what formula do we use to find the midpoint of a line segment?

Answer:

76°

Step-by-step explanation:

starting fromX ,the line coming from the north pole and ending at the line coming from Y while moving in clockwise direction is the bearing of Y from X

= 180-104=76°

The price before tax of the books at Barnes and Noble would be 44$ - 25.1$ = 18.9$ if you use your coupon.

The price before tax of the books at Target would be 35$ - 51.1$ = -16.1$ if you use your Red card discount. However, the final price of the books cannot be negative, so the price before tax of the books at Target would be 35$ if you use your Red card discount.

Answer: A

Step-by-step explanation:

The polynomial has roots at \(x=-4, -2, 4\).

So, the equation should have factors of \((x+4), (x-2), (x-4)\).

This eliminates everything except for A.

Answer:

So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.

Answer:

15

Step-by-step explanation:

There are 6 letters in the word number

This is 6 choose 2

This is a combination

The formula is 6! / ( 2! * (6-2)! )

                           6! / 2! 4!

                           (6*5*4*3*2*1) / ( 2*1 *  4*3*2*1)

Canceling like factors

                             (6*5) / ( 2*1)

                              30/2

                                 15

There are 15 possible ways to have 6 choose 2

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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Answer:

As shown in picture, if MC is median of triangle ABC, M is midpoint of AB.

Denote the coordinate of A, B and M are (Ax, Ay), (Bx, By) and (Mx, My) respectively.

The formula relating coordinate of A, B and M is:

Ax + Bx = 2Mx

Ay + By = 2My

In detail,

-1 + Bx = 2 x 4 => -1 + Bx = 8 => Bx = 9

11 + By = 2 x 11 = > 11 + By = 22 => By = 11

=> Option D is correct

Hope this helps!

:)

Step-by-step explanation:

1 case = 24 bottles

365 cases = 365×24 = 8,760 bottles

Answer:

\(Area = 81cm^2\)

Step-by-step explanation:

Given

\(Length = 12\)

\(Width = 6cm\)

Required

Determine the area of a square with the same perimeter

First, calculate the perimeter (P) of the rectangle.

\(P=2*(Length + Width)\)

\(P=2*(12 + 6)\)

\(P=2*18\)

\(P=36\)

The perimeter of a square is:

\(P = 4L\)

Where L is the side length.

Substitute 36 for P

\(36 = 4L\)

Make L the subject

\(L =\frac{36}{4}\)

\(L =9\)

The area of the square is:

\(Area = L^2\)

\(Area = 9^2\)

\(Area = 81cm^2\)

Answer:

y = 1 and y = 5

Step-by-step explanation:

\(( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5\)

The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5

The equation is given as:

(3y-9)^2+7 = 43

Subtract 7 from both sides of the equation

(3y - 9)^2 = 36

Take the square root of both sides

3y - 9 = ±6

Add 9 to both sides

3y = 9 ± 6

Divide through by 3

y = 3 ± 2

Expand

y = (3 - 2 or 3 + 2)

Evaluate

y = 1 or 5

Hence, the values of y are 1 and 5

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The ages of Sari and her mother is 15 and 36 respectively

It is important to note that linear equations are defined as equations having the greatest degree of x as 1.

From the information given, we have that;

Let Sari's age be x

Let her mother's age be y

Then, we have that;

2x + 1/2y = 48

3x = y + 9

Make 'y' the subject from equation 2, we have;

y = 3x - 9

Substitute the value in equation 1

2x + 3x - 9/2 = 48

Find the LCM

4x + 3x - 9/2 = 48

cross multiply

7x - 9 = 96

collect like terms

7x = 105

Sari's age, x = 15 years

Her mother's age = 45 - 9 = 36 years

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The age of Sari and her mother is 15 and 36 years respectively.

The sum of twice Sari's age and half her mother's age is 48. Triple sari's age is 9 years more than her mother's age.

Therefore, the age of Sari and her mother are as follows:

let

x = Sari's age

y = mother's age

Hence,

2x + 1 / 2y = 48

3x = y + 9

Therefore,

4x + y = 96

3x - y = 9

add the equations

7x = 105

x = 105 / 7

x = 15

Therefore, let's find y

y = 96 - 4(15)

y = 96 - 60

y = 36

Hence,

Sari's age = 15 years

Mother's age = 36 years

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Answer:

100

Step-by-step explanation:

482 ÷ 5 = 96.4

96.4 -> 100

Hope this helps! Brainliest?

