What is the distance between the points (13 , -19) and (-12 , -19) in the coordinate plane?

Answer:

a)\(a_{n}\) =−2n+14

b)\(a_{n}\)  = − 5 n + 30

Answer:

let the numbers be xy

general form of the number =10x+y

sum of digits of a number =14

x+y=14………[1]

if 18 is added to the number, then digits are interchanged

10x+y+18=10y +x

9x-9y=-18

X-y=-2………[2]

the linear equations are 1) x+y=14

2) X-y=-2

adding [1],[2]

2x=12

x=6

x+y=14

y=14-x

y=14-6

y=8

there fore the number =10*6+8

=68

check:-

1)6+8=14

2)68+18=86

I hope this helped!

Step-by-step explanation:

The total amount of money Melanie and her friends spent if each ticket costs $7 would be $26.

Let's call the total amount of money Melanie and her friends spent "M". We know that they spent $5 on lunch, and they also bought three admission tickets to Adventure Land. Let's call the cost of each ticket "t".

So the equation that represents the total amount of money they spent would be

M = 5 + 3t

If we know that each ticket costs $7, we can substitute that value for "t" in the equation

M = 5 + 3(7)

M = 5 + 21

M = $26

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Answer:

C

Step-by-step explanation:

(x-9)3 on edge

The measure of angle is the greatest of the angles in the triangle. The correct option is c. m ∠Q is the greatest of the interior angles

From the question, we are to determine the statement that is true about triangle PQR

From the given information,

"The perimeter of ΔPQR is 150 centimeters"

PQ = 54 centimeters

PR = 68 centimeters

First, we will determine the length of side QR

QR = 150 cm - (54 cm + 68 cm)

QR = 150 cm - 122 cm

QR = 28 cm

Now,

In a triangle, the angle facing the longest side is the largest angle and the angle facing the shortest side is the smallest angle.

Thus,

In ΔPQR

The angle facing side PR is angle Q

and

The angle facing side QR is angle P

Since PR is the longest side, angle Q is the greatest angle

and

Since QR is the shortest side, angle P is the smallest angle

Hence, m ∠Q is the greatest angle in the triangle.

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Answer:

She spent $3.65 on the notebook

Step-by-step explanation:

5.76 + 3.42 = $9.18

12.83 - 9.18 = $3.65

The slopes of both pairs of opposite sides are equal, by definition, quadrilateral EFGH is a parallelogram.

To prove that quadrilateral EFGH is a parallelogram, we need to show that both pairs of opposite sides are parallel.

First, let's find the coordinates of the midpoints of AB, BC, CD, and DA:

Midpoint of AB:

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

Midpoint of BC:

F = ((4+10)/2, (5-1)/2) = (7, 2)

Midpoint of CD:

G = ((10+8)/2, (-1-9)/2) = (9, -5)

Midpoint of DA:

H = ((8-2)/2, (-9+3)/2) = (3, -3)

Now, let's find the slopes of opposite sides of quadrilateral EFGH:

The slope of EH:

m_EH = (-3-4)/(3-1) = -7/2

Slope of FG:

m_FG = (-5-2)/(9-7) = -7/2

The slope of GH:

m_GH = (-3+5)/(3-9) = -1/2

The slope of EF:

m_EF = (2-4)/(7-1) = -1/3

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Answer: 38% of fish decrease when passing through a single dam

Step-by-step explanation: you would take 100% - 62% which equals 38%

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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The length of the base, of a triangle of 114.31 square kilometers, is 16.1 kilometers.

To find the length of the base of a triangle, we can use the formula for the area of a triangle:

A = (1/2)bh ; where A is the area, b is the base, and h is the height.

We are given the area and the height, so we can plug those values into the formula and solve for the base:
A = (1/2)bh
114.31 = (1/2)b(14.2)
228.62 = 14.2b
b = 228.62/14.2
b = 16.1 km

Therefore, the length of the base of the triangle is 16.1 kilometers.

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The thickness of each cookie is 0.75 inch.

The cookies are in cylindrical container, hence, the shape of cookies will also be cylindrical. Now, the volume of cylinder is given by the formula : V = πr²h, where V refers to volume, r refers to radius and h represents height.

So, volume of 12 cookies will be equal to the cylindrical container.

Radius of cookies = Diameter÷2

Radius of cookies = 5÷2

Radius of cookies = 2.5 inches

Taking π as 3.14

Volume of a stack of cookies = 3.14×2.5²×h

Volume of a stack of cookies = 19.625h

Relating both the volumes to find the value of h

19.625h = 176.715

h = 176.715 ÷ 19.625

Performing division to find the height

h = 9 inches

So, height of 12 cookies is 9 inches

Height of 1 cookie = 9 ÷ 12

Height of 1 cookie = 0.75 inch

Thus, the thickness of each cookie is 0.75 inch.

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Answer:

The absolute value is the number its self unless it's a negative number

Step-by-step explanation:

Hope this helps

Answer:

v= 262 (3 significant figures)

Step-by-step explanation:

volume of hemisphere= 2/3 * π * r³

v= 2/3 * 22/7* 125

v= 261.799388cm3

v= 262 (3 sf)

Answer:

110 is 10% greater than 100

100 is 9 1/11% less than 110

Step-by-step explanation:

10%

9 1/11%

Answer:

10% greater and 9 1/11% less than 110.

