Find the value of x. Pythagorean theorem and its converse

Answer:

2nd option is the correct answer

[tex] 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]

Step-by-step explanation:

[tex]3 {b}^{2} \bigg( \sqrt[3]{54a} \bigg) + 3 \bigg( \sqrt[3]{2a {b}^{6} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{27 \times 2a} \bigg) + 3 \bigg( \sqrt[3]{2a {( {b}^{2} )}^{3} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{ {3}^{3} \times 2a} \bigg) + 3 \bigg({\sqrt[3]{{( {b}^{2} )}^{3}2a} } \bigg) \\ \\ = 3 {b}^{2} \times 3 \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 9 {b}^{2} \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]

Answer:

second option:  12b²(∛2a)

Step-by-step explanation:

you can break [tex]\sqrt[3]{54a}[/tex] into [tex]\sqrt[3]{3^3(2a)}[/tex] which equals 3[tex]\sqrt[3]{2a}[/tex]

you can break [tex]\sqrt[3]{2ab^6}[/tex] into [tex]\sqrt[3]{2ab^3b^3}[/tex] which equals b²[tex]\sqrt[3]{2a}[/tex]

now we can simplify: (3b² ·  3[tex]\sqrt[3]{2a}[/tex]) + 3b²[tex]\sqrt[3]{2a}[/tex] = 9b²[tex]\sqrt[3]{2a}[/tex] + 3b²[tex]\sqrt[3]{2a}[/tex]

this equals 12b²[tex]\sqrt[3]{2a}[/tex]

Answer:

m<3 = 58

Step-by-step explanation:

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Answer:

[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]

[tex]Total := 910cm[/tex]

Step-by-step explanation:

Given

[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m[/tex]

Required

Convert to length and calculate the total

To calculate to centimeters, we simply multiply each length to 100.

So, we have:

[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m) * 100[/tex]

[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]

The total is:

[tex]Total := 93cm+ 124cm+ 62cm+ 341cm+ 150cm+ 140cm[/tex]

[tex]Total := 910cm[/tex]

Answer:

1. C. x^8

2. C. 3^9

3. D. 12x^7

Step-by-step explanation:

1.

x^6 * x^2 = x^(6 + 2) = x^8

Answer: C. x^8

2.

3^2 * 3^3 * 3^4 = 3^2 + 3 + 4) = 3^9

Answer: C. 3^9

3.

3x^2 * 4x^5 = 3 * 4 * x^2 * x^5 = 12x^(2 + 5) = 12x^7

Answer: D. 12x^7

Answer:

i think its the 2nd choice but im not 100% sure

9514 1404 393

Answer:

  3x +4y = -36

Step-by-step explanation:

The slope-intercept form is ...

  y = mx + b

where m is the slope and b is the y-intercept. From this equation, we can find the y-intercept as ...

  b = y -mx

For the given point and slope, this is ...

  b = -6 -(-3/4)(-4) = -9

Then the slope-intercept equation is ...

  y = -3/4x -9

We can multiply by 4 to get something we can put in standard form.

  4y = -3x -36

  3x +4y = -36 . . . . standard form equation

Answer:

z=9

Step-by-step explanation:

we are given: 2/3z=6

we need to find what z is by itself

6 is 2/3rds of what the value of z is.

to find z, we need to multiply both sides by 3/2 (the reciprocal of 2/3z, to make the coefficient of 1)

3/2*2/3z=6*3/2

z=9

hope this helps :)

z = 9

Step-by-step explanation:

2/3 . z = 6

2z/3 = 6

Multiple all terms by the same value to eliminate fraction denominator,

3 x 2z/3 = 3 x 6

2z = 18 ( 3,3 got cancelled)

Divide both sides of the equation by the same term,

2z/2 = 18/2

On Simplify,

z = 9.

*(2,2 gets cancelled and 18/2 = 9)

Answer:

1/4

3/8

3/4

Step-by-step explanation:

Fairly rough estimates as the image doesn't look perfectly to scale!

Answer: 20% is less than 1/4

Step-by-step explanation:

1/4 is 25%

25%> 20%

Answer: less

Step-by-step explanation:

Answer:

CHICKEN CHEESE BUTT

Step-by-step explanation:

5+5 = 69 :)

Answer:

x = 2 ± √34/5

Step-by-step explanation:

Move terms to the left side.

5x^2 - 4x = 6

5x^2 - 4x -6 = 0

Identify a, b, and c before plugging them into the quadratic formula.

a = 5

b = -4

c = -6

x = -(-4) ± √(-4)^2 - 4 * 5(-6)/2 * 5

Then simplify.

Answer:

What I don’t understand is this a question or a recipe

Step-by-step explanation:

Answer:

10 5/8

Step-by-step explanation:

17/1 x 5/8. Multiply numerators together and denominators you will get 85/8. Then you convert the improper fraction.

Answer:

10 5/8

Step-by-step explanation:

17 × 5/8  = 85/8

Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

85 ÷ 8 = 10 remainder 5

85/8 = 10 5/8

Answer:

x = 12.5

Step-by-step explanation:

Based on the interesting chords theorem, we would have the following:

2*x = 5*5

2x = 25

Divide both sides by 2

x = 25/2

x = 12.5

Answer:

f(-4) = 6

f(0) = -6

f(1) = -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think negative becuase however many people are on the bus fewer seats are left

Answer:

B) Negative

Step-by-step explanation:

Negative Association would be if when one variable increases, another decreases. This is true in this situation. When the number of people increases, the number of empty seats decreases. This makes it Negative and not Positive or No Association.

Hope it helps!

Answer:

2x=3

W+1.3=2.7

3y=5.1

z+1/3=1/2

Step-by-step explanation:

You just add up all on the left to equate that on the right

2x=3

W+1.3=2.7

3y=5.1

z+1/3=1/2

In case you have to solve:

x=3/2

W=2.4

y=1.7

z=1/6

Answer:

15

Step-by-step explanation:

Answer:

2/5×$35 = 2/1×$7 = 2×7 = $14

Answer:

5X²+7X-9-4X²-X+18

5X²-4X²+7X-X+18-9

X²+6X+9 =0

X²+(3X+3X)+(3×3)=0

ALL FACTORS ARE =3,3   that is  pdt of factor 3×3 =9   sum =3+3 =6

(X+3) ( X+3) =0  

X+3 =0

X=-3

ANS = X=-3

Step-by-step explanation:

Answer:

20 years

Step-by-step explanation:

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

54 - x = 5x - 30

6x = 84

x = 14.

Son's age after 6 years = (x+ 6) = 20 years..

I hope this helps a little bit.

Answer:

1704

Step-by-step explanation:

Answer:

x  ≤ -2

Step-by-step explanation:

The  arrow is going left meaning. It is less than -2. A closed dot means "or equal to". A open dot means" greater than/less than"(normal).

You can ask me to explain further if you need me to!! :)