Perimeter Given Coordinates
Oct 15, 11:32:13 AM
The points E(7,-5), F(7, 2), G(4, 8), and H(4, 1) form parallelogram EFGH. Plot
he points then click the "Graph Quadrilateral" button. Then find the perimeter of the
parallelogram. Round your answer to the nearest tenth if necessary.
4

Answers

Answer 1

Perimeter of the parallelogram which points are E(7,-5), F(7, 2), G(4, 8), and H(4, 1) = 24 units.

There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.

A parallelogram is a shape with only two dimensions. It has four sides, two parallel pairs of which make up each side. The lengths of the parallel sides are also the same. The form is not a parallelogram if the lengths of the parallel sides are not equal.

Properties of parallelograms

Opposite sides are congruent (AB = DC).Opposite angels are congruent (D = B).Consecutive angles are supplementary (A + D = 180°).If one angle is right, then all angles are right.The diagonals of a parallelogram bisect each other.

Given points are

E(7,-5),

F(7, 2),

G(4, 8), and

H(4, 1)

Perimeter of the parallelogram EFGH=2(EF+FG)

Distance between two points(x₁ , y₁) and (x₂ , y₂ ) can be calculated using the formula  

√(x₂ - x₁ )² + (y₂ - y₁)²

Hence ,length of  EF =  

√(7 - 7  )² + (2 - (-5))²

=√49

=7units

And length of FG =

√(4 - 7  )² + (8 - 4)²

= √16 + 9

= √25

​=5units

Hence, Perimeter of  the  parallelogram EFGH=2(EF+FG)=2(5+7)=24units

We have form parallelogram EFGH. For the result see the attachment-

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Perimeter Given CoordinatesOct 15, 11:32:13 AMThe Points E(7,-5), F(7, 2), G(4, 8), And H(4, 1) Form
Answer 2

Answer:

  27.4 units

Step-by-step explanation:

Given parallelogram EFGH with vertices E(7,-5), F(7, 2), G(4, 8), and H(4, 1), you want to know its perimeter.

Distance between two points

The distance between two points can be found from their coordinates using the distance formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

Application

The distance between points F and G is ...

  d = √((4 -7)² +(8 -2)²) = √(9 +36) = √45 ≈ 6.708

The distance between points E and F will be the difference of their y-coordinates:

  d = √((7 -7)² +(2 -(-5))²) = √(0 +7²) = 7

Perimeter

Since opposite sides of a parallelogram are the same length, the perimeter is twice the sum of two adjacent sides:

  P = 2(EF +FG)

  P = 2(7 +6.708) = 2(13.708) = 27.416

The perimeter of EFGH is about 27.4 units.


Related Questions

ABCD is a rectangle that represents a park. The lines show all the paths in the park. The circular path is in the centre of the rectangle and has a diameter of 10 m. Calculate the shortest distance from A to C across the park, using only the lines shown. B 40 m A 70 m C D​

Answers

Answer is 86.3 m from A to C
This is using 3.14 for pi and rounded to tenths

Step by step

First we will find the diagonal by using Pythagorean theorem a^2 + b^2 = c^2

We know the a & b sides, looking for c the hypotenuse or diagonal

40^2 + 70^2 = c^2

1600 + 4900 = c^2

6500 = c^2

80.6 = c = the full diagonal length.

Now we know the circle has a diameter of 10, so we subtract that from the diagonal length.

80.6 - 10 = 70.6m

Now we need to find the circumference of the circle using C = 2 TT r

We know the diameter is 10, so radius is half of that, so r=5

C = (2) (3.14) (5)

C = 31.4

Since we walk only half of the circle to get from A to C, we divide our circumference by 2.

31.4 / 2 = 15.7

So we have diagonal length of 70.6 + half the circle 15.7 for a total of 86.3m for the path as highlighted on the attachment

Help I don’t understand what’s happening

Answers

Solution of Square root,  x² = 30: x = √30 = √30² = 30, x = -√30 = -√30² = 30

Solution of Cube root, x³ = 30: x = ∛30 = ∛30³ = 30, x = -∛30 = -∛30³ = -30

Given,

Square root x² = 30

Then, the value of:

x = √30 = √30² = 30

x = -√30 = -√30² = 30

x = ∛30 = ∛30² = 3.107

x = -∛30 = -∛30² = -3.107

Now,

Cube root, x³ = 30

x = √30 = √30³ = 164.317

x = -√30 = -√30³ = -164.317

x = ∛30 = ∛30³ = 30

x = -∛30 = -∛30³ = -30

Therefore,

Solution of Square root,  x² = 30:

x = √30 = √30² = 30

x = -√30 = -√30² = 30

Solution of Cube root, x³ = 30:

x = ∛30 = ∛30³ = 30

x = -∛30 = -∛30³ = -30

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Solve for x. Leave your answer in simplest radical form

Answers

Answer:

x = √213

I would appreciate this being marked as brainliest...

