On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1). The second triangle has points A prime (2, negative 2), B prime (2, negative 4), C prime (6, negative 4).

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 :

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#SPJ2

Answer:

488

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:

[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:

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:

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 :)!

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

7

Step-by-step explanation:

That means 4.3 (2.7) = 7

The negative signs get removed because negative × negative = positive

Answer:

525

Step-by-step explanation:

hope this helps

Answer:

526

Step-by-step explanation:

Answer:

b= -1/5

Step-by-step explanation:

Though a variable's sign changes when it is multiplied by -1, its absolute value does not. Therefore, we can eliminate the 1:

1/5+b=0

b+1-1/5=0-1/5

b+0/5= 0 -1/5

b=0 -1/5

and you have b= -1/5 as your answer

Answer:12

Step-by-step explanation:

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 :)

A perfect square trinomial is represented by the equation [tex]x^2-6x+9[/tex] and this can be determined by using the factorization method.

Given :

A perfect square trinomial can be represented by a square model with equivalent length and width.

The following steps can be used in order to determine the polynomial that can be represented by a perfect square model:

Step 1 - First, check option a) [tex]x^2-6x+9[/tex] is a perfect square or not.

Step 2 - Try to factorize the above equation.

[tex]x^2-6x+9 = x^2-3x-3x+9[/tex]

[tex]x^2-6x+9 = x(x-3)-3(x-3)[/tex]

[tex]x^2-6x+9 = (x-3)^2[/tex]

Step 3 - The equation in option a) represents the perfect square trinomial.

From, the above steps, it can be concluded that the correct option is a).

For more information, refer to the link given below:

https://brainly.com/question/2263981

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:

answer is D

Step-by-step explanation:

speed = distance divide by time.

299.8/ 7 .5

40

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:

[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:

5

Step-by-step explanation:

3x - 5 = 10

3x = 15

x = 5

I hope it helps bye, good luck

Answer:

x=5

Step-by-step explanation:

Move all terms not containing  x  to the right side of the equation.

Add  5 to both sides of the equation.

3x = 10 + 5

Add 10 and 5

3x = 15

Divide each term in  3x = 15  by 3  and simplify.

3x/3 = 15/3

Simplify the left side

Cancel the common factor of  3

x = 15/3

Divide 15 by 3

x = 5

Answer:

this is hard

Step-by-step explanation:

Answer:

B, 13.2

Step-by-step explanation:

Multiply 60 by 0.22 for your answer and you get 13.2

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!

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:

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:

15 Nachos and 23 Powerades were sold.

Brainliest is appreciated. (The crown)

[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:

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]

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)+…

Answer:

Good night sagey!!!! sleep well