Answer:

Quotient: 96

Step-by-step explanation:

482/5= 96R2

Quotient: 96

Remainder: 2

If D is the vertex on the bottom face of the cube below ∆ABC, then ∆BCD is an isosceles right triangle with legs of length 4, so BC has length 4√2.

The right triangles ∆ABD and ∆ACD both have legs of length 4 (on the bottom face) and 8 (the length of AD) so the hypotenuses AB and AC each have length √(4² + 8²) = 4√5.

Then in ∆ABC, the altitude has length x such that

(4√5)² = x² + (1/2 × 4√2)²

80 = x² + 8

x² = 72

x = √72 = 6√2

Presumably, you meant to say that this altitude has length a√b. Then a = 6 and b = 2, so a + b = 8.

The measure of a + b given that \(a\sqrt{b} = 6\sqrt{2}\) is 8

From the given diagram, we have that the side length of the cube is 8units.

Let the midpoint of BC is E. The required length will be AE

Get the hypotenuse AC using Pythagoras theorem;

AO = 8 units

OC = 3 units

Get the measure of AC

\(AC^2 = AO^2+OC^2\\AC^2=8^2+4^2\\AC^2=64+16\\AC^2=80\\AC^2=80\\AC=4\sqrt{5}\)

Next is to get the length of BC using Pythagoras theorem:

\(BC^2=4^2+4^2\\BC^2=16+16\\BC^2=32\\BC = \sqrt{32}\\BC=4\sqrt{2}\)

Get the measure of EC

\(EC=\frac{4\sqrt{2} }{2} \\EC=2\sqrt{2}\)

Get the required length of AE using Pythagoras theorem;

\(AC^2=AE^2+EC^2\\(4\sqrt{5})^2= AE^2+(2\sqrt{2} )^2\\AE^2=80-8\\AE^2=72\\AE=\sqrt{72}\\AE =\sqrt{36\times 2}\\AE=6\sqrt{2}\)

Compare with the radical function \(a\sqrt{b}\), where a = 6 and b = 2, hence \(a+b= 6+2 =8\)

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2x + 3y

ordered pair = (x,y) = (6,0)

Replace in the expression:

2(6)+3(0)

12 +0

12

The ordered pair makes the expression equal to 12.

Answer:

t=13

Step-by-step explanation:

the ratio of the shorter sides is t/4 and the ratio of the longer sides is 26/8 so t=26×4/8=104/8=13

Answer: t=13in

Step-by-step explanation: As you can see in the smaller square, the number 4 is in the place of the letter t. Which means that the width (4) is half of the longitud (8). Therefore, in the bigger square all you need to do it divide the longitud (26) by two, to find the width (t). Which is equal to 13in.

I hope you found this answer helpful! If you did, give it a five-star rating and I thanks! It would really mean a lot.

(Even a brainliest if you feel like it ;D!)

Long division technique exists utilized for dividing one number by another number.

The first number, 46 exists named the dividend.

The second number, 296 exists named  the divisor.

Therefore, 46 divided by 296, the final solution exists at 0.

Step 1: Take the first digit of the dividend from the left. Check if this digit exists greater than or equivalent to the divisor.

Step 2: Then divide it by the divisor and write the solution on top as the quotient.

Step 3: Subtract the outcome from the digit and write the difference below.

8

Given:

The first number, 46 exists named the dividend.

The second number, 296 exists named  the divisor.

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, then  

2 9 6 ⟌ 4p 6

We can work out that the divisor (296) goes into the first digit of the dividend (4), 0 time(s). Now we know that, we can put 0 at the top:

       0    

2 9 6 ⟌ 4 6

If we multiply the divisor by the result in the above step (296 x 0 = 0), we can now add that answer below the dividend:

       0    

2 9 6 ⟌ 4 6

      0    

subtract the outcome from the above step from the second digit of the dividend (4 - 0 = 4)

       0    

2 9 6 ⟌ 4 6

   -         0  

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

             4    

Move the second digit of the dividend (6) down like so:

       0    

2 9 6 ⟌ 4 6

   -         0  0

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

             4 6

The divisor (296) goes into the bottom number (46), 0 time(s), so we can put 0 on top:

       0  0  

2 9 6 ⟌ 4  6

   -         0  0

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

             4 6

Multiply the divisor by the result in the above step (296 x 0 = 0), we can now add that answer below the dividend:

       0 0  

2 9 6 ⟌ 4 6

   -         0  0

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

             4 6  

                                        0

subtract the result from the above step from the third digit of the dividend (46 - 0 = 46) and write that solution at the bottom:

       0 0  

2 9 6 ⟌ 4 6

   -         0  0

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

             4 6  

                                        0

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

             4 6  

Therefore, 46 divided by 296, the final solution exists at 0.

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Answer:

For the first one it is BEA and the second one is CED

I hope this help I would also appreciate brainliest please :)

9514 1404 393

Answer:

  D = {5, 6, 7, 8}; R = {-3, -2, 0, 10}; is a function

Step-by-step explanation:

The domain is the list of x-values. The range is the list of y-values. We often like to see these lists in order smallest to largest.

If there are no repeated x-values, then the relation is a function.

  D = {5, 6, 7, 8}

  R = {-3, -2, 0, 10}

  Function? yes

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

Step-by-step explanation:

Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.

The absolute value will be 90 when the argument of the function is either -90 or +90.

The question resolves to two equations:

These two-step linear equations can be solved in the usual way:

Then ...

Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.

Answer:

\(3A + B =2m^2+6m+3\)

Step-by-step explanation:

Given

\(A = 2m + 1\)

\(B = 2m^2\)

Required

Find \(3A + B\)

\(3A + B =3(A) + B\)

Substitute values for A and B

\(3A + B =3(2m+1) + 2m^2\)

Open bracket

\(3A + B =6m+3 + 2m^2\)

Reorder

\(3A + B =2m^2+6m+3\)

The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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To find the period

  ⇒ let's define what the period is

Definition of Period:  the interval of time between successive occurrences of the same state in an oscillatory or cyclic phenomenon

Based on the definition:

     ⇒it states that we must look for how long it takes the function to

         complete one cycle of repetition

In this graph: it takes \(\pi /2\) to complete one period or one cycle of repitition

Answer: \(\frac{\pi }{2}\)

Hope that helps!

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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The required measure of Street K between Street C and D is 337.5 ft.

What is the equality of proportionality?

The equivalence between two ratios in algebra. A and B are in the same ratio as C and D in the formula a/b = c/d. When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.

Here, we have

Given: In a certain city, E Street, W Street, C Street, and D Street are parallel streets that intersect K Street and M Street. How long K Street is between C Street and D Street is to be determined.

Let the distance of street K between C and D be x,

Now,

Taking the equality of the proportionality expression of triangles,

600 / 400 = 600 + x / 400 + 250

6 / 4 = 600 + x / 625

3750/4 = 600 + x

937.5 = 600 + x

x = 337.5

Hence, the required measure of Street K between Street C and D is 337.5 ft.

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Answer:

1.) p = 88.66

2.) m = 17

Step-by-step explanation:

1.) p - 23.76 = 64.9

p - 23.76 + 23.76 = 64.9 + 23.76

p = 88.66

2.) m + 78 = 95

m + 78 - 78 = 95 - 78

m = 17

Hope this helps and stay safe, happy, and healthy, thank you :) !!

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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The solution to the inequality 5x - 25 > -15 in inequality and interval notation form are x > 2 and (2,∞)

A linear inequality is simply an expression where two values are compared by the inequality symbols <, >, ≤ or ≥.

Given the data in the question;

5x - 25 > -15

To solve for x, bring all terms containing the variable to the left side of the equation and the terms without variables to the right side of the equation.

5x - 25 > -15

Add 25 to both sides

5x - 25 + 25 > -15 + 25

5x > -15 + 25

5x > 10

Divide each term in 5x > 10 by 5 and simplify.

5x > 10

5x/5 > 10/5

x > 2

Therefore, the solution to inequality is x > 2.

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