Solve the equation . Check your solution

Answer:

probability is one for the position of the fourth vertex

it's co ordinates will be (2,2)

Answer:

The following are the solution to the given points:

Step-by-step explanation:

for point A:

[tex]\to A={(x,y,z)|3x+8y-5z=2} \\\\\to for(x_1, y_1, z_1),(x_2, y_2, z_2) \varepsilon A\\\\ a(x_1, y_1, z_1)+b(x_2, y_2, z_2) = (ax_1+bx_2,ay_1+by_2,az_1+bz_2)[/tex]

                                        [tex]=3(aX_l +bX_2) + 8(ay_1 + by_2) — 5(az_1+bz_2)\\\\=a(3X_l+8y_1- 5z_1)+b (3X_2+8y_2—5z_2)\\\\=2(a+b)[/tex]

The set A is not part of the subspace [tex]R^3[/tex]

for point B:

[tex]\to B={(x,y,z)|-4x-9y+7z=0}\\\\\to for(x_1,y_1,z_1),(x_2, y_2, z_2) \varepsilon B \\\\\to a(x_1, y_1, z_1)+b(x_2, y_2, z_2) = (ax_1+bx_2,ay_1+by_2,az_1+bz_2)[/tex]

                                             [tex]=-4(aX_l +bX_2) -9(ay_1 + by_2) +7(az_1+bz_2)\\\\=a(-4X_l-9y_1+7z_1)+b (-4X_2-9y_2+7z_2)\\\\=0[/tex]

[tex]\to a(x_1,y_1,z_1)+b(x_2, y_2, z_2) \varepsilon B[/tex]

The set B is part of the subspace [tex]R^3[/tex]

for point C: [tex]\to C={(x,y,z)|x<y<z}[/tex]

In this, the scalar multiplication can't behold

[tex]\to for (-2,-1,2) \varepsilon C[/tex]

[tex]\to -1(-2,-1,2)= (2,1,-1)[/tex] ∉ C

this inequality is not hold

The set C is not a part of the subspace [tex]R^3[/tex]

for point D:

[tex]\to D={(-4,y,z)|\ y,\ z \ arbitrary \ numbers)[/tex]

The scalar multiplication s is not to hold

[tex]\to for (-4, 1,2)\varepsilon D\\\\\to -1(-4,1,2) = (4,-1,-2)[/tex] ∉ D

this is an inequality, which is not hold

The set D is not part of the subspace [tex]R^3[/tex]

For point E:

[tex]\to E= {(x,0,0)}|x \ is \ arbitrary) \\\\\to for (x_1,0 ,0) ,(x_{2},0 ,0) \varepsilon E \\\\\to a(x_1,0,0) +b(x_{2},0,0)= (ax_1+bx_2,0,0)\\[/tex]

The  [tex]x_1, x_2[/tex] is the arbitrary, in which [tex]ax_1+bx_2[/tex]is arbitrary  

[tex]\to a(x_1,0,0)+b(x_2,0,0) \varepsilon E[/tex]

The set E is the part of the subspace [tex]R^3[/tex]

For point F:

[tex]\to F= {(-2x,-3x,-8x)}|x \ is \ arbitrary) \\\\\to for (-2x_1,-3x_1,-8x_1),(-2x_2,-3x_2,-8x_2)\varepsilon F \\\\\to a(-2x_1,-3x_1,-8x_1) +b(-2x_1,-3x_1,-8x_1)= (-2(ax_1+bx_2),-3(ax_1+bx_2),-8(ax_1+bx_2))[/tex]

The [tex]x_1, x_2[/tex] arbitrary so, they have [tex]ax_1+bx_2[/tex] as the arbitrary [tex]\to a(-2x_1,-3x_1,-8x_1)+b(-2x_2,-3x_2,-8x_2) \varepsilon F[/tex]

The set F is the subspace of [tex]R^3[/tex]

32 ounces.

