The coordinates of the vertices of a polygon are (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0, −2) .

What is the perimeter of the polygon?



Enter your answer as a decimal, rounded to the nearest tenth of a unit, in the box.

units

Answer:

x = -0.683 (3dp)

x = -7.317 (3dp)

Step-by-step explanation:

Step 1: Apply the quadratic formula

(-b±([tex]\sqrt{b^{2}-4ac}[/tex])) / 2a

a = 1 (x²)

b = 8 (8x)

c = 5 (5)

(-8±([tex]\sqrt{8^{2}-4 x 1 x 5}[/tex])) / 2 x 1

Step 2: Simplify

(-8±([tex]\sqrt{44}[/tex])) / 2

Step 3: Solve

You need to replace the ± with first a + and then a -.

(-8+([tex]\sqrt{44}[/tex])) / 2 = -0.683 (3dp) = x

(-8-([tex]\sqrt{44}[/tex])) / 2 = -7.317 (3dp) = x

Hope this helps!

Answer:

what ever it said above

Step-by-step explanation:

The drawing should be 10 units in width and 5 units in height.

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

Learn more about Problem-solving here: brainly.com/question/13818690

#SPJ2

Answer:

Look at pic.

Step-by-step explanation:

Hope this helps!

Using the quadratic formula, the roots of the equation 2x^2 - 3x + 8 = 0 are found to be complex numbers. The roots are: x = 3/4 ± sqrt(-55) / 4.

The subject of this question is the solution to the quadratic equation using the quadratic formula. The quadratic formula is used to find the roots of a quadratic equation, which is an equation of the form ax^2 + bx + c = 0.

The quadratic formula is given by: x = [-b ± sqrt(b^2 - 4ac)] / (2a)

For your equation, 2x^2 - 3x + 8 = 0, the values are a = 2, b = -3 and c = 8.

We substitute these values into the quadratic formula:

x = [3 ± sqrt((-3)^2 - 4*2*8)] / (2*2)

After carrying out the operations, we obtain:

x = [3 ± sqrt(9 - 64)] / 4

The term inside the square root is negative, meaning that the roots of the equation are complex numbers:

x = [3 ± sqrt(-55)] / 4

The answer to the equation is: x = 3/4 ± sqrt(-55) / 4

https://brainly.com/question/32591097

#SPJ2

Answer:

x ≥ - [tex]\frac{11}{3}[/tex]

Step-by-step explanation:

Given

- 12x ≤ 44

Divide both sides by - 12, remembering to reverse the inequality sign as a consequence of dividing by a negative quantity, hence

x ≥ [tex]\frac{44}{-12}[/tex] ← note sign reversed

Dividing the numerator/denominator by 4, gives

x ≥ - [tex]\frac{11}{3}[/tex]

Answer:

Ostrich meat is a "red meat" similar in color and taste to beef. However, it is lower in fat grams per serving compared to chicken and turkey.

Step-by-step explanation:

Hope this helped??!! :3

Answer:

Each of them eat 140 scoops.

Step-by-step explanation:

Let x be the amount eaten by each of them,

Given,

The initial ice cream Masha has =  200 scoops

Final ice cream Masha has = ( 200 - x ) scoops

while the initial ice cream Liz has = 180 scoops,

Final ice cream Liz has = (180-x) scoops,

According to the question,

[tex]\frac{200-x}{180-x}=\frac{3}{2}[/tex]

[tex]400-2x=540-3x[/tex] ( by cross multiplication )

[tex]-2x=140-3x[/tex]       ( Subtracting 400 on both sides )

[tex]x=140[/tex]  ( adding 3x on both sides )

Hence, each of them eat 140 scoops.

Answer: 140 scoops.

Hope this helped!

Answer:

5:3

5 to 3

3/5

There are three ways to write numbers as ratios

As a ratio:

x:y

As a word sentence:

x to y

As a fraction:

x/y

Answer:

The ratio of carnations to daffodils in three different ways are 5/3, 5:3 and 5 to 3.

