The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have


concessions and restrooms. Arrange the structures in the sports complex using translations, reflections, and rotations so that the final


arrangement satisfies each of these criteria:


. All the fields and buildings fit on the provided lot.


• Each field is adjacent to at least one building for ease of access.


. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)


• For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball


field.

Answer:

Step-by-step explanation:

Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),

Distance =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

1). Distance between (4, 1) and (2, 2) = [tex]\sqrt{(4-2)^2+(1-2)^2}[/tex]

                                                        = [tex]\sqrt{5}[/tex]

                                                        = 2.24

2). Distance between (-5, 2) and (-3, -2) = [tex]\sqrt{(-5+3)^2+(2+2)^2}[/tex]

                                                            = [tex]\sqrt{20}[/tex]

                                                            = 4.47

3). Distance between (3, -4) and (-2, 1) = [tex]\sqrt{(3+2)^2+(-4-1)^2}[/tex]

                                                          = [tex]\sqrt{50}[/tex]

                                                          = 7.07

4). Distance between (-1, -2) and (1, -4) = [tex]\sqrt{(1+1)^2+(-4+2)^2}[/tex]

                                                          = [tex]\sqrt{8}[/tex]

                                                          = 2.83

5). Distance between (5, -2) and (-1, -1) = [tex]\sqrt{(5+1)^2+(-2+1)^2}[/tex]

                                                           = [tex]\sqrt{37}[/tex]

                                                           = 6.08

Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07

Answer:

Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),

Distance =  

1). Distance between (4, 1) and (2, 2) =

                                                       =

                                                       = 2.24

2). Distance between (-5, 2) and (-3, -2) =

                                                           =

                                                           = 4.47

3). Distance between (3, -4) and (-2, 1) =

                                                         =

                                                         = 7.07

4). Distance between (-1, -2) and (1, -4) =

                                                         =

                                                         = 2.83

5). Distance between (5, -2) and (-1, -1) =

                                                          =

                                                          = 6.08

Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07

Step-by-step explanation:

Answer:

(-3, 4)

Step-by-step explanation:

yeah

Answer:

15 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Rectangle: A = lw

Step-by-step explanation:

Step 1: Define

Identify variables

l = 5 cm

w = 3 cm

Step 2: Find Area

Answer:

A = $12.30

Step-by-step explanation:

15 × 82 = 12.3

100

do you mean

6+(-5-7)/2-8(3)?

-5-7= -12

6+-12/2-8(3)

8(3)=24

6+-12/2-24

-12/2=-6

6+-6-24

6+-6=0

0-24= 24

Answer:

Subtract 7 from –5.

Step-by-step explanation:

Answer:

69.825

Step-by-step explanation:

Answer:

6h + 5b = a

Step-by-step explanation:

Answer:

the answer would be 270

Step-by-step explanation:

i can explain later:

since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.

Step-by-step explanation:

the answer is in the image above

Answer:

12

Step-by-step explanation:

[tex]\sqrt{0^{2} + 12^{2} }[/tex]

12

Answer:

-7j-k-1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.

10k + 17 - 7j - 18 - 11k

10k -11k + 17 - 18 - 7j                Move to group like terms together.

-k - 1 - 7j

Answer:

Slope = 4

Step-by-step explanation:

Consider two set of point through which the line passes.

Let it be ( 0, 4 ) and ( -1 , 0)

Find slope .

[tex]Slope = \frac{rise}{run } = \frac{y_2 - y_ 1 }{x_2 - x_1} , \ where \ \ (x_1 , y_1) = (0, 4 ) \ and \ (x_2, y _ 2) = ( -1 , 0 )[/tex]

[tex]Slope = \frac{0-4}{-1-0} = \frac{-4}{-1} = 4[/tex]

Answer:

The required probability is 0.462.

Step-by-step explanation:

Probability to play the song = 6/7

Probability not to play the song = 1 - 6/7 = 1/7

Required probability  

= Probability to play 5 days x probability not to play 1 one + Probability to play 6 days

[tex]=\left (\frac{6}{7} \right ) ^5\times \frac{1}{7} + \left (\frac{6}{7} \right ) ^6\\\\= \frac{6^5 +6^6}{7^6}\\\\=0.462[/tex]

Answer:

so legendary is twice epic

epic is twice rare

rare is 2.5 uncommon

uncommon twice common

Answer:

225 hahahahahahahhahahahhaha

Hahhahahahaha

The equation in slope-intercept form will be; y = 200- 25x

Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

Thus, we get:

Slope = rise/ run

We have been given that Juanita opens a savings account with $200.

For Each month, she deposits $25 into her account and does not withdraw any money from it.

Therefore, the equation in slope-intercept form of the total amount y in Juanita’s account after x months is,

y = 200- 25x

Here the slope is - 25.

Hence, the equation in slope-intercept form will be; y = 200- 25x

Learn more about slope here:

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Answer:

The answer is A

Step-by-step explanation:

C’(4, –2)

The coordinates of C' are (1, 0)

A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.

Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).

When Triangle ABC is translated 6 units to the right and 1 units up.

We know that rule for translating b unit up and a unit right is

(x, y) → (x+a, y+b)

Hence, the coordinates for C' =

(-5, -1) = (-5+6, -1+1) = (1, 0)

Hence, the coordinates of C' are (1, 0)

For more references on translation, click;

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Answer:

x = 2

Step-by-step explanation:

Given

2.5(6x - 4) = 10 + 4(1.5 + 0.5x) ← distribute parenthesis on both sides

15x - 10 = 10 + 6 + 2x , that is

15x - 10 = 16 + 2x ( subtract 2x from both sides )

13x - 10 = 16 ( add 10 to both sides )

13x = 26 ( divide both sides by 13 )

x = 2

Answer:

2

Step-by-step explanation:

15x-10=10+6+2x

15x-2x=10+10+6

13x=26

divide 13 both sides

x=2

Answer:

r=42 degrees

This is because of vertically opposite angles

s=68

This is because 180( angles in a triangle) minus ( 70 + 42) is equal to 68 degrees

Answer:

r = 42° , s = 68°

Step-by-step explanation:

r and 42° are vertical angles and are congruent , then

r = 42°

The sum of the 3 angles in a triangle = 180° , then

s = 180° - (70 + 42)° = 180° - 112° = 68°

If your asking to select all that apply, The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.ABC,BAD,DCB

More

For the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C

For a circle, take two points on its circumference. That divides the circumference of the considered circle in two parts. Those both parts are called arcs of the circle. The bigger part will be called the major arc, and the smaller one will be called the minor arc.

When the two points are chosen such that they're the endpoints of one of the diameters of the considered circle, then both the arcs are of same length due to symmetry, so there is no concept of major or minor between them.

For this case, there are 5 points, as A, B, C, D, and E.

Since no option is given, so let we take two points which are not on the ends of any diameter.

The points A and B are good enough.

So, the smaller part of the circumference between A and B is the minor arc and the bigger part which contains points like E, D and C is the major arc.

A demonstration is given in the image attached below.

Thus, for the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C (the bigger part).

Learn more about major and minor arcs here:

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Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

╭⋟───────────────

Sentence ⇻ The product of - 11 & - 7 gives 77.

Equation ⇻ [tex]\boxed{-11(-7)=77}[/tex].

───────────────⋞╯

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] RainbowSalt2^{2}2^{2}[/tex] ❦

Answer:

-11(-7) = 77

Step-by-step explanation:

"and" = multiplication sign in maths

Answer:

[tex]\text{1. }2.53^{\circ},\\\text{2. }792,772.98\:\mathrm{ft}[/tex]

Step-by-step explanation:

Start by converting miles to feet:

[tex]150\text{ miles}=150\cdot 5280\text{ feet}=792000\text{ feet}[/tex]

Form a right triangle with the plane's displacement marking the hypotenuse of this triangle. We can now use basic trig for a right triangle to solve for the angle of descent.

Let the angle of descent be [tex]\theta[/tex]. In a right triangle, the tangent of an angle is equal to its opposite side divide by its adjacent side.

Therefore, we have:

[tex]\tan \theta=\frac{35000}{792000},\\\\\theta =\arctan(\frac{35000}{792000})=2.53036411\approx \boxed{2.53^{\circ}}[/tex]

In all right triangles, [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle (Pythagorean Theorem).

Therefore, the length of the plane's path is:

[tex]35,000^2+792,000^2=c^2,\\c^2=628489000000,\\c=\sqrt{628489000000}=792772.981376\approx \boxed{792,772.98\:\mathrm{ft}}[/tex]

Answer:

runner 1 runs with 9 miles / hour

runner 2 runs with 7 miles / hour

Step-by-step explanation:

x = speed of runner 1

y = speed of runner 2

2 hours × (x miles / hour) - 2 hours × (y miles / hour) = 4 miles

2x - 2y = 4

x - y = 2

x = y + 2

1 hour × (x miles / hour) + 1 hour × (y miles / hour) = 16

x + y = 16

y + 2 + y = 16

2y + 2 = 16

2y = 14

y = 7 miles / hour

x = y + 2 = 9 miles / hour

Answer:

B. 6

Step-by-step explanation:

3³ x 3³ = 3⁶

The answer is 6

Answer:

B) 6

Step-by-step explanation:

The reason for this is really awesome and is clearly seen when you expand it.

x^3= x times x times x

x^3= x times x times x

x^3 times x^3= x times x times x times x times x times x= x^6

Answer:

Option (2)

Step-by-step explanation:

Two functions have been given as,

m(x) = x² + 3

n(x) = 5x + 9

And we have to find the value of (mn)(x).

Since, (mn)(x) = m[n(x)]

Therefore, m[n(x)] = (5x + 9)² + 3

                              = 25x² + 90x + 81 + 3

                              = 25x² + 90x + 84

This expression matches with the expression given in option (2).

Therefore, Option (2) will be the answer.

9514 1404 393

Answer:

  x -3y = 4

Step-by-step explanation:

A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)

We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1

For points (-2, -2) and (16, 4), this equation is ...

  (4 -(-2))x -(16 -(-2))y = (4 -(-2))(-2) -(16 -(-2))(-2)

  6x -18y = -12 +36

Dividing by the greatest common factor (6), we have the standard-form equation ...

  x -3y = 4

Answer: None because i dont like cans of paint

Step-by-step explanation: If you dont like cans then you wont like beans. So if d33z + nutz = d33znutz then cans + paint = canspaint

Answer:

m<HFG = 31

Step-by-step explanation:

We can say that m<EFH + m<HFG = m<EFG because of angle addition postulate. Now, we can substitute the values of the angles in.

21 + x + 31 = 2x + 52

x + 52 = 2x + 52

x = 0

Now, we substitute x into the expression of m<HFG:

m<HFG = x + 31

m<HFG = 0 + 31

m<HFG = 31

Answer:

D.    x = 12, solution is not extraneous

Step-by-step explanation:

-4√(x - 3) = -12

Divide both sides by -4

√(x - 3) = 3

Square both sides

x - 3 = 9

add 3 to both sides

x = 12

To see if it's extraneous plug into original problem

-4√(12 - 3) = -12

-4√(9) = -12

-4 * 3 = -12

-12 = -12

not extraneous

Answer:

The standard equation is 7x + y = 9

Step-by-step explanation:

Equations given are:  

7x + 3 = 5 and y - 1 = 6

Set both given equations equal to zero, then combine them into one standard form equation

Set the equations to zero by moving the constant from R.H.S to L.H.S

7x + 3 - 5 = 0

7x - 2 = 0 ---- eq 1

y - 1 = 6

y - 1 - 6 = 0

y - 7 = 0 ----- eq 2

We have to combine eq 1 and eq 2

7x - 2 + y - 7 = 0

7x + y - 9 = 0

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Thus the standard equation is:

7x + y - 9 = 0

7x + y = 9

Thus the standard equation is 7x + y = 9

Answer:

DE is congruent to BE , ED is congruent is EB and the last one is midpoint.

Step-by-step explanation: