Central Park in New York City is shaped like a rectangle. On a map of the park
in the coordinate plane, three of the vertices are located at (-1.25, -0.25),
(-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the
perimeter of Central Park? Show your work,

Answer:

28

Step-by-step explanation:

y/4-4 =3 /×4

y-16 =12

y =12 +16

y=28

28/4 - 4 =3

7 - 4 =3

3=3

The coordinates of the point (-8,0) after the 270° counterclockwise rotation of the points about the origin will be (0,-8).

It is characterized as the modification of the geometric body's form and coordinates. As a two-dimensional transformation, it is also known as. Rotation, translation, reflection, and gliding translation are only a few of the geometric transformation's conceivable modifications to the geometry.

It is given that the coordinate is  (-8,0) and the point is rotated by 270° counterclockwise about the origin

We have to find the coordinates after a rotation of 270° counterclockwise about the origin.

Plot the points and observe the coordinate in the graph for the given condition.

Thus, following a 270° counterclockwise rotation of the points around the origin, the coordinates of the point (-8, 0) will be (0,-8).

Learn more about the geometric transformation here:

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Answer: Try 6

Step-by-step explanation:

The value of segment DF will be 8 units.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the points C, D, E and F all lie on the same line segment, in that order, such that the ratio of CD: DE: EF is equal to 3 : 2: 6. If CF = 11. The value of DF will be calculated as below:-

3x + 2x + 6x = 11

11x = 11

x =1

DF = 2x + 6x

DF = 2 + 6

DF = 8

Therefore, the value of segment DF will be 8 units.

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If the radius is HALF of the diameter, then the expression would be 1/2r=d or d/2=r.

hope it helps!

Answer:y=-5x-2

Step-by-step explanation:

Answer:

x=5 y= -7

Step-by-step explanation:

y= -3x +8

-(y= -5x -2)

=> y=-3x+8

-y=5x+2

=> 0=2x+10

=> x=5

=>y=-3(5)+8

=> y= -7

Answer:

Number panels Plant B produce = 18,000

Step-by-step explanation:

Given:

Plant produces defective panels = 1140

Plant B produce = 5%

Plant A produce = 2%

Find:

Number panels Plant B produce

Computation:

Assume

Number panels Plant B produce = x

Number panels Plant A produce = x - 6000

So

5%(x) + 2%(x-6000) = 1140

0.05x + 0.02x - 120 = 1140

0.07x = 1260

x = 18,000

Number panels Plant B produce = 18,000

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable (a letter), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

So the terms are 9a, 4b, and 18.

hope it helps!

Answer:

Step-by-step explanation:

For the terms of the expression , Sally has to write coefficients with the variables

Terms: 9a , 4b , - 18

coefficient of b is = 1

Coefficient of a term is the numerical value of the variable

I hope this helps you

Answer:

L (7,-2)   M (0,-9) N (-6,5)  P (1,12)

Step-by-step explanation:

since its over the y axis the y axis numbers will be the opposite

Answer:

(-7,2),(0,9),(6,-5),(-1,-12)

(7,-2),(0,-9),(-6,5),(1,12)

(2,-7),(9,0),(-5,6),(-12,-1)

Answer:

variable

numerical expression

constant

coefficient

variable term

like terms

algebraic expression

numerical expression

Step-by-step explanation:

Answer:

5 x 3 = 15

Step-by-step explanation:

x15 = 3 is impossible, because if you multiplied anything by 15 you wouldn't get 3.

Answer:

5x3= 15

Step-by-step explanation:

Answer:

P(nickel or dime) = 3/4

Step-by-step explanation:

First, find the total amount of coins that there are:

6 + 14 + 16 + 4 = (20) + (20) = 40

You are trying to find P(nickel or dime). Note that there are 14 nickels, and 16 dimes. Add these two numbers together:

P(Nickel or dime) = (14 + 16)/40

P(Nickel or dime) = (30)/40

Simplify. Divide common factors from both the numerator & denominator (10)

P(Nickel or dime) = (30/40)/(10/10) = 3/4

P(nickel or dime) = 3/4

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Answer: That the graphs of the functions never intersect with each other.

Step-by-step explanation:

i guess that this refers for a system of equations.

y = f(x)

y = g(x)

So to solve this, we usually would write:

f(x) = y = g(x)

If that has no solutions, it means that the graphs of f(x) and g(x) never cross eachother.

Answer:6x3

Step-by-step explanation:

it says 3 times as far as jena so 6x3

Answer:

-96

192

-384

Step-by-step explanation:

Multiply by negative 2

Answer:

12

Step-by-step explanation:

Step-by-step explanation:

Let x be the width of the parking lot. Then (x + 10) is the length of the parking lot.

x(x + 10) = 600

x^2 + 10x = 600

x^2 + 10x - 600 = 0

(x+30)(x-20) = 0

x = 20 or x = -30 (rejected as x must be positive)

Hence the length is 30 yards and the width is 20 yards.

We can add the fractions together to compare with how much sugar she needs.

[tex]\frac{1}{2}+\frac{2}{5}=\frac{5}{10}+\frac{4}{5}=\frac{9}{10}[/tex]

So Juvi has [tex]\frac{9}{10}[/tex] cups of sugar.

She needs [tex]\frac{2}{3}[/tex] cups, so let's make the denominators the same and compare.

[tex]\frac{2}{3}=\frac{20}{30}[/tex]

[tex]\frac{9}{10}=\frac{27}{30}[/tex]

Since [tex]\frac{27}{30}[/tex] > [tex]\frac{20}{30}[/tex], she has enough sugar to make 4 batches of brownies.

Hope this helps.

頑張って!

Answer:

The frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.

Step-by-step explanation:

Since the frequency of the burst of electromagnetic radiation is 1 exahertz, and 1 exahertz = 10¹² megahertz. So, the frequency of radiation is 10¹² megahertz. Also 1 megahertz = 10⁶ hertz. So, 10¹² megahertz = 10¹² × 1 megahertz = 10¹² × 10⁶ hertz = 10¹² ⁺ ⁶ hertz = 10¹⁸ hertz.

So the frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.

Answer:

y=4x

Step-by-step explanation:

4/5 - 1/5

y - x

1/5y=4/5x

y=4x

n = - 99

- 213 + n = - 312

n = - 312 + 213

n = - (312 - 213)

n = - 99

Terminating, because it ends. If it was repeating it would go in infinitely, like Pi.

Answer:

s = 120

r = 33

t = 33

Step-by-step explanation:

You are solving for the variables r & t & s. Note that it is given that the two parallelograms are congruent with each other.

Make sure that they are facing the same way. Note that DC ≅ GH, AD ≅HE, FE ≅ AB

Solve:

DC ≅ GH; 70 = s - 50

Isolate the variable, note the equal sign, what you do to one side, you do to the other. Add 50 to both sides;

70 (+50) = s - 50 (+50)

s = 70 + 50

s = 120

Solve:

AD ≅ HE

2r = 66

Isolate the variable, divide 2 from both sides:

(2r)/2 = (66)/2

r = 66/2

r = 33

Solve:

FE ≅ AB

t + 50 = 83

Isolate the variable, subtract 50 from both sides:

t + 50 (-50) = 83 (-50)

t = 83 - 50

t = 33

Step-by-step explanation:

Answer:

less

Step-by-step explanation:

We assume price of a shirt is $100.

Initially price is increased by 10%: 100+10=110

Then it is reduced by 10%: 110-11=99

Now price of a shirt is $99.

Answer is price of a shirt is less than it was at the start.

Answer: c = -0.98

Step-by-step explanation: Differential equation of first order is an equation involving differentiable function and its derivative.

For the differential equation: [tex]xy' +2y=4x^{2}[/tex], it given a solution function:

[tex]y=x^{2}+cx^{2}[/tex]

Factorating the function: [tex]y=x^{2}(1+c)[/tex]

So, to determine constant c, use the initial condition:

When x = 10, y = 2:

[tex]2=10^{2}(1+c)[/tex]

[tex]1+c=\frac{2}{100}[/tex]

[tex]1+c=0.02[/tex]

c = -0.98

Constant c that satisfies the initial condition is c = -0.98

Answer:

c d

Step-by-step explanation:

Answer:

Monthly: 5,083

Bi-weekly: 2,346

Weekly:1,173

Daily: 235