[tex]\frac{10}{\sqrt{5} }[/tex]

Answer:

Skeleton hand holding a piece of candy maybe?

Or a jack-o-lantern but its a poison apple.

OR a drawing of a witch's face in the reflection of a cauldron.

Step-by-step explanation:

Spooky Graveyard: Draw a creepy graveyard scene with tombstones, skeletons, and ghosts.

Jack-O-Lanterns: Draw a bunch of different jack-o-lanterns with different expressions and designs.

Haunted House: Draw a haunted house with creaky doors, broken windows, and bats flying around.

Witch's Cauldron: Draw a witch's cauldron bubbling with potions and ingredients.

Trick or Treaters: Draw a group of trick or treaters dressed up in costumes going from house to house.

Scary Trees: Draw a spooky forest with twisted, gnarled trees that look like they could come to life at any moment.

Monster Mash: Draw a bunch of different classic Halloween monsters, like Frankenstein's monster, vampires, and werewolves.

Zombie Apocalypse: Draw a post-apocalyptic scene with zombies wandering around and survivors trying to stay alive.

Black Cats: Draw some cute or creepy black cats with glowing eyes.

Halloween Candy: Draw a big pile of Halloween candy with all your favorite treats.

A pumpkin: Draw a simple pumpkin shape and add eyes, nose, and mouth. You can also add a stem on top and some vines on the sides.

Ghosts: Draw some simple white shapes for ghosts and add eyes and a mouth. You can also draw a white sheet around the ghost to make it look more spooky.

Skeletons: Draw a basic skeleton shape and add some bones. You can also add some spooky decorations, like spider webs or bats.

Witch hats: Draw a simple witch hat shape and add some details, like a buckle or a spider. You can also add some stars or a crescent moon in the background.

Bats: Draw a bat shape and add some details, like wings and ears. You can also draw a moon or some stars in the background to make it look more Halloween-like.

Answer: Bones break because so much force is applied onto them at a singular moment, more than can be handled. Most commonly from falls where you hit your bone in a specific spot.

Bones can break, also known as a fracture, due to a variety of reasons. Here are some common causes:

Trauma: A sudden force or impact, such as a fall, can cause a bone to break.

Overuse: Repeated stress on a bone over time can cause a stress fracture, which is a small crack in the bone.

Medical Conditions: Certain medical conditions, such as osteoporosis, cancer, or infections, can weaken bones and make them more susceptible to fractures.

Vitamin and Mineral Deficiencies: Insufficient levels of calcium, vitamin D, and other minerals necessary for strong bones can increase the risk of fractures.

The severity of a fracture can vary depending on the force of impact and the strength of the bone. Some fractures may only cause minor pain and swelling, while others may require surgery and a prolonged healing process.

It is important to seek medical attention if you suspect a fracture as prompt diagnosis and treatment can help prevent complications and promote healing. Treatment options for a fracture may include immobilization, casting, surgery, or physical therapy, depending on the severity and location of the break.

The given angle measures 120 degrees, which is indeed an interior angle of a regular hexagon

What is hexagon ?

A hexagon is a six-sided polygon, which is a two-dimensional geometric shape with straight sides. The word hexagon comes from the Greek words "hexa" meaning "six" and "gonia" meaning "angle."

To find the value of x in the regular hexagon, we can start by noting that the interior angles of a regular hexagon are all congruent and measure 120 degrees.

Next, we can see that the given angle (11x + 21)° is an interior angle of the hexagon. Therefore, we can set this angle equal to 120 degrees and solve for x:

11x + 21 = 120

11x = 99

x = 9

Therefore, the value of x is 9.

Note that we can check our answer by substituting x = 9 into the original equation:

11x + 21 = 11(9) + 21 = 120

Therefore, the given angle measures 120 degrees, which is indeed an interior angle of a regular hexagon

To learn more about Hexagon from given link.

https://brainly.com/question/29762907

#SPJ1

Option B, On a coordinate plane, the locations of the points (9, -5) and (9, 5) related reflection across the x-axis.

The two locations (9, -5) and (9, 5) have the same x-coordinate, but their y-coordinates are different. We need to see how the coordinates of two points change as they undergo various transformations to understand their relationship.