Step-by-step explanation:

This is a Pythagoras question because we are given two right-angled triangles and no internal angles other than the right angles.

That 7 is annoying because it won't form a Pythagorean triplet with 10. It means that the answer will probably be in radical form.

We can use radicals to represent the common side.

Introduce Pythagoras. The equation below forms a circle on a graph by the way where r is the radius of the circle.

a² + b² = c²;

Substitute the first triangle.

10² + 7² = c²;

100 + 49 = c²;

149 = c²;

c = √149;

Substitute the second triangle.

(√149)² + 8² = x²;

149 + 64 = x²;

213 = x²;

x = √213;

HELPP Determine which integer will make the inequality 5x + 12 > 2x + 6 false.

S:{−3}
S:{3}
S:{−1}
S:{1}

Answers

The response of Africans to the challenges of modernity as revealed is as follows: Alteration of self-image: It is a stereotype that the people of Africa are still living in the past. We'll, not only Africa but also Asia has always taken a hold of their tradition

solve for v: -28 = v +-12

Answers

Answer:

v = -16

Step-by-step explanation:

Move the variable to the left-hand side and change its sign, so it would then be -28 - v = -12

Then move the constant to the right-hand side and change its sign, so it would become - v = -12 + 28

Then you would calculate the sum: - v = 16

After doing so, change the sides on both sides of the equation, v = -16

So, your answer should be v = -16

The total surface area of this cuboid is 112 cm². Find the value of x. 10 cm length 2 cm width x height​

Answers

Answer:

3 cm

Step-by-step explanation:

Given dimensions of the cuboid:

Length (l) = 10 cmWidth (w) = 2 cmHeight (h) = x cm

If the total surface area of the cuboid is 112 cm²:

[tex]\begin{aligned}\textsf{Total SA of cuboid}&= 2 (\sf lh +wh + lw)\\\implies 112&=2(10x+2x+10 \cdot 2)\\112&=2(12x+20)\\112&=24x+40\\24x&=72\\x&=3\end{aligned}[/tex]

Therefore, the height of the cuboid is 3 cm.

What is 2/5 divided by 1/10?

Answers

Answer:

4

Step-by-step explanation:

2/5 divided by 1/10

Division of fractions

Use copy dot flip

2/5 * 10/1

20/5

4

The answer to this problem is 4

What is the value of x in the equation −x = 6 − 3x + 8?−14−7147

Answers

S={7}

1) Let's solve for x, for the given equation :

-x = 6 -3x +8 Add 3x to both sides

3x-x=-3x+3x +6 +8

2x =14 Divide both sides by 2

x= 7

S={7}

And that is the answer

in the united​ states, the mean birth weight for boys is ​kg, with a standard deviation of kg. assuming that the distribution of birth weight is approximately​ normal, complete parts a through e.

Answers

The proportion of baby boys in the United States that are born with low birth weight is 0.0495

In a set with mean  u and standard deviation σ , the z score of a measure X is given by:

Z= X - u / σ

Z = 2.5- 3.41/ 0.55

Z= -1.6545

Z= -1.65 has a p value of 0.0495

The proportion of baby boys in the United States that are born with low birth weight is 0.0495.

the complete question is

In the United States, the mean birth weight for boys is 3.41 kg with a standard deviation of 0.55 kg. Assume that the distribution of birth weight is approximately normal. A baby is considered of low birth weight if it weighs less than 2.5 kg. What proportion of baby boys in the United States are born with low birth weight

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donuts are sold in bags and cartons. a bag holds four donuts and a carton holds 10 donuts. tom buys b bags of donuts and c cartons of donuts. he buys a total of t donuts. write down a formula for t in terms of b and c

Answers

Answer:

t = b+ c

total = bags + cartons

Write an equation of the parabola in vertex form.

(-2, 6)

(-1,3)

Answers

The equation of parabola in vertex form is y=-3(x+2)^2+6

What is parabola and equation of parabola in vertex form?

