table for the probability.

Thus, the probability that the port handles 3 or more million tons of cargo per week is 0.9664.

(c)

Compute the probability that the port handles between 3 million and 4 million tons of cargo per week as follows:

$P(3$

Thus, the probability that the port handles between 3 million and 4 million tons of cargo per week is 0.2373.

(d)

It is provided that P (X < x) = 0.85.

Then, P (Z < z) = 0.85.

The value of z for this probability is:

z = 1.04.

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\1.04=\frac{x-4.5}{0.82}\\x=4.5-+1.04\times 0.82)\\x=5.3528\approx5.35$

Thus, the number of tons of cargo per week that will require the port to extend its operating hours is 5.35 million tons.

5 0

4 years ago