Learn more about the coordinate plane at

https://brainly.com/question/24134413

#SPJ4

Answer:

Step-by-step explanation: first if you do x/32.5 ≤ 117 = 3802.5 and also we know that 1 mile= 32.5, so if you take 32.5 * 117 it also equals 3802.5

so it will take him a minimum of 3802.5 gallons to drive 117 miles

Dakota would need at least 3.6 gallons of gasoline to drive 117 miles to his brother's house.

A statement that compares two numbers or expressions using an inequality symbol, such as (less than), > (greater than), (less than or equal to), or, is known as an inequality in mathematics (greater than or equal to).

Let x be the volume of gasoline required for Dakota to travel 117 miles to his brother's home. The minimum value of x can be calculated using the inequality shown below:

x ≥ 117 / 32.5

Here, we calculate the bare minimum amount of gasoline Dakota would require to travel 117 miles by dividing the whole distance (117 miles) by the miles per gallon (32.5 miles/gallon).

The inequality is reduced to: x ≥ 3.6

Dakota would therefore require 3.6 gallons of fuel to travel 117 miles to his brother's house.

To learn more about inequality, Visit

https://brainly.com/question/24372553

#SPJ1

The measures of the two interior angles are:

x = 62°

y = 118°

We can see a cuadrilateral, if the sides are parallel like in this case, opposite interior angles have the same measure, then:

x = 62°

And we know that adjacent angles should add up to 180°, then:

y+ 62° = 180°

y = 180° - 62° = 118°

These are the measures of the two interior angles.

Learn more about interior angles at

https://brainly.com/question/24966296

#SPJ1

The given expression evaluates to 366.

The sum of the series is computed using the summation formulas. There are many different kinds of sequences, including arithmetic and geometric sequences, and consequently, there are many different kinds of summing formulas for those different kinds of sequences.

As per the given data:

To find [tex]\sum_{n=2} ^6 n (n^2 -n+1)[/tex]

Simplifying the given expression:

[tex]\sum_{n=2} ^6 n^3 - n^2 + n[/tex]

using the formulas:

[tex]\sum n = \frac{n(n+1)}{2}\\\\\sum n^2 = \frac{n(n+1)(2n+1)}{6}\\\\\sum n^3 = \frac{n^2(n+1)^2}{4}[/tex]

=  [tex][\frac{n^2(n+1)^2}{4} - [\frac{n(n+1)(2n+1)}{6}] + \frac{n(n+1)}{2}]_{n=2} ^ 6[/tex]

substitute the values of limit:

= 371 - 5

= 366

Hence, the given expression evaluates to 366.

To learn more on Summation, click:

brainly.com/question/29156854

#SPJ1

The tangent of <S is 8/15

Trigonometry is a discipline of mathematics dealing with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

Given:

ST = 68

UT = 60

so, SU = √ST² - UT²

           = √68² - 60²

           = √4624  - 3600

           = √1024

           = 32

So, Tangent of <S = P/ B

tan S = SU / UT

tan S = 32 / 60

tan S = 8/15

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ1

The answers are (a) (fog)(4) = 6√2, (b) (gof)(2) = 6√2, (c) (f of)(1) = 3√3, and (d) (gog)(0) = 0.

The given expressions are f(x) = 3√x and g(x) = 2x. We need to find the following expressions: (a) (fog)(4) (b) (gof)(2) (c) (f of)(1) (d) (gog)(0)

(a) (fog)(4) = f(g(4)) = f(2(4)) = f(8) = 3√8 = 3√(4*2) = 3√4 * √2 = 3*2*√2 = 6√2

(b) (gof)(2) = g(f(2)) = g(3√2) = 2(3√2) = 6√2

(c) (f of)(1) = f(f(1)) = f(3√1) = f(3) = 3√3

(d) (gog)(0) = g(g(0)) = g(2(0)) = g(0) = 2(0) = 0

Therefore, the answers are (a) (fog)(4) = 6√2, (b) (gof)(2) = 6√2, (c) (f of)(1) = 3√3, and (d) (gog)(0) = 0.