Parabola is equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.

The equation of parabola in vertex form is

y=a(x-h)^2+k

Given the vertex (-2,6) and (-1,3)

h=-2 and k=6

y=a〖(x+2)〗^2+6

To find the value of a at vertex (-1,3)

Put y = 3 and x = -1

3=a(-1+2)^2+6

3=a+6

a=-3

The equation of parabola is given by y=-3(x+2)^2+6

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When simplified, i⁹⁹ is equivalent to

Answers

Complex number :

[tex]i^{99}[/tex]= - i.

Why is it called a complex number?A complex number is one that has the notation a + b I a + bi a+bi, where a and b are real numbers and I is the imaginary unit denoted by the expressions I 2 = 1 I 2 = -1 I 2 = 1. Real numbers (R) and pure imaginary numbers (I) are both included in the set of complex numbers, represented by the letter C.In the 19th century, the phrase "complex numbers"—which denotes that they have both real and imaginary components—became widely used. Occasionally, the term "imaginary number" is used to describe a complicated number that is not real or, more commonly, a number whose real portion is zero (a.k.a "pure imaginary").

here,

i = [tex]\sqrt{-1}[/tex]

If the power is

even then the value could be -1 or 1odd then the value could be -i or i

99 is odd so now is

-i if (99+1)/2 is even or is

i is (99+1)/2 is odd

Now check (99+1)/2= 100/2= 50,

50 is even so

i^99 = -i

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Kaylie is 6 years old. Her sister, Amanda is 2x younger. Kaylie is now 36. How old is Amanda?

Answers

In a case whereby Kaylie is 6 years old and  Her sister, Amanda is 2x younger. Kaylie is now 36 the, Amanda age will now be expressed as  33 years.

How can the age of Amanda be calculated?

This implies that when  Kaylie is 6 years old  then her  Her sister, Amanda will be 6/2 = 3 years old.

Then we were told again that Kaylie is now 36, then the age of Amanda will now be (36-3)= 33 years

This is because when Kaylie was 6 years old , she was older by her sisiter by just just 3 years, which is still the same when she grown in age again, the 3 years interval is maintained.

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A $1,000 deposit is made at a bank that pays 12% compounded
How much will you have in your account at the end of 10
monthly.
years?

Answers

Answer- 3,315.53007332

Step-by-step explanation:

In this example the compounded is weekly, so the interest rate has to be converted to a weekly interest rate of tex2html_wrap_inline224 .

At the end of the first week, you will have the $1,000 you had at the beginning of the week plus the interest on the $1,000 or tex2html_wrap_inline226 . At the end of the week you will have

displaymath228

Please help the Asap the question is in the picture

Answers

The length is 16.6ft and the width is 8.9ft

Area of the rectangular area = Length × width

A = LW … 1

What is the explanation?

If he wants to have a rectangular area  of turf with length one foot less than 3 times the width, then

L = 3W - 1 … 2

Substitute 2 into 1

A = (2W-1)W

A = 2W^2 - W

Since area = 150sq.ft

150 = 2W^2 - W

2W^2 - W - 150 = 0

Factorize

2W^2 - W - 150 = 0

W = 1±√1+4(300)/2(2)

W =  1±√1201/2(2)

W = 1±34.655/4

W = 35.655/4

W = 8.91375

W = 8.9 (to nearest tenth)

Get the length

L = A/W

L = 150/8.9

L = 16.85

L = 16.6ft

Hence the length is 16.6ft and the width is 8.9ft

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2b+3=7
2z+2=8
6b+2=14
7d−3=18

Answers

Answer:

b=2

z=3

again b=2

d=3

Step-by-step explanation:

don't know what to explain

[Isosceles and Equilateral Triangles] Solve for x.

Answers

The required value of x is 34° in figure 4, x is 57° in figure 5, x is 81° in figure 6, x is 122° in figure 7, x is 65° in figure 8, x is 54° in figure 9, x is 90° in figure 10, x is 60° in figure 11, and x is 62° in figure 12.

What are the Equilateral Triangles?

In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.

