can someone help me with this

The area of the polygon is approximately 24.497 square units.

In accordance with the statement, we have a polygon with three vertices set on Cartesian plane, that is, a triangle. We need to find the side lengths first and later to calculate the area by Heron's formula. First, determine the lengths of each line segment by Pythagorean theorem:

JK = √[[4 - (- 3)]² + (4 - 4)²]

JK = 7

KL = √[(3 - 4)² + (- 3 - 4)²]

KL = √[(- 1)² + (- 7)²]

KL = 5√2

JL = √[[3 - (- 3)]² + (- 3 - 4)²]

JL = √85

Second, calculate the area of the triangle:

s = (JK + KL + JL) / 2

s = (7 + 5√2 + √85) / 2

s ≈ 11.645

A = √[s · (s - JK) · (s - KL) · (s - JL)]

A = √[11.645 · (11.645 - 7) · (11.645 - 5√2) · (11.645 - √85)]

A ≈ 24.497

The area of the polygon is approximately 24.497 square units.

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The inequality that represents this situation is d - 14 >= 48 and the solution is d >= 62

The given parameters are:

Initial amount = d

Spent = 14

Amount left  = at least 48

The above means that

d - 14 = at least 48

at least 48 means greater than or equal to 48

So, we have

d - 14 >= 48

Add 14 to both sides

d >= 62

Hence, the inequality that represents this situation is d - 14 >= 48 and the solution is d >= 62

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Answer- D = (equal sign)

Explanation-

When you see two straight lines in math | | with number inside, regardless if the number inside is positive or negative, the outcome will be positive. This is called the absolute value. After we solve our absolute value however, there is a negative on the outside, which means that 61 will become negative again. Our equation is now -61 _____ -61. Your correct choice will be the equal sign, since -61 is equal to -61.

HOPE THIS HELPS GOOD LUCK!

Answer:

Step-by-step explanation:

=2x+1x

=(2+1)x

=3x

This is an arithmetic sequence

The nth term of an arithmetic sequence is Tn = a + (n-1)d

a is the first term.

n is the number of terms

d is the common difference

Given that 19th term of the sequence is:

         gn=gn−1⋅(−12) if g17=162

Suppose a=12

Then,

The 17th term g17=a+(n-1)d

                           = 12+(17-1)d

'n' means number of terms

                        12+(17-1)d=162    because g17=162

                        12+16d=162

                         16d=162-12

Subtract the values,

We can write,

                         16d=150

                           d=150/16

Divide the values,

We can write,

                           d=25

To get the sixth term g6

      g6=12+(6-1)d

           =12+5d

     Replace with d value in above equation,

Then,       g6=12+5(25)

              g6=12+125

               g6=137

So, the sixth term is g6=137.

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Answer:

- 3 and 1/5

Step-by-step explanation:

Answer: - 16 / 5

Step-by-step explanation:

Answer:

  less than 18 hours

Step-by-step explanation:

You want the restriction on the fourth value such that the average of it and 17, 19, and 16 will be less than 17.5.

The average of a set of numbers is their sum, divided by the number of numbers. The average of the four students' hours will be ...

  (17 +19 +16 +h)/4 < 17.5 . . . . . . restriction on average hours

Multiplying by 4 gives ...

  52 +h < 70

  h < 18 . . . . . . . . subtract 52

The fourth student can work less than 18 hours.

Statement                                                                     Reason

1. m<AOB = 180 degrees                                   Angle on a straight line

2. m<AOE + m<EOF + m<FOB = m<AOB         supplementary angles

3. x + 2x + 34° + 20° = 180 degrees                 Substitution

4. x =  42 degrees                                             Algebra

x + 2x + 34° + 20° = 180 degrees   -  supplementary angles

3x + 54 = 180

3x = 180 - 54

3x = 126

x = 126 / 3

x = 42 degrees

This refers to angle formed by a straight line which is equal to 180 degrees.

This refers to angles whose sum is equal to 180 degrees. Sum of angles on a point on a straight line is equal to 180 degrees

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Answer:

1.45 dollars per quart.

0.69 quarts per dollar.

Explanation:

To find dollars per quart,

5.79 ÷ 4 = 1.4475

Round to the nearest hundredth; 1.4475 -> 1.45

-

To find quarts per dollar,

4 ÷ 5.79 = 0.6908462867

Round to the nearest hundredth; 0.6908462867 -> 0.69

Dividing was all you needed!

Answer:

Option 1

Step-by-step explanation:

(3)(-17.25) = -51.75, he withdrew $51.75.

3 because he withdrew a total of 3 times.

-17.25 because he was taking out money.