Learn more about Radicals

brainly.com/question/1369233

#SPJ11

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

Point Form:

(−8,−17)

Equation Form: x=−8,y=−17

Answer:

x=-4, y=5

Step-by-step explanation:

Because y=-3x-7 and y=x+9, so y=y, and -3x-7=x+9

-3x-7=x+9,

so 4x=-16

      x=-4

so we put x=-4 to y=-3x-7

      y=(-3)* (-4)-7

      y=12-7

       y=5

The polynomial with the given information can be represented as: P(x) = a(x-3)3(x-2)2(x-4). Where a is the leading coefficient. Since the leading coefficient is negative, we can assume that a = -1. Therefore, the polynomial can be written as: P(x) = -(x-3)3(x-2)2(x-4)

This polynomial satisfies all the given conditions:

- The leading coefficient is -1, which is negative.

- The zero of 3 has a multiplicity of 3, as indicated by the exponent of (x-3)3.

- The zero of 2 has a multiplicity of 2, as indicated by the exponent of (x-2)2.

- The zero of 4 has a multiplicity of 1, as indicated by the exponent of (x-4).

Therefore, the polynomial P(x) = -(x-3)3(x-2)2(x-4) is the correct answer.

Know more about polynomial here:

https://brainly.com/question/11566541

#SPJ11

The equation that can be used to determine the area of the glass is A = 2 1/2 x 4.

A rectangle is a 2-dimensional quadrilateral with four right angles. A rectangle has two diagonals of equal length which bisect each other. The sum of interior angles is 360 degree and opposite sides are parallel

The area of the rectangle is the product of the length and the width.

Area of a rectangle = length x width

A = 4 x 2 1/2

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

#SPJ1

We can write the mean absolute deviation as -

1.63.

Absolute deviation or mean absolute deviation is the measure of how far a given data element is from a given mean value of the data.

Given is that Suzie's Desserts offers its customers 5 dessert options. The prices are: $5.00 $9.00 $9.00 $6.00 $6.00 $9.00 $9.00.

The formula for absolute deviation is -

[tex]$\frac {1}{n} \sum \limits_{i=1}^n |x_i-m(X)|[/tex]

We can calculate the mean as -

(5 + 9 + 9 + 6 + 6 + 9 + 9)/7 = 7.57

We can write the  absolute deviation as -

Absolute deviation =

1/7(5 - 7.57 + 9 - 7.57 + 9 - 7.57 + 6 - 7.57 + 6 - 7.57 + 9 - 7.57 + 9 - 7.57) = 1.63

Therefore, we can write the mean absolute deviation as -

1.63.

To solve more questions on absolute deviation, visit the link-

https://brainly.com/question/23556021

#SPJ9

The fraction of the euro is 8/100

one Euro will cost in 8 rands

When we talk about exchange rates, we're essentially talking about the value of one currency compared to another. In this case, we're comparing the South African rand to the euro.

We know that one South African rand is valued at 0.125 of one euro. To figure out what fraction of the euro one South African rand is worth, we can simply divide the value of one rand by the value of one euro:

1 rand ÷ 0.125 euro = 8/100 euro

So, one South African rand is worth 8/100 or 0.08 (which is equivalent to 8%) of one euro.

To calculate what one euro would cost in rands, we can use the inverse of the exchange rate we were given:

1 euro ÷ 0.125 rand/euro = 8 rand

So, one euro would cost 8 South African rand.

To know more about fraction here

https://brainly.com/question/10354322

#SPJ4

Answer:

1st page:

To determine if Jason and Arianna made a mistake in their solution, we can examine the slopes and y-intercepts of the two equations.

The first equation, 5x - 3y = -1, can be written in slope-intercept form as y = (5/3)x + 1/3, where the slope is 5/3 and the y-intercept is 1/3.

The second equation, 3x + 2y = 7, can be written in slope-intercept form as y = (-3/2)x + 7/2, where the slope is -3/2 and the y-intercept is 7/2.

To solve the system of equations, we need to find the point of intersection of the two lines. We can see from the slopes that the lines are not parallel, so they must intersect at some point. However, the slopes are not perpendicular either, so they do not intersect at a right angle.

By graphing the two equations on the same coordinate plane, we can see that the point of intersection is (2, 2), not (4.04, 7.31) as Jason and Arianna calculated. Therefore, they must have made a mistake in their solution.

In summary, we can tell that Jason and Arianna made a mistake in their solution by examining the slopes and y-intercepts of the two equations and graphing them to find the actual point of intersection.

2nd page:

To determine if Jason and Arianna made a mistake in their solution, we can graph the two linear equations on the same coordinate plane and look for the point of intersection.

We can begin by rearranging the equations into slope-intercept form:

5x - 3y = -1 → y = (5/3)x + 1/3

3x + 2y = 7 → y = (-3/2)x + 7/2

Now we can graph the two lines. We can plot two points for each line and connect them with a straight line to obtain the graphs.

For the first equation, when x = 0, we get y = 1/3. When x = 3, we get y = 6/3 = 2. Plotting these two points and connecting them, we get:

Graph of the first equation

For the second equation, when x = 0, we get y = 7/2. When x = 2, we get y = 1/2. Plotting these two points and connecting them, we get:

Graph of the second equation

We can see from the graphs that the lines intersect at the point (2, 2), not at (4.04, 7.31) as Jason and Arianna found. Therefore, they must have made a mistake in their solution.

In summary, we can tell from the graphs of the equations that Jason and Arianna must have made a mistake because the lines do not intersect at the point they found.

3rd page:

We can determine if there is a unique solution to the system of linear equations by examining the slopes of the two equations.

The slope of the first equation, 5x - 3y = -1, can be found by rearranging the equation into slope-intercept form y = (5/3)x + 1/3. We can see that the slope of the line is positive and not equal to the slope of the second equation, which is -3/2.

Similarly, the slope of the second equation, 3x + 2y = 7, can be found by rearranging the equation into slope-intercept form y = (-3/2)x + 7/2. Again, we can see that the slope of the line is negative and not equal to the slope of the first equation, which is 5/3.

Since the slopes of the two lines are not equal, they will intersect at a unique point. In other words, there is only one solution to the system of equations.

Therefore, we can conclude that there is a unique solution to the system of linear equations given by 5x - 3y = -1 and 3x + 2y = 7, based on the slopes of the graphs of the equations in the system.

Step-by-step explanation:

Answer:

sin(B)/b = sin(A)/a

sin(B)/12 = sin(58)/a

a = 12(sin(58)/sin(B))

Now we can use the Law of Cosines to find the remaining sides of the triangle:

a^2 = b^2 + c^2 - 2bc*cos(A)

a^2 = 12^2 + c^2 - 2(12)(c)*cos(58)

c^2 - 24c*cos(58) + 144 - a^2 = 0

Using the quadratic formula, we get:

c = (24*cos(58) ± sqrt((24*cos(58))^2 - 4(1)(144 - a^2)))/2(1)

c = 12*cos(58) ± sqrt(144*cos(58)^2 - 4(144 - a^2))

c = 12*cos(58) ± sqrt(576*cos(58)^2 - 4a^2)

c = 12*cos(58) ± sqrt(576*(1 - sin(58)^2) - 4a^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 4a^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 4(12(sin(58)/sin(B)))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/sin(B))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/sin(B))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/sin(B))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/sin(B))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/sin(B))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/sin(B))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/sin(B))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/sin(B))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(180 - A - B)))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(180 - 58 - B)))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(122 - B)))^2)

Now we can substitute the value we found for a into the equation for c to get:

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(122 - B)))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(122 - arcsin(a/b))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(122 - arcsin(12/a))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(122 - arcsin(12/(12(sin(58)/sin(B)))))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(122 - arcsin(sin(58)/sin(B))))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(122 - arcsin(sin(58)/(12*sin(58)/a))))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(122 - arcsin(a/12))))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(122 - arcsin(1/12)*a))))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(122 - 4.98)*a))))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(sin(117.02)*a))))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(sin(58)/(0.97*a))))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(1.03*a/sin(58))))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(1.03*(12*sin(58)/sin(B))/sin(58))))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(1.03*(12/sin(B)))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(1.03*(12/sin(180 - A - B)))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(1.03*(12/sin(180 - 58 - B)))))^2)

c = 12*cos(58) ± sqrt(576 - 576*sin(58)^2 - 576(1.03*(12/sin(122 - B)))))^2)

Now we can solve for c using the two possible values of B:

B = arcsin(b*sin(A)/a)

B = arcsin(12*sin(58)/a)

B = arcsin(12*sin(58)/(12*sin(58)/sin(B)))

B = arcsin(sin(B))

B = 58

or

B = 180 - arcsin(b*sin(A)/a)

B = 180 - arcsin(12*sin

The solution of the system of linear equations on the graph is one solution at (1, −2).

Analyzing the intersection of the graphs of a system of linear equations on the coordinate plane will reveal how many solutions there are. The system has a single solution if the graphs meet at a single location. The system cannot be solved if the graphs are parallel and do not intersect. The system has an unlimited number of solutions if the graphs coincide, or overlap.

From the graph we observe that the two lines intersect at the point (1, -2).

The point where the lines intersect is thus the solution of the system of linear equations on the graph.

Hence, the solution of the system of linear equations on the graph is one solution at (1, −2).

Learn more about solution of equation here:

https://brainly.com/question/545403

#SPJ1

All of Ben's expressions are erroneous since none of them equal the number 108 degrees. The correct equation is (n-2) x 180 / n.

A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides or edges are created by connecting end to end segments of a straight line to create a closed shape. Vertex or corners refers to the intersection of two line segments, which produces an angle.

In a regular polygon, where n is the number of sides, the formula for measuring an interior angle is (n-2) x 180 / n.

An internal angle in a pentagon has a measure of (5-2) x 180 / 5 = 108 degrees.

Substituting the angle in Ben's expression:

xᵒ + (x + 40)° + (2x - 30)° + 3(x - 40)° + 3x°

9x - 27° = 108

We observe that none of the value of x results in 108 degrees.

Hence, all of Ben's expressions are erroneous since none of them equal the number 108 degrees.

Learn more about polygon here:

https://brainly.com/question/17756657

#SPJ1

Where is your question so we may help

Answer:

Step-by-step explanation:

mark me brainliest so i can solve

The requried equation represents the volume of the gas in terms of temperature is V = 22 + 225T.

The equation model is defined as the representative of the given case in the form of an equation using variables and constants.

Here,
Let's denote the volume of the gas as V and temperature as T.

From the given information, we know that at 0°C temperature (i.e. T = 0), the volume of the gas is 22 liters.

For every 1°C increase in temperature, the volume of the gas increases by 225 liters.

Therefore, we can write the equation as:

V = 22 + 225T

This equation represents the volume of the gas in terms of temperature.

Learn more about models here: https://brainly.com/question/22591166
#SPJ1

The figure's perimeter, rοunded tο the nearest hundredth, is rοughly 51.39 feet.

The tοtal length οf a twο-dimensiοnal shape's bοundary οr οuter edge is knοwn as its perimeter. It is the space encircling the periphery οf a shape. Yοu add up the lengths οf all a shape's sides tο determine its perimeter. The length units used tο measure the sides have an impact οn the perimeter measurement units.

given:

The lengths οf all the edges must be added up in οrder tο determine the figure's perimeter.

The figure is made up οf a rectangle with a length οf 3 feet and a breadth οf 9 feet, twο semicircles with a diameter οf 9 feet each, and twο semicircles.

A semicircle with a diameter οf 9 feet has the fοllοwing circumference:

C = 1/2 * pi * d

C = 1/2 * 3.14 * 9

C = 14.13 feet

The circumference οf bοth semicircles taken tοgether is thus:

P = 2*14.13P = 28.26 feet

The rectangle's perimeter is as fοllοws:

P(rectangle) is equal tο 2 * (length + width).

P(rectangle) = 3 + 9 * 2

24 feet P(rectangle)

As a result, the figure's οverall perimeter is as fοllοws:

Semicircles: P = P + P (rectangle)

P = 28.26 + 24

P = 52.26 feet

The figure's perimeter, rοunded tο the nearest hundredth, is rοughly 51.39 feet.

Anοther figure with the same perimeter as the οne given can be drawn in a variety οf ways.

The figure's perimeter, rοunded tο the nearest hundredth, is rοughly 51.39 feet.

To know more about perimeter visit:

brainly.com/question/6465134

#SPJ1

Answer:

[tex]\frac{y + x}{y\y - x}[/tex]

Step-by-step explanation:

Helping in Jesus' name.

Answer: Add.

Step-by-step explanation: When you multiply two numbers, all you have to do is simply add the exponents!

Example: 3^4 × 3^2 = 3^(4 + 2) = 3^6

Hope this helps!!

Step-by-step explanation:

a=55 because

75+50+a=180 (Sum of angle in a stratight line)

or, 125+a=180

or, a=180-125

a=55

b=75 because they are alternate angles

c=50 because they are alternate angles

d=50 Because d=c(vertically opposite angle) and c=50

Answer:

312 square inches

Step-by-step explanation:

To find the surface area of a cake baked in a rectangular pan with an 8-inch by 12-inch base and a volume of 288 cubic inches, we need to find the dimensions of the pan. We can do this by dividing the volume by the area of the base, which gives us the height of the pan. Once we know the height, we can use the dimensions of the base and the height to find the surface area of the cake.

The graph of g(x) is a parabola that opens up, goes through (0, 1), has a vertex at (2, -3), and goes through (4, 1).

What is parabola ?

A parabola is a U-shaped curve that is formed by graphing a quadratic function. In other words, a parabola is the set of all points in a plane that are equidistant from a fixed point (called the focus) and a fixed line (called the directrix).

The graph of g(x) can be obtained by translating the graph of f(x) = x^2 to the left by 2 units and down by 3 units.

The vertex of g(x) is obtained by subtracting 2 from the x-coordinate and subtracting 3 from the y-coordinate of the vertex of f(x). Thus, the vertex of g(x) is (2, -3).

The point (-2, 4) on f(x) is translated left by 2 units to (−4, 4) on g(x) and then down by 3 units to (−4, 1). The point (2, 4) on f(x) is translated left by 2 units to (0, 4) on g(x) and then down by 3 units to (0, 1).

Therefore, the graph of g(x) is a parabola that opens up, goes through (0, 1), has a vertex at (2, -3), and goes through (4, 1).

To know more about parabola visit :

https://brainly.com/question/29635857

#SPJ1

Answer:

A

Step-by-step explanation:

Answer:

the paper is too blurry i would help if i could.

Step-by-step explanation:

Answer:

A: x

Step-by-step explanation:

So with problems like this when it saids f(g(x) it wants you to plug those values in. In some cases you have a value where the x is but you don't so you can't solve g(x) so you move on to the next step. You plug in g(x)= x-1/2 everywhere there is a x in f(x). So our equation would be 2(x-1/2) + 1. Then you solve by canceling the 2 by dividing it out so we would have x-1 +1. Then you combine like terms which -1 +1 is 0 so our final answer would be x.

1. The Formula used SA = 2w (l +h) + lh

2. The box is 0.37125 inch deep.

3. The SA of box with lid is 294.7972 inch².

The area is the territory covered by a shape or figure, whereas the perimeter is the distance covered by the shape's outside boundary. The unit of area is the square unit or unit², while the unit of perimeter is the unit.

Given:

length = 13.2 inch

Height = 10.5 inch

And, Surface Area used = 295.02 inch²

Using the Formula

SA = 2lw + 2wh + lh

SA = 2w (l +h) + lh

295. 02 = 2w ( 13.2 + 10.5) + (13.2)(10.5)

147.51 = w x 24 + 138.6

8.91 = 24w

w = 0.37125 inch

SA of box with lid

= 2( lw+ wh + lh)

= 2( 13.2 x 10.5 + 10.5 x 0.37125 + 0.37125 x 13.2)

= 2(138.6 + 3.8981 + 4.9005)

= 2 x 147.3986

= 294.7972 inch²

Learn more about Surface Area here:

https://brainly.com/question/29298005

#SPJ1