mary needs 50 ft of fence to protect her rectangular garden from squirrels. How long and how wide is the garden if the length is 8 ft more than the width

After the rotation fo 180°, we will get the rectangle J'K'L'M', it can be seen in the image at the end of the answer.

A rotation of 180° always moves the figure 2 quadrants. In this case, the figure starts on the second quadrant, so after the rotation, the figure will be on the fourth quadrant.

Such that the point (x, y) will be transformed into (-x, -y).

The original coordinates of the vertices of our figure are:

Then the image after the transformation is:

The graph can be seen below.

If you want to learn more about rotations, you can read:

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Answer:

Step-by-step explanation:

PART A

Answer: no they will not be the same

PART B

Which cab driver's charge will be less for a ride that is 10 miles in distance?

Madeline's is cheaper

Bert's cab company costs $31 and Madeline's cab company costs $23

Answer:

346.36

Step-by-step explanation:

C=piD

so the21 is theD

A=piR^2

R=D/2(1/2D)

A=22/7×21/2^2=346.36

Answer:

6 quarters and 6 dimes

Step-by-step explanation:

since there is 6 quarters it would be 6x$.25 which is $1.50, and each dime is worth 10 cents so 6x$.10 is $.60, and $1.50+$.60=$2.10

Answer:

x = 3, x = 1

Step-by-step explanation:

Okay, let's set the equation = 0:

3x^2 -12x + 9 = 0

Then, we factorise. To do this, we have to find 2 numbers which have a product of 9 and add up to -12. There are a few ways to do this, but a simple try and error is the easier when using numbers which don't have many factors. So here we know that to get a product of 9, there are only 2 options: 9*1 and 3*3. Now we have to figure out which of these add up to -12. But to do this, we have to take into account the 3, from the x^2 coefficient. This allows to know that the numbers will be 9*1. Then we just need to change the signs to make it work. This would give: -9*-1 (with 3*-1).

The fully factorised equation would be (3x-9)(x-1). Following this, you can always expand it quickly, to check that it really works correctly.

Now let's solve. (3x-9)(x-1) = 0

We say that when two numbers multiplied by each other equal to zero, one of them has to be zero. So if (3x - 9) was equal to 0:

3x - 9 = 0

3x = 9

x = 9/3

x = 3/1

x = 3

Now for the other:

x - 1 = 0

x = 1

Answer: A B E F

Step-by-step explanation:

i’m pretty sure it’s right

Answer:

c) 98

Step-by-step explanation:

let the number be x

x/-7 = -14

=> x= -14*-7

=> x = 98

The best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

Since the sample is normally distributed and has a mean μ = 98.52 F and a standard deviation, σ = 0.727 F and we need to find the percentage of all womenat this university who have a body temperature more than 2 standards deviations above the mean.

Since the sample is normally distributed, 50% of the sample is below the mean. We have 34% of the sample at 1 standard deviation away from the mean and 47¹/₂% at 2 standard deviations above the mean.

So, the percentage below 2 standard deviations from the mean is 50% + 47¹/₂% = 97¹/₂%.

So, the percentage above 2 standard deviations from the mean is 100% - 97¹/₂% = 2¹/₂% = 2.5 %

Since 2.28 % is the closest to 2.5 % from the options, the best estimate is 2.28 %.

So, the best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

Learn more about normal distribution here:

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53.55 / 85 = 0.63

0.63 * 100 = 63

63 - 38 = 25

watch was 25 before discount

Answer:

33

Step-by-step explanation:

(

5

−

√

x

)

2

=

5

2

−

(

2

×

5

×

√

x

)

+

x

=

25

−

10

√

x

+

x

=

(

x

+

25

)

−

10

√

x

In order to eliminate the irrational

−

20

√

2

term with

x

and

y

being integers, we must have:

−

10

√

x

=

−

20

√

2

Divide both sides by

−

10

to get:

√

x

=

2

√

2

So

x

=

(

2

√

2

)

2

=

8

y

=

x

+

25

=

8

+

25

=

33

Answer:

(5/6), -(5/6)

Step-by-step explanation:

See attached image

Answer:

Step-by-step explanation:

Answer:

x(x - 2)² (2x + 1)

Step-by-step explanation:

x³ - 4x² + 4x

x (x² - 4x + 4)

x (x - 2) (x -2) or x (x - 2)²

2x² - 3x - 2

(2x² - 4x) ( 1x - 2 )

2x( x - 2) +1 (x - 2)

(2x + 1) (x - 2)

I hope this helps!

Answer:

92

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

Answer:

if 4:5:3=84 you start by adding (4+5+3=9)....so 9 equals to 84 what about (4) cross multiply....you will 4=28 .....if 9 =84 what about 5 cross multiply.....you will get 35....if 9 =84 what about 3

cross multiply.....you will get 21 so the numbers are.

4=38

5=35

3=21

Answer: 11.786

Step-by-step explanation:

Well the key words here are how much faster, meaning you need to subtract so 55.456-43.67 is 11.786

Answer:

5 groups of 5

Step-by-step explanation:

No. of students = 32
No. of students in each group = 5
No. of students  in ONE group = 7
No. of groups of 5 = 32 - 7
                               = 25
                               = 25/5 = 5

Answer:

C is your answer, the extended version.

Step-by-step explanation:

Siri.

Answer:

i guess there is no difference even if u bought two 10 inch pizza which would totally cost $22 and one 20 inch pizza which is also $22.....

I guess the only problem would be you had to two pizza for the first where as for the second one u would hold one which would be easier....

Step-by-step explanation:

Hope it helps!!!

Answer:

x=5;y=12

Step-by-step explanation:

Hope this answer helps you

Answer:

1st option

Step-by-step explanation:

the figure is a kite

the horizontal diagonal bisects the vertical diagonal , then

x = 5

The diagonals are perpendicular , so using Pythagoras' identity

x² + y² = 13²

5² + y² = 13²

25 + y² = 169 ( subtract 25 from both sides )

y² = 144 ( take square root of both sides )

y = [tex]\sqrt{144}[/tex] = 12

Answer:

Exact: 9.42

Approx: 9

Step-by-step explanation:

The area of a circle is pi*radius^2 (pi=3.14 r=radius ^2= power of 2/squared)

The diameter is two times the radius. So, we need to divide the diameter by two for the first step of solving this.

6/2=3

Now, we know the radius is 3.

Let's square it:

3^2= 3*3

3*3=9

Now, the last step is to multiply it by pi (3.14)
3.14*3=9.42

There we go! The area is 9.42 feet!

X=2

El mejor programa  para que te ayuda es Math,

way

Answer:

D

Step-by-step explanation:

As stated elsewhere, two conditions must be met.

Answers A B and C all meet these 2 conditions. It is only D that gives you the problem.

It adds to 181 which is not 180. 180 is written in stone, A triangle cannot have 179 degrees, nor can it have 181 degrees.

It must have 180.

D has 181 degrees. It cannot be a triangle.

Answer:

60°  and 180°

Step-by-step explanation:

Sum of interior angles of a polygon = (n - 2) × 180°

(where n is the number of sides)

A hexagon has 6 sides

⇒ Sum of interior angles of a hexagon = (6 - 2) × 180° = 720°

Let x = smallest unknown angle

Therefore, 3x = largest unknown angle

Sum the angles and solve for x:

⇒ 114° + 130° + 140° + 96° + x + 3x = 720°

⇒ 480° + 4x = 720°

⇒ 4x = 720° - 480°

⇒ 4x = 240°

⇒ x = 60°

Therefore, smallest unknown angle = 60°

and largest unknown angle = 3 × 60° = 180°

Answer:

Question:

[tex]\textsf{factor : \ } x^4+\dfrac{1}{x^2}[/tex]

Rewrite the expression using the exponent rule [tex]\dfrac{a^b}{a^c}=a^{(b-c)}[/tex]

[tex]\implies x^4+\dfrac{1}{x^2}=\dfrac{x^6}{x^2}+\dfrac{1}{x^2}[/tex]

Factor out common term [tex]\dfrac{1}{x^2}[/tex] :

[tex]\implies \dfrac{1}{x^2}(x^6+1)}[/tex]

Factor [tex](x^6+1)[/tex]:

Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] to get cubic exponents:

[tex]\implies x^6+1 = (x^2)^3+1^3[/tex]

Apply the sum of cubes formula: [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

where [tex]a=x^2[/tex] and [tex]b=1[/tex]:

[tex]\implies (x^2)^3+1^3=(x^2+1)((x^2)^2-x^2 \cdot 1+1^2)[/tex]

[tex]\implies (x^2+1)(x^4-x^2+1)[/tex]

Therefore,

[tex]\implies \dfrac{1}{x^2}(x^6+1)}=\dfrac{1}{x^2}(x^2+1)(x^4-x^2+1)[/tex]

Simplify by dividing the 2nd parentheses by [tex]x^2[/tex]:

[tex]\implies (x^2+1)\left(\dfrac{x^4-x^2+1}{x^2}\right)[/tex]

[tex]\implies (x^2+1)\left(x^2-1+\dfrac{1}{x^2}\right)[/tex]

Factor out [tex]x[/tex] from first parentheses:

[tex]\implies x\left(x+\dfrac{1}{x}\right)\left(x^2-1+\dfrac{1}{x^2}\right)[/tex]

Answer:

[tex]thats \: the \: answer \: pls \: brainliest[/tex]

Step-by-step explanation:

happy to help u

pls mark me as brainlist

We muss add the polynomic expression [tex]x^{2}+16\cdot x = -8[/tex]  by 64 on both sides.

In this question we must apply the completing the square method to solve a quadratic equation, which consists in apply algebra properties to reduce part of a expression into a square perfect trinomial.

According to the step 2, we have the following expression:

[tex]x^{2}+16\cdot x = -8[/tex]   (1)

By applying the principle of compatibility with addition and definition of addition, we have the following expression:

[tex]x^{2}+16\cdot x + 64 = - 8 + 64[/tex]

[tex]x^{2}+16\cdot x +64 = 56[/tex]

Now we proceed to solve the given expression:

[tex](x+8)^{2} = 56[/tex]

[tex]x+8 = \pm 2\sqrt{14}[/tex]

[tex]x = -8 \pm 2\sqrt{14}[/tex]

We muss add the polynomic expression [tex]x^{2}+16\cdot x = -8[/tex]  by 64 on both sides. [tex]\blacksquare[/tex]

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016