What is the answer for the explanation

Answer:

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

Step-by-step explanation:

5y + 12 = [tex]\frac{-8}{y}[/tex]

y*(5y+12)=-8

5[tex]y^{2}[/tex] + 12y = -8

5[tex]y^{2}[/tex] + 12y + 8 = 0

Δ(Delta) = [tex]b^{2}[/tex] - 4ac

= [tex]12^{2}[/tex] - 4*5*8

= -16

Δ<0

therefore we have complex number

y = [tex]\frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{|Delta|} }{2a}[/tex]

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

Answer:

Step-by-step explanation:

Conclusion:

Therefore:

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

R = 3t/t₋1

Step-by-step explanation: I'm not sure if its correct.

Hello there, this is how we would solve this problem, we can see that angle KAE equals 90° and we have an angle that equals 62° now since angle GCJ or also known as x is a vertical angle with IAD we can make the following equation

[tex]x+62+90=180[/tex] subtract 62 and 90 from both sides and we get that [tex]x=28[/tex]°

Answer:

-10, -8

Step-by-step explanation:

a + b = -18

a * b = 80

Solve:

from the first eq.

a = 18 - b

replacing this value in the secon eq.

(18-b)*b = 80

18*b + b*-b = 80

-b² + 18b = 80

-b² + 18b - 80 = 0

b = {-18±√((18)² - (4*-1*-80))] /(2*-1)

b = {-18±√(324.320)} / -2

b = {-18±√4} / -2

b = {-18±2} / -2

b₁ = {-18-2} / -2 = -20/-2 = 10

b₂ = {-18+2} / -2 = -16/-2 = 8

The two number must be negatives, so the numbers are:

-10 and -8

Check:

-10 + (-8) = -10 - 8 = -18

-10*-8 = 80

Answer:

[tex]a_n=\frac{1}{2}a_{n-1}[/tex]

Step-by-step explanation:

Here, you can see every consecutive term is divided by 2. I think that's pretty obvious looking at it, but you can work it out like this if you'd like to. Divide each consecutive term by the one before it:

[tex]6\div12=\frac{1}{2}\\\\3\div6=\frac{1}{2}\\\\\frac{3}{2}\div3=\frac{1}{2}[/tex]

Each term is multiplied by 1/2 over the last, or divided by 2. In this case actually, we do want it in the form of "multiplied by 1/2", as the recursive equation is:

[tex]a_n=xa_{n-1}[/tex]

where x is the factor. Here, we're multiplying by x, so we want "multiplied by 1/2" as described above. x is 1/2, so you can write the equation:

[tex]a_n=\frac{1}{2}a_{n-1}[/tex]

You can simply interpret this as "each term is 1/2 of the term before it"

Answer:

B and A

Step-by-step explanation:

What I did for these problems is plug in the numbers listed for the x-value. For example, in your calculator you’d put; (1/2)^3 and that’d get you 1/8. Then, try it for 8^(2 - 3) which is also 1/8. So, (1/2)^3 = 8^(2 - 3).

The same process for the second problem. 16^(2(7/3) -3) = 4^((7/3) + 1). This should give you 101.59…

I hope this helps :)!

Answer:

7

Step-by-step explanation:

That means 4.3 (2.7) = 7

The negative signs get removed because negative × negative = positive

Proof:-

In ∆XYZ and ∆VWZ

[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]

Hence

∆XYZ[tex]\cong[/tex](Side-Angle-Side)

Answer:

The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.

For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.

For p=5/36, that's

(536)25+636=2511⋅36,

and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is

836+236(2511+1610+99)=244495=12−7990≈12−0.007.

Step-by-step explanation:

Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:

p(4)=336+2736p(4),so thatp(4)=13.

Repeat this reasoning for the other outcomes and then compute the total probability of winning as:

ptot=836+336p(4)+436p(5)+…

Hi there!

Since this is a one-step equation, we can solve it in one step.

This step is multiplying both sides by 4 to isolate x:

x=16*4

x=64

Therefore, x=64.

Hope it helps!

~GracefulGirlie

Good luck. :)

Answer:

X = 64

Step-by-step explanation:

x/4 = 16

Multiply both sides by 4

x = 16 x 4

Multiply 16 and 4 equals 64

I used the Microsoft math solver app, if this answer is correct you can use it as a tool for future math problems. I used it a lot in my math class. Hope this helps :)

Answer:

Part A:

Gwen equation

x + 10y = 30

Part C:

Keith equation:

x + 10y = 30

Part B:

Tristan equation:

x + 15y = 40

Part D:

You would use Keith's and Tristan's equation, because Gwen and Keith have the same exact equation so you can just use Keith's equation.

Part E:

Multiply the second equation by -1, then add the equations together.

(x+10y=30)

-1(x+15y=40)

Becomes:

x + 10y = 30

-x - 15y = - 40

Add these equations to eliminate x:

-5y = -10

-5y/5 = -10/5

so y = 2

Now lets find x, so lets plug it in x + 10y = 30.

x + 10(2) = 30

x + 20 = 30 ( do 30-20)

x = 10

We used elimination to solve this problem.

The entree fee is $10 and each ticket costs $2.

Part F:

For this part search graph tool and go on the app, then put Keith's and Tristan's equation in Graph Tool. Once you do that just screenshot it and paste it to Part F, then your answer should be Yes, you get the same solution when it is solved algrebraically.