Step-by-step explanation:

Answer:

1.70

Step-by-step explanation:

x=4.25/2.50=1.70

Answer:

1/3

Step-by-step explanation:

Answer: Carlos pays $74.00

Step-by-step explanation:

103.6/56 = 1.85

40 x 1.85 = 74

The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = \(\sqrt{4}\)

Side = 2

Hence, The side of the square of each block = 2 feet

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It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

We have,

A triangular formula is used to calculate the area of a triangle, which is a polygon with three sides.

The formula for the area of a triangle is given by:

Area = 1/2 x base x height

where the base and height are two of the sides of the triangle.

If you want to calculate the area of a pentagon, you can use the formula for the area of a regular pentagon, which is given by:

Area = (5/4) x s² x tan(π/5)

where s is the length of one of the sides of the Pentagon.

Thus,

It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

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Answer:

18$ with a 1/3 discount applied

Step-by-step explanation:

27 divided by 3=9

27-9=18

Answer:

$18

Step-by-step explanation:

1/3 = ~33.33% off

33.33% of 27 = 9

27-9 = 18

Hope that helps

This is not the line of best fit because the line is not through the middle of the data points.

What is line of best fit?

The line of best fit is a line through a scatter plot of data points that best expresses the relationship between those points.

In this case, this is not the line of best fit because the line is not through the middle of the data points.

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The total electric charge inside the cube is -2.52×10^-9 C in the x-direction and 5.72×10^-9 C in the z-direction.

We can calculate the total electric charge inside the cube by using Gauss's law, which relates the electric flux through a closed surface to the total charge enclosed within that surface.

Since the electric field is not uniform, we need to choose a closed surface over which the electric flux is easy to calculate. We can choose a cube with sides of length L centered at the origin, since the electric field is given at all points in space.

Using the symmetry of the problem, we can choose the cube so that it is aligned with the x, y, and z-axes. Each face of the cube has an area of L^2, so the total surface area of the cube is 6L^2.

The electric flux through each face of the cube is given by the dot product of the electric field with the normal vector to that face. For the x-faces, the normal vector is i, and for the z-face, the normal vector is k. The electric field does not have a component in the y-direction, so the flux through the y-faces is zero.

The electric flux through each x-face is

Φx = E•A = (-5.65 N/C)(L^2)i

The electric flux through the z-face is:

Φz = E•A = (3.23 N/C)(L^2)k

Since the electric field is constant over each face, we can add the flux through each face to get the total electric flux through the cube:

Φtotal = 2Φx + 2Φy + 2Φz = (-5.65 N/C)(2L^2)i + (3.23 N/C)(2L^2)k

By Gauss's law, the total electric flux through a closed surface is equal to the total charge enclosed within that surface divided by the permittivity of free space (ε0):

Φtotal = Qenc/ε0

Solving for the total charge enclosed within the cube:

Qenc = Φtotal ε0 = [(-5.65 N/C)(2L^2)i + (3.23 N/C)(2L^2)k] ε0

Using the value of the permittivity of free space ε0 = 8.85×10^-12 C^2/(N m^2), we get:

Qenc = [-2.52×10^-9 C i + 5.72×10^-9 C k]

The total electric charge inside the cube is -2.52×10^-9 C in the x-direction and 5.72×10^-9 C in the z-direction.

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The given question is incomplete, the complete question is:

A cube has sides of length L = 0.370 m . It is placed with one corner at the origin as shown in the figure . The electric field is not uniform but is given by E =( -5.65 N/(C) )xi^+( 3.23 N/(C) )zk Find the total electric charge inside the cube.

Answer:

B. 9.3 x 10^7

Step-by-step explanation:

9.<3<0<0<0<0<0<0.

Move the decimal point until there is only one whole number left.

The most appropriate choice for HCF will be given by-

Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = 7

What is HCF?

HCF means highest common factor. HCF of two number a and b is the highest number that divides both a and b.

Number of white tulips = 21

Number of red tulips = 91

Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = HCF (21, 91)

Now,

\(21 = 3\times 7\\91 = 7\times 13\\\)                

HCF (21, 91) = 7

Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = 7

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Answer:

$39.36

Step-by-step explanation:

Since its 20% off that means we still have a remaining 80% so first multiply 0.8 to the 82

82x0.8= 65.6

Since there is a additional 40% off multiply by 0.4 to get the discount amount

65.6x0.4= 26.24

Subtract the discount from the price

65.6-26.24= 39.36

Answer:

the solution is (0,2) to the problem

The sum of the interior angles of a nonagon (a 9-sided polygon) is 1,450°.

1. The interior angles of a polygon can be calculated by subtracting 2 from the number of sides, then multiplying the result by 180°.

2. For a nonagon (a 9-sided polygon), the calculation is

(9-2) × 180° = 1,450°.

The sum of the interior angles of any polygon can be calculated using the formula

(n-2) × 180°,

where n is the number of sides of the polygon. This formula works because the sum of the interior angles of any polygon is always equal to (n-2) times the measure of a single interior angle. For a nonagon, a 9-sided polygon, the calculation is

(9-2) × 180° = 1,450°.

This means that the sum of the interior angles of a nonagon is 1,450°.

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