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Yuki888 [10]
3 years ago
9

What is the following product? PLEASE HELP,I'M STRUGGLING SO MUCH!

Mathematics
1 answer:
Licemer1 [7]3 years ago
5 0

(x√7 - 3√8 ) (x√7 - 3√8 )

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(x√7 - 3√8 ) (x√7 - 3√8 )

x√7 * x√7

For this you will multiply the numbers/variables on the out side together and separately multiply the values inside the square root together

(x*x)(√7*7)

x²√49

7x²

Outside:

(x√7 - 3√8 ) (x√7 - 3√8 )

x√7 * -3√8

(-3*x)(√7*8)

-3x√56

√56 can be further simplified to: 2√14

Now we have: -3x2√14 ---> -6x√14  

Inside:

(x√7 - 3√8 ) (x√7 - 3√8 )

The process is the exact same as in the "outside"

x√7 * -3√8

(-3*x)(√7*8)

-3x√56

√56 can be further simplified to: 2√14

Now we have: -3x2√14 ---> -6x√14

Last:

(x√7 - 3√8 ) (x√7 - 3√8 )

-3√8 * -3√8

(-3*-3)(√8*√8)

9√64

9*8

72

Now combine all the products of the FOIL together like so...

7x² - 6x√14 - 6x√14 + 72

Combine like terms:

 

7x² - 6x√14 - 6x√14 + 72

^^^When you add together square roots the number inside the radical stays the same, and you combine the numbers/variables attached to the radical on the outside

You selected the correct answer:

7x² -12x√14 + 72  

Hope this helped!

~Just a girl in love with Shawn Mendes

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Answer:

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Step-by-step explanation:

6(-2)+5(1)=-7

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8 0
3 years ago
Simpifly 49/84 <br> ...........
sineoko [7]

Answer:

7/12

Step-by-step explanation:

Divide both the numerator & denoniminator by 7.

49 / 7 = 7

84 / 7 = 12

7/12

3 0
2 years ago
Find the area of a triangle whose vertices are (0,0), (4,2), (-1,2)​
Yakvenalex [24]

Answer:

Therefore area of a triangle whose vertices are (0,0), (4,2), (-1,2) is

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Step-by-step explanation:

Given:

Let the vertices be,

point A( x₁ , y₁) ≡ ( 0 , 0)

point B( x₂ , y₂) ≡ (4 , 2)

point C(x₃ , y₃ ) ≡ (-1 , 2)

To Find:

Area of Triangle = ?

Solution:

If the Vertices A( x₁ , y₁), B( x₂ , y₂) and C(x₃ , y₃ ) then the Area of Triangle is given by

\textrm{Area of Triangle}=\dfrac{1}{2}(x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2}))

Substituting the values we get

\textrm{Area of Triangle}=\dfrac{1}{2}(0(2-2)+4(2-0)+(-1)(0-2))

\textrm{Area of Triangle}=\dfrac{1}{2}(0+8+2))=\dfrac{10}{2}=5\ units^{2}

Therefore area of a triangle whose vertices are (0,0), (4,2), (-1,2) is

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7 0
3 years ago
Two points are chosen randomly and independently from the interval [0, 1] according to a uniform distribution. Show that the exp
ollegr [7]

Answer:

X and Y are independent

Step-by-step explanation:

attached below is the detailed solution

X and Y are independent

f(x,y) = fx(x) fy (y) = 1

3 0
2 years ago
Pls help how does the slope g(x) compare to the slope of f(x) ?
Kay [80]

Answer:

The slope of g(x) is less than the slope of f(x).

Step-by-step explanation:

If the slopes were equal, the lines would be parallel.

The slopes are both positive because both lines are going up from left to right, so the slopes are not opposite.

If they had opposite signs, one positive and one negative, the lines would look like one going up and one going down (from left to right)

The graph of f(x) is steeper, so it is greater, whereas, the graph of g(x) is flatter, so is it less.

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