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4 years ago

What is the answer to x+a=3/4

1 answer:

4 0

X can equal 2/4
a can equal 1/4

Or x can equal 1/4
and a can equal 2/4

Or x can equal -2/4
And a can equal 5/4

There's a series of values so just pick one set above unless you need the others.

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If a = 5+2√6 then find a²-1÷a²

Umnica [9.8K]

Answer:

a²+1/a² = 7

Step-by-step explanation:

Given, a = (3+√5)/2

We have to find the value of a² + 1/a².

1/a = 1/((3+√5)/2) = 2/(3+√5)

By taking conjugate,

2/(3+√5) = 2/(3+√5) × (3-√5)/(3-√5)

= 2(3-√5) / (3+√5)(3-√5)

By using algebraic identity,

(a - b)(a + b) = a² - b²

(3+√5)(3-√5) = (3)² - (√5)²

= 9 - 5

= 4

2(3-√5) / (3+√5)(3-√5) = 2(3-√5) / 4

So, 1/a = (3-√5)/2

Now, a² = [(3+√5)/2]²

= (3+√5)²/4

By using algebraic identity,

(a + b)² = a² + 2ab + b²

(3+√5)² = (3)² + 2(3)(√5) + (√5)²

= 9 + 6√5 + 5

= 14 + 6√5

a² = (14+6√5)/4

= 2(7+3√5)/4

a² = (7+3√5)/2

Now, 1/a² = [(3-√5)/2]²

= (3-√5)²/4

By using algebraic identity,

(a - b)² = a² - 2ab + b²

(3-√5)² = (3)² - 2(3)(√5) + (√5)²

= 9 - 6√5 + 5

= 14 - 6√5

1/a² = (14-6√5)/4

1/a² = (7-3√5)/2

a²+1/a² = (7+3√5)/2 + (7-3√5)/2

= 7/2 + 3√5/2 + 7/2 - 3√5/2

= 7/2 + 7/2

= 7

Therefore, a²+1/a² = 7

5 0

2 years ago

Given g(x) = 3x + 8 , what is the value of g(− 4) ?

amid [387]

Answer:

- 4

Step-by-step explanation:

Step 1:

g ( x ) = 3x + 8 Function

Step 2:

g ( x ) = 3 ( - 4 ) + 8 Input x

Step 3:

g ( x ) = - 12 + 8 Multiply

Answer:

g ( x ) = - 4 Add

Hope This Helps :)

4 0

3 years ago

Read 2 more answers

-2x + y = 0<br> 5x + 3y -11

Nesterboy [21]

Answer:

x=1, y=2

Step-by-step explanation:

if thats not the answer you need ill be happy to help again

5 0

3 years ago

Need help right now asap??!?!?!??!?!??!

abruzzese [7]

A) The person that has a greater probability of selecting a quadrilateral is Robert.

B) The person that has a greater probability of selecting a polygon is; Robert.

C) The event that is more likely to happen is the Probability of Sandy selecting a polygon with at least 2 sides parallel.

<h3>How to Identify Polygons?</h3>

Sandy has; Square, Rhombus, Equilateral Triangle, Regular Hexagon

Robert has Scalene Triangle, Kite, Right Isosceles Triangle, Isosceles Trapezoid, Quadrilateral.

A) Sandy's probability of selecting a quadrilateral = 2/4 = 0.5

Robert's probability of selecting a quadrilateral = 3/5 = 0.6

The person that has a greater probability of selecting a quadrilateral is Robert

B) The person that has a greater probability of selecting a polygon is; Robert because he has more.

C) Probability of Sandy selecting a polygon with at least 2 sides parallel is; 3/4 = 0.75

The Probability of Robert selecting a polygon with at least 2 sides parallel is; 2/5 = 0.4

The event that is more likely to happen is the Probability of Sandy selecting a polygon with at least 2 sides parallel.

Read more about Polygons at; brainly.com/question/5715879

#SPJ1

6 0

2 years ago

What is x in the expression 7x - 6

Eva8 [605]

Answer:

Variable

Step-by-step explanation:

I just know. You can search it up if you'd like!

7 0

3 years ago

Read 2 more answers