128/4 = 32

Answer: is b andrea

Step-by-step explanation: i just took the same test

Answer:

Thy answer is B my queen

Step-by-step explanation:

Answer:

Step-by-step explanatio11n:

116

Answer: 26.95 * 3 = 80.85

              250/0.24 = 60

Answer:

229.50 ÷ 8.50= 27 people

Answer:2:3

Step-by-step explanation:

Hope it helped

Answer:

Sqrt(7) is irrational because 7 is not a perfect square.

7.1234... is irrational because it is a nonterminating nonrepeating decimal.

Step-by-step explanation:

A rational number is a number that can be expressed in terms of fractions which result in terminating decimals, repeating decimals, or integer values.

An irrational number is a number that cannot be expressed in terms of fractions resulting in nonrepreating nonterminating decimals.

All options other than the two selected do not make sense.  Pi is irrational because it is a nonrepeating nonterminating decimal.

Cheers.

Answer: i am also looking for the answer so far i’ve gotten x=200 but it told me it was wrong feel free to try it i guess

Answer:

24 ft²

Step-by-step explanation:

find the length of the base of each triangle through a² + b² = c², c being hypotenuse.

after finding the length of each individual base, use A= 1/2bh (multiply base and height and then divide by 2) to calculate area of each triangle. then add and round. hope this helps

Answer: 3630

Step-by-step explanation:

Given that:

Volume of container = 98,000 cubic volume

Volume of cabinet = 27 cubic volume

The number of cabinets which the container will. Hold equals:

Volume of container / volume of cabinet

= 98000 cubic volume / 27 cubic volume

= 3629.6296

The container will hold approximately 3630 27 cubic volume of cabinet.

Answer:

B

Step-by-step explanation:

Answer: B. Recycling

Step-by-step explanation: Recycling is turning something like newspapers and making them into new products.

Mark Brainliest if you want!

Answer:

27 - 50k

Simplify

1. Distribute

-5 ( 1 + 2k ) - 8 ( -4 + 5k )

-5 - 10k - 8 ( -4 + 5k )

2. Distribute

-5 - 10k - 8 ( -4 + 5k )

-5 - 10k + 32 - 40k

3. Add the numbers

-5 - 10k + 32 - 40k

27 - 10k - 40k

4. Add the same term to both sides of the equation

27 - 10k - 40k

27 - 50k

Answer:  C) f(n) = 20 + 2(n - 1)

Step-by-step explanation:

The explicit formula is: [tex]a_n=a_1+d(n-1)[/tex]     where

Given: In the first year he paid $20  --> [tex]a_1[/tex] = 20

          Dues increase $2 each year --> d = 2

[tex]a_n[/tex] = 20 + 2(n - 1)

Answer:

C  f(n) = 20 + 2(n – 1)

Step-by-step explanation:

got it right on test

Answer: $160

Step-by-step explanation: If she works 40 hours a week, than that is $360 a week, if she pays the sitter $5 a week, then that means she pays the sitter $200 a week.  Subtract and you get $160.  

Answer:

bxe is a triangle

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

a₃ = -2

a₇ = -10

The nth term of an arithmetic sequence is:

a = a₁ + d (n − 1)

Therefore:

-2 = a₁ + d (3 − 1) = a₁ + 2d

-10 = a₁ + d (7 − 1) = a₁ + 6d

Subtract the equations:

8 = -4d

d = -2

Plug into either equation to find the first term.

-2 = a₁ + 2(-2)

a₁ = 2

Russell would run 182 miles for 1 minute.

Answer:

percentage flim rated very good = 54/80*100%

                                                      = 67.5%

Step-by-step explanation:

Did you just copy and paste your assignment??

If yes, please do not do such a thing and give it in a question by question basis, sorry but I can't type such a big one. Suggestion!!

Answer:

KCC off KCC off off egg LLC

Answer:

rational

Step-by-step explanation:

3by3=3/3

= 1

1 is not eq. to 9

and 3/3 is 1

and 1 is rational no.

Answer:

r=8

Step-by-step explanation:

r*4=32

32/4=8

Therefore, r=8

Answer:

r = 8

Step-by-step explanation:

Ok don't worry. This question is not as hard as it should be.

It states it's a balanced equation. So that means 32 is equal to the other side.

there are 4 r's on the other side

32=4r

Divide 4 on both sides so the variable is independent

32/4=4r/4

8=r

Hope this helps!

Answer:

[tex]5.4x+15[/tex] inches

Step-by-step explanation:

This is an equilateral triangle.

Therefore, all sides are equal to each other. This means that we don't need to go through the whole hassle of adding up all the sides together. We can just take the easiest side and multiply it by 3 (as the perimeter of an equilateral triangle is [tex]3s[/tex], s being the side length.)

In my opinion, the side [tex]1.8x+5[/tex] is the easiest to work with.

Let's multiply this by 3.

[tex]3(1.8x+5)[/tex]

We can apply the distributive property - multiply all terms inside the parentheses by 3.

[tex]1.8\cdot 3 = 5.4\\5\cdot3 = 15\\\\5.4x+15[/tex]

Hope this helped!

Answer:

this is confusing and my head hurts

Step-by-step explanation:

Answer:

i think its 24

Step-by-step explanation:

Answer:

Perpendicular Bisector Equation: y = 12x - 9.500

Step-by-step explanation:

Let find out the midpoint for given coordinates as follows:

[(-5+7)/2, (3 +2)/2]

= (2/2, 5/2)

= (1,5/2)

The midpoint coordinates are (1,5/2) means (x1 , y2)

2. Find the slop of line for given coordinates as follows:

(2-3)/(7-(-5)

= -1/12

3. Find the negative reciprocal as follows

-1/12

= 12 (m)

4. Now find the perpendicular bisector equation as follows:

y – y1 = m ( x – x1)

y – 3 = 12 (x – (-5)

y = 12x - 9.5

The required equation of the line is x + 12y = 41 which is the perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).

A perpendicular bisector is defined as a line that divides an angle into two equal angles.

The perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).

We have to determine the equation of the line

Let x₁ = -5, y₁ = 3 and x₂ = 7, y₂ = 2

The required of equation line is:

y - y₁ = (y₂ - y₁ )/( x₂ - x₁ )( x - x₁ )

Substitute the values in the formula to get the line,

y - 3 = (2 - 3)/(7 - (-5))(x - (-5))

y - 3 = (-1/12)(x+5)

12y - 36 = -x -5

x + 12y = 41

Thus, the required equation of the line is x + 12y = 41.

To learn more about the equations click here:

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Answer: in the domain of this situation, there is no asymptote.

Step-by-step explanation:

Asymptote would be on the left where x is negative but this function only shows all positive values of X

The value of k is -0.25. The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold.

The graph shows that the number of consoles sold each day after the launch of the Brighton Company gaming console follows an exponential decay pattern. This means that the number of consoles sold each day is decreasing at a rate that is proportional to the number of consoles that have already been sold.

The equation that can be used to model this exponential decay pattern is:

N = A * [tex]e^{-kt[/tex]

where:

N is the number of consoles sold on day t

A is the initial number of consoles sold (200 consoles)

k is a constant that determines the rate of decay

e is the base of the natural logarithm

We can use the data from the graph to estimate the value of k. The first day after the launch, 180 consoles were sold. This means that on day 1, N = 180. The initial number of consoles sold, A, is known to be 200 consoles. Therefore, we can write the following equation:

180 = 200 * [tex]e^{-kt[/tex]

Solving for k, we get:

k = -ln(1.8) / 1

≈ -0.25

The value of k is approximately -0.25. This means that the number of consoles sold each day is decreasing at a rate of 25%.

We can use the equation to predict the number of consoles sold on future days. For example, on day 2, we would predict that 150 consoles would be sold. On day 3, we would predict that 120 consoles would be sold.

The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold. This is because the exponential decay pattern is not perfect. There are other factors that can affect the number of consoles sold, such as the availability of the console and the price of the console.

To learn more about graph here:

https://brainly.com/question/17267403

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