Step-by-step explanation:

Given information:

Number of roses = 4

Number of carnations = 5

Number of daffodils = 3

We need to write the ratio of carnations to daffodils in three different ways.

The three different ways to write as ratio are

1. Fraction

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

2. Ratio using colon

[tex]x:y[/tex]

3. Word form

x to y

The ratio of carnations to daffodils  is

[tex]\frac{\text{Number of carnations}}{\text{Number of daffodils}}=\frac{5}{3}[/tex]

It can be written as 5:3 and 5 to 3.

Therefore the ratio of carnations to daffodils in three different ways are 5/3, 5:3 and 5 to 3.

Answer:

The answer is y=5x+50

Hope this helps!!!

Make n be a number. You must add 8 and the number together then multiply the answer by 3. This means that the verbal expression is:

3 multiplied by the sum of a number and 8.

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

True

Step-by-step explanation:    

The segment ¯AB¯  is congruent to the segment ¯BC¯ .

The point is in between the circle.

Therefore, they are congruent.

True. The segment AB is congruent to the segment BC.

If the length of both the line segments are same, then we can say that both the line segments are congruent to each other.

Here, in the given diagram AC is a chord of the circle centering at O.

B is a point on the chord AC.

The radius of the circle which is perpendicular to AC & passes through B,forms right angle at point B.

Since, AC is a chord of the circle & a radius is perpendicular to AC, the the intersecting point of AC & the radius is midpoint of AC.

So, B is the midpoint of AC.

∴ Line segment AB = Line segment BC

Hence, Segment AB is congruent to segment BC.

Learn more about congruent line here :

https://brainly.com/question/22359139

#SPJ2

Answer:

169 feet

Step-by-step explanation:

(see attached)

Answer:

-8

Step-by-step explanation:

Start by multiplying both sides by 4.

[tex]\frac{1}{4} x+2=-\frac{5}{8} x-5\\x+8=-\frac{5}{2} x-20[/tex]

Next, multiply both sides by 2.

[tex]x+8=-\frac{5}{2} x-20\\2x+16=-5x-40[/tex]

Now, combine like terms.

[tex]2x+16=-5x-40\\7x+16=-40\\7x=-56\\x=-8[/tex]

Answer:

-8 on edg

Step-by-step explanation:

Answer:

A, B, and D

Step-by-step explanation:

A

= 2x+3 < 10

= 2(3)+3 < 10

= 9<10

true

B

= 2x - 3 < 4

= 2(3) -3 < 4

= 3 < 4

true

C

= 5 + 3x > 15

= 5 + 3(3) > 15

= 14 > 15

not true

D

= 12-3x > 2

= 12 - 3(3) > 2

= 3 > 2

true

Answer:

Option B

Step-by-step explanation:

When two intersecting lines cut each other they form four angles. these two pair of angles are called opposite angles or vertical angles. The vertical angles formed by two intersecting segments are equal.

Thus option B is correct: The vertical Angles Formed By Two Intersecting Segments Are Congruent !

Answer:

B.

Step-by-step explanation:

When you intersect two lines, the angles opposite by the intersection vertex has the same measure. Generally, Those angles are called vertical angles.

In the figure, we have that angle 1 and angle 3 are vertical angles, then both have the same measure. So, the correct option is B) Vertical Angles Formed By Two Intersecting Segments Are Congruent.

Answer:

10.000

Step-by-step explanation:

10^4 is equal to 10,000.

10^4 to the second power means that you have too add 4 zeros to the end of the number.

Since 10 already has a 0, you would add 3 more.

Therefore, the answer would be 10,000.

10^4 is the same as saying 10 x 10 x 10 x 10, which is equal to 10 000.

Answer: I think its $37.84625 according to the working shown :)

Step-by-step explanation:

cost of paper= $5.79, hence 2 is 2 x 5.79= 11.58

pens= $9.25

paperclips= $2.29

calendar= $12.50

Total= 11.58+9.25+2.29+12.50= 35.62

6.25% sales tax on total purchase= 6.25/100 x 35.62= $2.22625

Adding the sales tax: 35.62+2.22625‬= $37.84625‬‬

Answer:

$37.84625

Step-by-step explanation:

(5.79*2)+9.25+2.29+12.50=35.62

tax: 6.25% of total cost:

6.25/100 * 35.62=2.22625

total cost + tax

35.62+2.22625=37.84625

Answer:

Graph #1

Step-by-step explanation:

Compare your

y - 1 = (2/3)(x - 3) to

y - k = m(x - h).  We see that k = 1 and h = 3.

Thus, (1, 3) is a point on the graph.  This matches Graph #1.  

Note: Graph #1 and Graph #3 appear to be the same.  Why?

The graph of the equation is:

                          Graph 1

The equation is given by:

    [tex]y-1=\dfrac{2}{3}\times (x-3)[/tex]

Now, we will see the point through which the graph passes through.

when x=3 we have:

[tex]y-1=\dfrac{2}{3}\times (3-3)\\\\i.e.\\\\y-1=\dfrac{2}{3}\times 0\\\\i.e.\\\\y-1=0\\\\i.e.\\\\y=1[/tex]

i.e. the graph passes through (3,1)

and also when x= -3 we have:

[tex]y-1=\dfrac{2}{3}\times (-3-3)\\\\i.e.\\\\y-1=\dfrac{2}{3}\times -6\\\\i.e.\\\\y-1=2\times -2\\\\i.e.\\\\y-1=-4\\\\i.e.\\\\y=-4+1\\\\i.e.\\\\y=-3[/tex]

i.e. the graph passes through (-3,-3)

The graph which satisfies these two points is: Graph 1

[tex]\bf \qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ F=\cfrac{k(m_1\cdot m_2)}{r^2}\leftarrow \textit{F varies directly with a product and inversely with }r^2[/tex]

Answer:

The prime factors of 621 are 3*3*3*23 ....

Step-by-step explanation:

Prime factorization is the process of finding that which prime numbers can be multiplied together to make the original number.

Find the prime factors of 621.

Start with the smallest prime number which is 2. If the number is divisible by 2 then solve further. If not then move to the next prime number.

621 is nor divisible by 2

We move towards the next prime number which is 3.

621 divided by 3 = 207

207 divided by 3 = 69

69  divided by 3 = 23

Now 23 is only divisible by 23 which is also a prime number.

Thus the prime factors of 621 are 3*3*3*23 ....

Answer:

$13.00

Step-by-step explanation:

so you multiply $5.50 by 2.25 gallons

5.50

x 2.25 =

      2750+1100+1100= 12.3750

then you round it off which will make your answer $12.38

then to find out how much it will be with the taxes you add $12.38 and .072 to it to make the total for the ice cream $13.00

Answer:

all values of b

Step-by-step explanation:

6b < 36 or 2b + 12 > 6.

First solve the one on the left

6b < 36

Divide by 6

6b/6 < 36/6

b  <6

Then solve the one on the right

2b + 12 > 6

Subtract 12 from each side

2b+12-12 >6-12

2b >-6

Divide by 2

2b/2 >-6/2

b >-3

b<6 or b >-3

Rewriting

b>-3  or b<6

b > -3 is an open circle at -3 with a line going to the right

b < 6 is an open circle at 6 with a line going to the left

The or means we add the lines together

We have a line going from negative infinity to infinity

all values of b

Answer:

All real numbers  b ∈ [tex](-\infty, \infty)[/tex]

Step-by-step explanation:

First we solve the following inequality

[tex]6b < 36[/tex]

Divide by 6 both sides of the inequality

[tex]b<\frac{36}{6}\\\\b<6[/tex]

The set of solutions is:

[tex](-\infty, 6)[/tex]

Now we solve the following inequality

[tex]2b + 12 > 6[/tex]

Subtract 12 on both sides of the inequality

[tex]2b + 12-12 > 6-12[/tex]

[tex]2b> -6[/tex]

Divide by 2 on both sides of the inequality

[tex]\frac{2}{2}b> -\frac{6}{2}[/tex]

[tex]b> -3[/tex]

The set of solutions is:

[tex](-3, \infty)[/tex]

Finally, the set of solutions for composite inequality is:

[tex](-\infty, 6)[/tex]  ∪ [tex](-3, \infty)[/tex]

This is: All real numbers [tex](-\infty, \infty)[/tex]

Answer: x=34

Step-by-step explanation: Divide each side by -1 to get rid of the negatives and isolate x. You will get x = 34 as your answer.

Answer:

Numbers less than 1/9.

Step-by-step explanation:

We are given a number [tex]a[/tex] and that it is less than -3.

That is [tex]a<-3[/tex].

What is the range of possibles for [tex]\frac{1}{a^2}[/tex]?

So if [tex]a<-3[/tex] then [tex]a^2>9[/tex].

*I knew to flip inequality here because if I square any number less than -3 it was going have a value bigger than 9.

If [tex]a^2>9[/tex], then [tex]\frac{1}{a^2}<\frac{1}{9}[/tex].

*When taking reciprocal flip the inequality.

Let's do a test:

Let's see if we pick a number less than -3 that we get a result that is less than 1/9 after we find the reciprocal of the square of the number we choose.

Let's pick -4.

-4 is less than -3

Square -4, you get 16  and 16>9.

The reciprocal of 16 is 1/16 and 1/16<1/9.

So 1/16 is a number less than 1/9.

Final answer:

The range of possible values for 1/a squared is all positive numbers greater than 0.

Explanation:

The range of possible values of 1/a squared can be determined by considering the range of values for a. Since a is a number less than -3, it means that a is a negative number less than -3. To find the range of possible values for 1/a squared, we need to consider the range of possible values for a squared. Since a squared is the square of a negative number, it will always be positive. Therefore, the range of possible values for 1/a squared is all positive numbers greater than 0.

Answer:

0.6625 in²

Step-by-step explanation:

The surface area of this figure will be the area of the base added to area of the triangles

Area of the 4 triangles

Area of a triangle is given by ;

[tex]A=\frac{1}{2} *b*h[/tex]

where b is the base length and h is the height of the triangle

Area of 1 triangle

Given base length as 0.25 inches and height is 1.2 inches.

[tex]A=\frac{1}{2} *0.25*1.2=0.15\\[/tex]

Area of all 4 triangles

- multiply the area of one triangle by 4

- 0.15*4=0.6 in²

Area of the base

The base is a square of length 0.25 inches

Area of a square=length×length

[tex]A=l*l\\A=0.25*0.25=0.0625in^{2}[/tex]

Total surface area

Total surface area= Area of the triangles + Area of the base

[tex]=0.6+0.0625=0.6625in^{2}[/tex]

Answer:

B. Linear function and a relation

Step-by-step explanation:

The graph is a straight line and by definition a linear function.

Each point on the line can be expressed as an ordered pair i.e  the coordinates (x,y), implying that there is a relation between x and y.

Answer:

B. Linear function and a relation

Step-by-step explanation:

The following terms are defined like so,

Linear: linear functions show up as straigh lines when plotted on a graph

Non-Linear: non-linear functions show up as curvy or wavvy lines when plotted on a graph

Relation: relation graphs have specific outputs for every input, meaning for every x location on the graph there is only one y point.

Based on the definitions above we can determine that the graph in the diagram is both Linear and a Relation, since it is both a straight diagonal line as well as only having one specific y coordinate for every x coordinate. So the answer would be B. Linear function and a relation.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.