Answer:(3)(-17.25)= -51.75

Step-by-step explanation:

The amount of water a bag of salt can treat is 47, 250 cubic feet

The formula for volume of a rectangle is expressed as;

Volume = length × width × height

From the information given, we have the following parameters;

Substitute the values into the formula

Volume = 25 × 14 × 5

Find the product

Volume = 1750 cubic yards

Covertoing cubic yard to cubic feet

I cubic yard = 27 cubic foot

1750 yards = x

x = 27 × 1750

x = 47, 250 cubic feet

Thus, the amount of water a bag of salt can treat is 47, 250 cubic feet

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Based on the temperature readings, the average recorded temperature in the 20 days was 10.15°

The average temperature can be found by adding all the temperatures and then dividing by the number of temperatures taken which is 20.

The average is therefore:

= 24° + (−10°) +  9° +  18° +  23° +  27° +  8° +  17° +  3° +  7° + ( −2°) +  (−6°) +  2° + (−9°) +  (−8°) +  21° +  25° +  15° +  10° +  29°) / 20

= 203 / 20

= 10.15°

In conclusion, the average temperature was  10.15°.

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Answer:

v = 13

Step-by-step explanation:

because they are supplementary angles they add up to 180

so

add them

and put them equal to 180

9v + 3 + 60 = 180

combine like terms

9v + 63 = 180

now subtract 63 to both sides

9v = 117

divide 9 to both sides

v = 13

that is your answer

Answer:B

Step-by-step explanation:because she might buy more cookies but we dont know she we dont multiply it by anything but the cookies we multiply that by 3 so thats why it doesn't have p because we know how much she's getting the reason its not a is because it says greater or equal to we dont want to go over 30 we want to be equal or less than 30

hope this helps :}

The equivalent income in City A given the average annual cost of living in City A and city B is $163,658.

The first step is to determine the ratio of the average cost of living in State A and State B. Ratio is used to show the relationship that exists between two or more values.

Cost of Living in City B / Cost of Living in City A

$62,000 / $44,400 = 1.39640

Multiply the ratio gotten in the previous step by the offered salary in State B : 1.39640 x $117,200 = $163,658

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The correct statement about the given function is: The function is increasing for all real values of x where x < –4.

In this question, we have been given the graph of the function

f(x) = -(x + 6)(x + 2)

According to description of the graph of given function f(x), the graph of function is a parabola and on a coordinate plane, a parabola opens down.

Also, the parabola goes through (-6, 0), has a vertex at (-4, 4), and goes through (-2, 0).

We need to find to the correct statement about the function.

f(x) = -(x + 6)(x + 2)

The function is increasing until it reaches the vertex x = -4.  

The function will decrease after the vertex, so after x = -4 function decreases.

increasing: -∞ < x < -4

decreasing : -4 < x < ∞

Therefore, the correct statement about the given function is: The function is increasing for all real values of x where x < –4.

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The graphing is achieved as follows:

On the graph the third sign counting from the left is used.

This is placed on the first mark of the three marks between 3 and 4. This point equivalent to 3 1/4 or 3.25

Given data

the graph

and the equation  1/2 x - 3 < -1 3/8

solving for x gives

1/2 x - 3 < -1 3/8

1/2 x < 3 -11/8

x/2 < 13/8

x < 13 / 4

x < 3 1/4

On the graph the third sign counting from the left is used.

The arrow is facing left, this is to show the sign less than.

The tail has a hollow not a solid point to show that equality sign is not included.

This is placed on the first mark after point 3 as this is the point equivalent to 3 1/4 or 3.25

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Answer:

2 option

Step-by-step explanation:

im right

Answer:

No.2

Step-by-step explanation:

Answer: 207936 millimeters squared

Step-by-step explanation:

57 * 57 = 3249

3249 * 64 = 207936

Answer: 207936 millimeters^2

Step-by-step explanation: 57*57=3249

3249 64 times is 207936.

Answer: 5

Step-by-step explanation:

Answer:change

Step-by-step explanation:

1 change them

2 switch sides

3 move the colors

Answer: 1st is positive 2nd is negative 3rd and 4th are undefined or 0

Step-by-step explanation:

Answer:

1.positive

2.undefine

3.positive

4.negative

The solution set of the inequality for R is given by [tex]-\frac{1172}{85} \leq x\leq \frac{1228}{55}[/tex] .

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.  It is frequently used to compare two numbers on the number line based on their sizes. Different types of inequalities are represented by a variety of notations such as < ,> ,≤ and ≥.

The modulus function takes the absolute value of a function.

To solve the given inequality we have simplify the inequality first.

[tex]x-\frac{7}{9} |(\frac{12}{5} -6x)|+50\ge -30[/tex]

[tex]or, x-\frac{7}{9}\times \frac{6}{5} |(2-5x)|+50\ge -30\\or,x-\frac{14}{15}|2-5x|\ge-80\\[/tex]

Now we separate the inequalities:

[tex]x-\frac{14}{15}(2-5x)\ge-80[/tex]  for 2x-5 ≥ 0

[tex]x-\frac{14}{15}(-(2-5x))\ge-80[/tex]  for 2x-5 ≤ 0

Now we will solve the two inequalities separate and find the intersection.

[tex]x-\frac{14}{15}(2-5x)\ge-80\\or,15x-28+70x\ge-1200\\or,x\ge -\frac{1172}{85}[/tex]

Again

2x-5 ≥ 0

or, [tex]x\le\frac{2}{5}[/tex]

hence [tex]-\frac{1172}{85}\le x\le\frac{2}{5}[/tex]

Similarly solving the other inequality we get

[tex]\frac{2}{5}\le x\le\frac{1228}{55}[/tex]

Now we find the intersection of the two inequalities:

[tex]-\frac{1172}{85}\le x\le\frac{1228}{55}[/tex]

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Answer:

Your answer should be 90 degrees for angle one. For angle two, 58 and angle three 32.

Step-by-step explanation:

This is because they are supplementary angles! I hope this helps. Xx

Answer: ∠1 = 90°

Step-by-step explanation:

∠1 = ∠4

∠2 = ∠5

∠3 = ∠6

reason = vertically opposite angle

∠1 = 90°

∠2 = 58°

∠3 = 32°

checking :

total angles = 360°

360° = ∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6

360° = 90° + 58° + 32° + 90° + 58° + 32°

360° = 360°

The vehicle will get speed of approximately 15 mph and -210 mph.

Science's most important concept is measurement. Many measurable quantities are measured in fundamental or base units. One such measurable quantity is speed, which is defined as the ratio of an object's distance travelled to the time required to travel that distance. Let us learn about speed in depth during this session.

The ratio of distance to time taken to cover a distance is used to calculate speed. Because it only has one direction and no magnitude, speed is a scalar quantity.

Given the equation for gas mileage = 0.02x² + 3.9x  - 43 where x means speed

We have been asked to find x if gas mileage = 20 that is

0.02x² + 3.9x  - 43 = 20

Lets simplify

⇒ 0.02x² + 3.9x  - 43 = 20

⇒ x² /50 + 39x/10  - 63 = 0

⇒ x²/ 50 + 195x/50 - 3150 = 0

⇒ 1/50 (x + 195x - 3150 ) = 0

⇒ 1/50 (x + 210x - 15 x - 3150 ) = 0

⇒ 1/50 (x (x+210) −15 (x+210)) = 0

⇒ 1/50 (x−15)(x+210) = 0

⇒  (x−15)(x+210)  = 0 × 50

⇒ (x − 15)(x + 210)  = 0

⇒ x = 15, x = -210

So, try using 15 mph and -210 mph, that might work.

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Greetings from Brasil...

The expression that allows calculating the midpoint is:

M = [(X₁ + X₂)/2 ; (Y₁ + Y₂)/2]

X₁ = - 6

X₂ = - 6

Y₁ = 5

Y₂ = 8

then

M = [(- 6 + (- 6))/2 ; (5 + 8)/2]

M = [(- 12)/2 ; 13/2]

Answer:

(−6,6 1/2)

Step-by-step explanation:

Calculate the midpoint, using the midpoint formula:

In decimal form, it would be (-6,6.5).

Answer: 48

I hope this helps!

the x-axis, the y-axis and

the line y = 2x + 4

Remember that the area of a triangle is: A = (base) (height)

Hint: Sketch the graph using x- and y-intercepts.

square units

Ar

Answer:

737 or seven hundred thirty-seven

Step-by-step explanation:

The car will take 15 minutes to drive to the next stop which is 16 miles away.

As per the question statement, we are supposed to find the time taken by the car to drive to the next stop which is 16 miles away if it is driving on the interstate with cruise control on at a constant speed of 64 miles per hour.

Before solving the question, we need to know the concept of relation between time, distance and speed, which states that

[tex]speed=\frac{distance}{time}[/tex]

In the question [tex]speed = 64 mph\\distance = 16 miles\\time taken = t[/tex]

Substituting values in the formula above,

[tex]64=\frac{16}{t} \\t=\frac{16}{64} \\t=0.25 hours =0.25 *60\\t=15 minutes[/tex]

Hence the time taken by car  to drive to the next stop which is 16 miles away is 15 minutes or [tex]\frac{1}{4}[/tex] hours.

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