As per figure 4,

x° + 56° + 90° = 180

x = 180 - 146

x = 34°

As per figure 5,

x = 57°

As per figure 6,

36 + 90/2 + 180-x = 180

36 + 45 - x = 180 - 180

x = 36 + 45

x = 81°

As per figure 7,

By the property of Equilateral Triangles

⇒  x = 180 - 58

⇒  x = 122°

As per figure 8,

By the property of Isosceles Triangles

x + 115 = 180

x = 180 - 115

x = 65°

As per figure 9,

6 + x + 60 + 60 = 180

x = 180 - 60 - 60 - 6

x = 54°

As per figure 10,

By the property of Equilateral Triangles

60/2 + 60 + x = 180

x = 180 - 60 - 30

x = 90°

As per figure 11,

By the property of Equilateral Triangles

2(30) + 60 + x = 180

x = 180 - 60 - 60

x = 60°

As per figure 12,

28 + 90 + x = 180

x = 180 - 118

x = 62°

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write and simplify a division expression to find the number of cups of flour max needs to use if he has just 1 egg

Answers

The division expression to find the number of cups of flour Max needs to use if he has only 1 egg is M ÷ N cups of flour.

1 egg = M/N cups of flour.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Let M cups of flour be needed for N eggs.

This can be written as:

N eggs = M cups of flour

Divide both sides by N.

1 egg = M/N cups of flour

Thus,

The division expression to find the number of cups of flour Max needs to use if he has only 1 egg is M ÷ N cups of flour.

1 egg = M/N cups of flour.

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Round to the nearest thousandth 88.6217

Answers

Answer:

88.6000 = 88.622

ANSWER QUICK FOR BRAINLIEST!!! THREE MATH QUESTIONS!!!
Question 10 (Multiple Choice Worth 2 points)
(One-Step Inequalities MC)

Write the inequality for the statement:

the difference between a number and seven eighths exceeds negative two thirds

f plus 7 over 8 is greater than 2 over 3
f minus 7 over 8 is less than or equal to negative 2 over 3
f minus 7 over 8 is greater than negative 2 over 3
f minus 7 over 8 is less than negative 2 over 3
Question 11 (Multiple Choice Worth 2 points)
(Adding and Subtracting Linear Expressions MC)

Simplify the expression.

the expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths

negative 37 over 24 times j minus 17 over 12
negative 37 over 24 times j plus 17 over 12
43 over 24 times j plus 1 over 12
negative 43 over 24 times j plus negative 1 over 12
Question 13 (Multiple Choice Worth 2 points)
(Solving Two-Step Equations MC)

Solve the equation for x.

−0.28x − 15.3 = 1.92

x = 61.5
x = −61.5
x = 47.8
x = −47.8

Answers

1. The inequality for the statement is C. f minus 7 over 8 is greater than negative 2 over 3

2. The value of the expression is C. 43 over 24 times j plus 1 over 12.

3. −0.28x − 15.3 = 1.92 will be B. -61.5.

What is the inequality?

1. The difference between a number and seven eighths exceeds negative two thirds is:

Let the number be f.

This will be:

f - 7/8 > -2/3

2. The expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths will be:

= -1/8j + 2/3 - 5/3j + 9/12

= -1/8j - 5/3j + 9/12 - 8/12

= -3/24j - 40/24j + 1/12

= -43/24j + 1/12

3. −0.28x − 15.3 = 1.92

Collect like term

−0.28x = 1.92 + 15.3

-0.28x = 17.22

x = 17.22 /- 0.28

x = -61.5

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Please help super confused ASAP.

Find f(-9) if f(x) = -2x + 5.

Enter DNE if the value does not exist.

f(-9)=

Answers

Answer:  23

Work Shown:

f(x) = -2x+5

f(-9) = -2(-9)+5

f(-9) = 18+5

f(-9) = 23

Circle O has a circumference of 88π cm.

Circle O has a radius length of r.

What is the length of the radius of the circle?

Answers

The length of the radius of the circle is 44cm.

This problem bothers on the mensuration of flat shapes, a circular shape.

Given data

Circumference of circle C= 88πcm

Radius of circle r=?

To find the length of the radius of the circle.

To solve for the radius let us apply the formula for the circumference of a circle

C=2πr

Substituting our given data

88π=2πr

Making r subject of formula we have

r= 88π/2π

r= 44cm

Hence, The length of the radius of the circle is 44cm.