Step-by-step explanation:

I really hope this helps you!!!! :D Mark brainliest if it does!!!!

Answer: Part A:

Gwen equation

x + 10y = 30

Part C:

Keith equation:

x + 10y = 30

Part B:

Tristan equation:

x + 15y = 40

Part D:

You would use Keith's and Tristan's equation, because Gwen and Keith have the same exact equation so you can just use Keith's equation.

Part E:

Multiply the second equation by -1, then add the equations together.

(x+10y=30)

-1(x+15y=40)

Becomes:

x + 10y = 30

-x - 15y = - 40

Add these equations to eliminate x:

-5y = -10

-5y/5 = -10/5

so y = 2

Now lets find x, so lets plug it in x + 10y = 30.

x + 10(2) = 30

x + 20 = 30 ( do 30-20)

x = 10

We used elimination to solve this problem.

The entree fee is $10 and each ticket costs $2.

Part F:

For this part search graph tool and go on the app, then put Keith's and Tristan's equation in Graph Tool. Once you do that just screenshot it and paste it to Part F, then your answer should be Yes, you get the same solution when it is solved algrebraically.

Step-by-step explanation:

I really hope this helps you!!!! :D Mark brainliest if it does!!!!

Step-by-step explanation:

Answer:

d = 6

Step-by-step explanation:

sorry for late awenser

The value of the equation is d = 6

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

4 ( d - 5 ) - 6 = 2 ( 8 - d ) - d   be equation (1)

On simplifying the equation , we get

4d - 20 - 6 = 16 - 2d - d

On further simplification , we get

4d - 26 = 16 - 3d

Adding 3d on both sides of the equation , we get

7d - 26 = 16

Adding 26 on both sides of the equation , we get

7d = 42

Divide by 7 on both sides of the equation , we get

d = 6

Therefore , the value of d is 6

Hence , the equation is d = 6

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

Parallel: a and b

Perpendicular: none

Step-by-step explanation:

You are given the coordinates of each line.

To check if they are parallel or perpendicular, need to find slope.

In this case we can use :

m = (y2 - y1) / (x2 - x1)

So for line a:

(1,5) and (-2, -4)

slope = (-4 - 5) / (-2 - 1)

slope = -9/-3

slope = 3

Line b:

(3, 2) and (1, -4)

slope = (-4 - 2)/(1 - 3)

slope = -6/-2

slope = 3

Line C:

(6, 1) and (-4, 2)

slope = ( 2 - 1) / ( -4 -6)

Slope = 1/ -10

slope = - 1/10

Line A and B are parallel because their slopes are the same.

To check if they are perpendicular, we need to know if their slopes are reciprocals.

Here none of them are perpendicular to each other

Answer:

this is hard

Step-by-step explanation:

[tex]\dfrac{\tan t}{\cos t}\\\\\\=\dfrac{\tan t \cdot \cos t}{\cos t \cdot \cos t}\\\\\\=\dfrac{\sin t}{\cos^2 t}\\\\\\=\dfrac{\sin t}{1 - \sin^2 t}\\[/tex]

Answer:

answer is D

Step-by-step explanation:

speed = distance divide by time.

299.8/ 7 .5

40

Answer:12

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

5x+15+2=5x+17

2 Simplify 5x+15+25x+15+2 to 5x+175x+17.

5x+17=5x+17

5x+17=5x+17

3 Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions

Answer:

488

Step-by-step explanation:

If 2 angles are formed on a line, then they make a supplementary / linear pair of angles, i.e, both the angles form 180°.

Here,

Angle A = 80°

Angle B = x°

So,

Angle A + Angle B = 180°

80° + x° = 180°

x° = 180° - 80°

x° = 100°

=》 Angle B = 100°

_____

Hope it helps ⚜

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

525

Step-by-step explanation:

hope this helps

Answer:

526

Step-by-step explanation:

(2,5) and (4,13)

y - y1 = y2 - y1

x - x1    x2 - x1

y - 5  = 13 - 5 = 8/2 = 4 x - 2     4 - 2

y - 5 = 4x - 8

y = 4x - 3

m = 4, c = -3

Answer:

x = 4

y = 2

Step-by-step explanation:

1) y = 5x - 6

2) y = 4x - 2

sub 1 into 2

5x - 6 = 4x - 2

5x - 4x = 6 - 2

x = 4 ---> (3)

sub 3 into 2

y = (4 * 1) - 2

y = 4 - 2

y = 2

Answer:

4

Step-by-step explanation:

Since they both equal y, they are both equivinlent

[tex]5x-6=4x-2[/tex]

[tex]5x=4x+4[/tex]

[tex]x=4[/tex]

CHECK

[tex]20-6=16-2[/tex]

[tex]14=14[/tex]

[tex]a(n) = {n}^{2} + 3[/tex]

Answer:

nth term is equal to n²+3

Answer:

divide both sides by 5

Step-by-step explanation:

y + 12 = 5

y = -7

Answer:

I am pretty sure it is y=22-4x/3

Step-by-step explanation:

4x+3y=22

(you need to put it in y=mx+b format)

-subtract 4x on both sides-

3y=22-4x

-divide by 3 on both sides-

y=22-4x/3

Not sure if this is correct, but I hope this helps!

Answer:

x=-3, y=4.5

Step-by-step explanation: