Hallar la ecuación general de la recta que pasa por el punto ( -2 , 3 ) y es paralela a esta recta -3y+2x=1.

A.
-2x-3y-13=0

B.
2x+3y-13=0

C.
-2x+3y+13=0

D.
-2x+3y-13=0

Answer:  [tex]2\sqrt{2}+\sqrt{3}\\\\[/tex]

a = 2 and b = 1

=======================================================

Explanation:

Set the expression equal to the given form we want. Then square both sides so we get rid of the outer-most square root

[tex]\sqrt{11+4\sqrt{6}} = a\sqrt{2}+b\sqrt{3}\\\\\left(\sqrt{11+4\sqrt{6}}\right)^2 = \left(a\sqrt{2}+b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = \left(a\sqrt{2}\right)^2+2*a\sqrt{2}*b\sqrt{3}+\left(b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = 2a^2+2ab\sqrt{2*3}+3b^2\\\\11+4\sqrt{6} = 2a^2+3b^2+2ab\sqrt{6}\\\\[/tex]

In the third line, I used the rule that (x+y)^2 = x^2+2xy+y^2

-------------------

At this point, we equate the non-radical and radical terms to get this system of equations

[tex]\begin{cases}11 = 2a^2+3b^2\\ 4\sqrt{6} = 2ab\sqrt{6}\end{cases}[/tex]

The second equation turns into 4 = 2ab when we divide both sides by sqrt(6)

Then 4 = 2ab turns into ab = 2 after dividing both sides by 2.

We're told that a,b are rational numbers. Let's assume that they are integers (which is a subset of the rational numbers).

If so, then we have these four possibilities

If a,b are negative, then you'll find that [tex]a\sqrt{2}+b\sqrt{3}[/tex] overall is negative. But this contradicts that [tex]\sqrt{11+4\sqrt{6}}[/tex] is positive. So a,b must be positive.

Let's assume that a = 1 and b = 2. If so, then,

2a^2+3b^2 = 2(1)^2+3(2)^2 = 14

but we want that result to be 11 instead.

Let's try a = 2 and b = 1

2a^2+3b^2 = 2(2)^2+3(1)^2 = 11

which works out perfectly.

Therefore,

[tex]\sqrt{11+4\sqrt{6}} = 2\sqrt{2}+\sqrt{3}\\\\[/tex]

---------------------------------

Checking the answer:

Use a calculator to find that

[tex]\sqrt{11+4\sqrt{6}} \approx 4.5604779\\\\2\sqrt{2}+\sqrt{3} \approx 4.5604779\\\\[/tex]

both have the same decimal approximation, so this is a fairly informal way to confirm the answer.

Another thing you can do is to take advantage of the idea that if x = y, then x-y = 0

So if you want to see if two things are equal, you subtract them. You should get exactly 0 or something very small (pretty much equal to 0).

Answer:

(-5/2, 4)

Second quadrant

Step-by-step explanation:

Mathematically, we can calculate the midpoint using the formula;

(x,y) = (x1 + x2)/2, (y1 + y2/2

We have;

(x,y) = (-4-1)/2, (3+5)/2

(x,y) = (-5/2, 4)

to get the quadrant, as we can see, this is negative x and positive y and that makes it the 2nd quadrant

Answer:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

Step-by-step explanation:

Given

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]

Required

Correctly combine the like terms

We have:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]

Collect like terms (in decreasing degrees of m)

[tex]- 2m^6 - 4m^6 - mn^5- m^3n^3 - 4m^3n^3+ 5m^2n^4 + 9m^2n^4 + 8mn^5 + n^6[/tex]

[tex]-6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

So:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

Answer:

Step-by-step explanation:

The discriminant comes from the quadratic formula. We use the discriminant to determine, before factoring, what types of solutions we can expect when we do factor. In the quadratic formula, the discriminant is under a square root sign. If the number under a square root sign is negative (meaning the discriminant is negative), we will not have real number solutions because you can't have a negative number under a square root. So a is your choice.

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1).

(a). 1 m ≈ 3.28 ft.

128 m ≈ 419.84 ft.

(b). 1 yd. ≈ 0.0009144 km

3910 yd. ≈ 3.58 km

(2). 1 m ≈ 0.0006214 mi.

10 000 m ≈ 6.2 mi.

Answer: grid #1 and grid #3

Step-by-step explanation:

grid 3 is 100% out of 100% making one whole and grid 1 has 40 out of 100 squares filled. 100 + 40 = 140/140%

Answer:

$189.74

Step-by-step explanation:

Since the sales tax is 6%,

179x0.06=10.74

Add to the starting price, 179.00+10.74=189.74!

I hope this helped!