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Samir and Elizabeth deposit $600.00 into a savings account which earns 1% interestcompounded quarterly. They want to use the money in the account to go on a trip in 2 years.How much will they be able to spend?nt)"Use the formula A = P 1 + , where A is the balance (final amount), P is the principal(starting amount), r is the interest rate expressed as a decimal, n is the number of times peryear that the interest is compounded, and t is the time in years.Round your answer to the nearest cent.$

Answers

To determine a compound Interest

The above formular is for solving compound interest

[tex]\begin{gathered} P\text{ = Principal = \$600, A = Amount , r = rate = 1 \% = 0.01 } \\ n\text{ = number of times quartely = }\frac{12}{4}=3\text{ , t = time in years = 2} \end{gathered}[/tex][tex]\begin{gathered} A\text{ = P ( 1 + }\frac{r}{n})^{nt} \\ A\text{ = \$ 600 ( 1 + }\frac{0.01}{3})^{3x2} \\ A=600(1+0.003)^6 \end{gathered}[/tex][tex]\begin{gathered} A=600(1.003)^6 \\ A\text{ = 600(1.020167)} \\ A\text{ = 612.1}002 \\ A\text{ = 612.10 (nearest cent)} \end{gathered}[/tex]

Hence the compound interest = 612.10 (nearest cent)

a design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. he knows from numerous previous samples that when this service life is in control it is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. on three recent production batches, he tested service life on random samples of four headlamps, with these results: sample service life (hours) 1 495 500 505 500 2 525 515 505 515 3 470 480 460 470 what is the mean of the sampling distribution of sample means when the service life is in control? multiple choice 500 hours 515 hours 495 hours 250 hours 470 hours

Answers

The mean of the sampling distribution of sample means is 495 hours.

What is the mean of the samples?

The mean of samples is the average of a set of samples or data.

This can be calculated using the formula:

Mean= (Sum of terms)/(Number of terms)

Find the mean of each sample as shown below:

Mean service life of sample 1 = [tex]\frac{495+500+505+500}{4} = \frac{2000}{4}[/tex]

                                                = 500 hours

Mean service life of sample 2 =[tex]\frac{525 +515 +505 +515 }{4}=\frac{2060}{4}[/tex]

                                                  = 515 hours

Mean service life of sample 3 =  [tex]\frac{470 +480 +460+ 470}{4}=\frac{1880}{4}[/tex]

                                                  = 470 hours

Find the mean of the sampling distribution of sample means using the formula:

Mean of the sampling distribution (M)

=(Sum of mean of given samples )÷( Number of samples)

M = [tex]\frac{500+515+470}{3}=\frac{1485}{3}[/tex]

M=495 hours

So, the mean of the sampling distribution of sample means is 495 hours.

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The mean of the sampling distribution of sample means is 495 hours.

What is the mean of the samples?

The mean of samples is the average of a set of samples or data.

This can be calculated using the formula:

Mean= (Sum of terms)/(Number of terms)

Find the mean of each sample as shown below:

Mean service life of sample 1 = [tex]\frac{495+ 500+ 505+ 500}{4}=\frac{2000}{4}[/tex]

                                               = 500 hours

Mean service life of sample 2 = [tex]\frac{525+ 515+ 505+ 515 }{4}=\frac{2060}{4}[/tex]

                                                 = 515 hours

Mean service life of sample 3 =  [tex]\frac{ 470+ 480 +460 +470}{4}=\frac{1880}{4}[/tex]

                                                 = 470 hours

Find the mean of the sampling distribution of sample means using the formula:

Mean of the sampling distribution (M)

=(Sum of mean of given samples )÷( Number of samples)

M = [tex]\frac{500+515+470}{3}=\frac{1485}{3}[/tex]

M=495 hours

So, the mean of the sampling distribution of sample means is 495 hours.

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Complete the empty table from the provided information.

Transform the graph of f(x) by dilating it by a factor of -2 and then shift it up 3.

Write the equation of the resulting line in slope intercept form.

Answers

The empty table should be completed with the coordinates of the transformed graph after a dilation with a scale factor of 3 as follows;

x              m(x)

4              -2

2              -1

0              0

-2              1

-4              2

The equation of the resulting line in slope-intercept form is y = -0.5x + 3.

How to transform the graph of f(x) through dilation?

Based on the given coordinates of the graph of function f(x), the dilation with a scale factor of 3 from the origin (0, 0) or center of dilation would be calculated as follows:

Point 1 (-2) → Point 1' (-2 × -2) = Point 1' (4).

Point 2 (-1) → Point 2' (-1 × -2) = Point 2' (2).

Point 3 (0) → Point 3' (0 × -2) = Point 3' (0).

Point 4 (1) → Point 4' (1 × -2) = Point 4' (-2).

Point 5 (2) → Point 5' (2 × -2) = Point 5' (-4).

Next, we would translate the graph of function f(x) 3 units up as follows:

Point 1 (-2) → Point 1' (-2 + 3) = Point 1' (1).

Point 2 (-1) → Point 2' (-1 + 3) = Point 2' (2).

Point 3 (0) → Point 3' (0 + 3) = Point 3' (3).

Point 4 (1) → Point 4' (1 + 3) = Point 4' (4).

Point 5 (2) → Point 5' (2 + 3) = Point 5' (5).

Now, we can determine the slope of the transformed graph:

Slope, m = Δy/Δx

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (2 - 1)/(2 - 4)

Slope, m = -1/2 or -0.5

Mathematically, the slope-intercept form of a straight line is given by;

y = mx + c

Where:

x and y are the points.m represents the slope.c represents the y-intercept.

At point (2, 2) and y-intercept c = 3, we have:

y = mx + c

y = -0.5x + 3

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A square and a rectangle have equal perimeters. The length of a side of the square is 2x+1. The length of the rectangle is x+2 and the width is x. Write and solve an equation to find x

Answers

When a square and a rectangle have the same perimeters. If the length of a side of the square is 4x-1 and  the length of the rectangle is 2x+1 and the width is x+2. then the value of x=1

The perimeter of the square is equal to the perimeter of the rectangle.

The length of a side of the square=4x-1

The perimeter of the square=4a

Where a is the side of the square

Substitute the values in the equation

The perimeter of the square=4(4x-1)=16x-4

The length of the rectangle=2x+1

The width of the rectangle=x+2

The perimeter of the rectangle=2(l+w)

where l is the length and w is the width

The perimeter of the rectangle =2(2x+1+x+2)

=2(3x+3)

= 6x+6

A square and a rectangle have equal perimeters

16x-4=6x+6

16x-6x=6+4

10x=10

x=1

Hence, when a square and a rectangle have the same perimeters. If the length of a side of the square is 4x-1 and  the length of the rectangle is 2x+1 and the width is x+2. then the value of x=1

The complete question is

A square and a rectangle have the same perimeters. The length of a side of the square is 4x-1. The length of the rectangle is 2x+1 and the width is x+2, Write and solve an equation to find x

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What is the equation of the line below?

Answers

Answer: Y = -2x + 1

Step-by-step explanation:

The line has a Y-Intercept of 1, shown as that's where the line passes the Y-Axis. The slope is negative 2, you can find such information by finding one point on a line, then making a triangle to the next point. In this case you would start at (0,1) and go right once (x axis) and down twice (y axis). The slope formula is y2-y1/x2-x1 or change in y/change in x, so if you put 2 (y axis) over 1 (x axis) you would have a slope of 2.

Here is a linear equation: y = 2/3x + 1 Are (6, 5) and (9, 8) solutions to the equation? Explain or show your reasoning.

Answers

The equation y = 2/3x + 1  has a solution of (6, 5) and not (9, 8)

How to determine if the ordered pairs are part of the solutions?

From the question, the equation is given as

y = 2/3x + 1

Also, we have the ordered pairs to be

(6, 5) and (9, 8)

For (6, 5), we have

x = 6 and y = 5

So, the equation becomes

5 = 2/3 x 6 + 1

Evaluate

5 = 5 --- true

For (9, 8), we have

x = 9 and y = 8

So, the equation becomes

8 = 2/3 x 9 + 1

Evaluate

8 = 7 --- false

Hence, (6, 5) is part of the solution and (9, 8) is not

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What do the Zero Exporient and Negative Exponent Properties mean?

Answers

Answer:

Step-by-step explanation:

Zero exponent numbers = 1

When you try to multiply an exponent by zero, it equals one.

Negative exponents is just a 1/x

Negative just flips over the equation.

For example, 9^-1

1/9^1

1/9

Answer:

Step-by-step explanation:

Zero Exponent Property: The zero exponent rule states that when a nonzero number is raised to the power of zero, it equals 1.

Example:  x^0 = 1

Negative Exponent Properties: the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice verse. It also describes how many times we have to multiply the reciprocal of the base.

An example of negative exponents is [tex]3^{-2}[/tex].

Ming had 59 birthday cupcakes. He gave 30 cupcakes to his classmates at school. Ming's family ate another 11 cupcakes at home.
How many cupcakes does Ming have left?

Answers

Answer:18

Step-by-step explanation:

59 - 30 - 11 = 18

59-30=29
29-11=18
18 cupcakes left
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