Answer:

intercepts are (-6/11 , 0) and ( 6,0 )

Answer:

w

Step-by-step explanation:

Monday = 4

Tuesday = 1/3 w  (where w is the miles walked on Wednesday)

Wednesday = w

Total = 24

4 + 1/3 w + w = 24

Combine like terms

4 + 4/3 w = 24

Subtract 4 from each side

4/3 w = 20

Multiply each side by 3/4

w = 20 *3/4

w = 15

In the equation when we start, we need to put the variable, not the solution

At the end we have the solution

Answer:

y = 1/3 x +4

Step-by-step explanation:

m = 1/3

3 = 1/3(-3) + b

3 = -1 +b

b=4

Answer:

x = 0

Step-by-step explanation:

-2(x-4)=4x+2x+8

Distribute

-2x +8 =4x+2x+8

Combine like terms

-2x+8 =6x+8

Add 2x to each side

-2x+2x+8 =6x+2x+8

8 = 8x+8

Subtract 8 from each side

8-8 = 8x+8-8

0 = 8x

Divide by 8

0=x

Answer:

x = 0

Step-by-step explanation:

-2(x-4) = 4x+2x+8

-2x+8 = 6x+8

8-8 = 6x+2x

0 = 8x

x = 0

Hope this will help and if so, then please mark me as brainliest.

answer:

the answer is 40 because any expression divides itself is equals to 1

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{1}{x^3}[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\x^5\div x^8\\---------\\\rightarrow \text{Rewrite as:} \frac{x^5}{x^8}\\\\\rightarrow \text{Recall the exponent rule: } \frac{x^a}{x^b}=x^{a-b}\\\\\rightarrow \frac{x^5}{x^8} = x^{-3}\\\\\rightarrow \text{Recall the exponent rule: }x^{-b}=\frac{1}{x^b}\\\\\rightarrow x^{-3}\\\\\rightarrow \boxed{\frac{1}{x^3}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

option A

Step-by-step explanation:

since the two sides of the triangle are equal the given triangle is an isosceles triangle.

Base angles of an isosceles triangle are equal.

angle P = angle R

32 degree = angle R

The measure of <QRP = 32 degree.

An isosceles triangle is one with two sides that are the same size and a third side that is a different size.

According to the isosceles triangle theorem, if two sides of a triangle are congruent, the angles across from those sides are likewise congruent.

We have,

A triangle whose two sides are 8 unit each and an angle 32.

As, we know a triangle whose two sides are equal is said to be isosceles triangle.

So, the given triangle is isosceles.

Now, angle opposite to equal sides are also equal.

so, <QPR = <QRP = 32 degree

Learn more about isosceles triangle here:

https://brainly.com/question/2456591

#SPJ7

Answer:

Depending on how much he had before he bought the game system.

Answer

It is (7,9) (5,9) and (6,8)

Step-by-step explanation:

Answer:

x = -7       y = 35

Step-by-step explanation:

-5x = -7x - 14

2x = -14

x = -7

y = -5(-7)

y = 35

Answer:

2 1/3

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

The 2 angles lie on a straight line and sum to 180° , then

x - 6 + 8x + 24 = 180

9x + 18 = 180 ( subtract 18 from both sides )

9x = 162 ( divide both sides by 9 )

x = 18

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND :}}}[/tex]

The value of [tex]x[/tex].

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { x\:=\:18}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

➪ [tex]x[/tex] - 6 + 8[tex]x[/tex] + 24 = 180°

➪ 9[tex]x[/tex] + 18 = 180°

➪ 9[tex]x[/tex] = 180° - 18

➪ 9[tex]x[/tex] = 162

➪ [tex]x[/tex] = [tex]\frac{162}{9}[/tex]

➪ [tex]x[/tex] = 18

Therefore, the value of [tex]x[/tex] is 18.

Now, the two angles are:-

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

✒ 12° + 168° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\sf\blue{Hence\:verified.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

Answer:

£9000

Step-by-step explanation:

= £10 000× 5 ×2

100

= 1000

= £10 000-1000

= £9000

Answer:

The First answer

Step-by-step explanation:

56 divided by 2 is the radius which is 28 and that squared times pi is 2464

Answer:

f=1

Step-by-step explanation:

Answer:

Then vaule of f is 1

Step-by-step explanation:

The vaule of f is 1 because 7 x 1 = 7 - 1 =6

Answer:

67.38 degrees

Step-by-step explanation:

Here, we want to find the value of the angle at X

We are going to use the appropriate trigonometric ratio here

From the question, the vertex X faces the side 12 and that makes the side the opposite

The side 13 faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects both is the sine

so we have that;

sine X = 12/13

X = arc sin (12/13)

X = 67.38

Answer: 0.3 repeating as a fraction is equal to 1/3explanation:

Answer:

5

Step-by-step explanation:

Answer:

y:3 4

Step-by-step explanation:

[tex]\sqrt{34} x \sqrt{y} :34\\\sqrt{34y}:34\\34y:1156\\[/tex]

[tex]y:34\\\sqrt{34} \sqrt{34}:34\\ 34:34\\y:34[/tex]

Answer:

The answer is "Option b".

Step-by-step explanation:

[tex]m\angle A = 55^{\circ}\\\\m\angle B = 44^{\circ}\\\\m\angle C = 180^{\circ}-(55^{\circ}+44^{\circ})\\\\[/tex]

         [tex]= 180^{\circ}-99^{\circ}\\\\=81^{\circ}\\\\[/tex]

 [tex]\frac{a}{\sin 55^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\a = \frac{68 \ \sin 55^{\circ}}{\sin 44^{\circ}}\\\\a= 80.2^{\circ}\\\\\frac{c}{\sin 81^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\c = \frac{68 \ \sin 81^{\circ}}{\sin 44^{\circ}}\\\\c= 96.7^{\circ}\\\\[/tex]

Step-by-step explanation:

Hola supiste algo bro o no

Answer:

(- x + 9)(- x - 9)

(x y + x)(x y + x)

(2 x - 3)(- 3 + 2 x)

(16 - x squared)(x squared - 16)

(4 y squared + 25)(25 + 4 y squared)

Step-by-step explanation: