4. Draw the image of rectangle `ABCD` under dilation using center `P`and scale factor 1/2



a) Complete the table to help you by counting distances from P.



b) To complete the last column, simply MULTIPLY each distance by the scale factor.



c) Drag the points A'B'C'D' to the correct locations on the grid. Use the LAST column of the table to help you find the NEW locations of the points.

Answer:

definition  

The vertex form of a quadratic function is given by

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola.

FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form". To avoid confusion, this site will not refer to either as "standard form", but will reference f (x) = a(x - h)2 + k as "vertex form" and will reference f(x) = ax2 + bx + c by its full statement.

When written in "vertex form":

• (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

• the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0).

• the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).

• notice that the h value is subtracted in this form, and that the k value is added.

            If the equation is y = 2(x - 1)2 + 5, the value of h is 1, and k is 5.

            If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6.

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button To Convert from f (x) = ax2 + bx + c Form to Vertex Form:

Method 1: Completing the Square

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example.

example Convert y = 2x2 - 4x + 5 into vertex form, and stat

Step-by-step explanation:

The area of the plant grass is the amount of plant grass on the field

It is true that one bag of grass and seed will be enough

The dimension of the rectangular area is:

15 feet by 10 feet

So, the area of the rectangular garden is:

Area = 15 feet * 10 feet

Evaluate the product

Area = 150 square feet

There are bags of grass and seed that will cover 200 square feet.

200 square feet is greater than 150 square feet

Hence, one bag of grass and seed will be enough

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Answer:

The area of the plant grass is the amount of plant grass on the field

It is true that one bag of grass and seed will be enough

How to determine if the bag will be enough?

The dimension of the rectangular area is:

15 feet by 10 feet

So, the area of the rectangular garden is:

Area = 15 feet * 10 feet

Evaluate the product

Area = 150 square feet

There are bags of grass and seed that will cover 200 square feet.

200 square feet is greater than 150 square feet

Hence, one bag of grass and seed will be enough

Read more about areas at:

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Step-by-step explanation:

Answer:

-a square bc

Step-by-step explanation:

-ab(ac)

= - (a*a*b*c)

= - a to the power 2 and bc

= -a square bc

Answer:

-a square bc

Step-by-step explanation:

trust

Answer: unfortunately no

Step-by-step explanation:

When rounding numbers...

if the number is less than 5, round down. Other than that 5 and up you round up.

You rounded up, 4 to 5 thousand. 4 is less than 5 so you should had rounded down, your answer is 60,000

Answer:

The vertex form of a quadratic function is  for example f(x) = a(x – h)2 + k, where a, h, and k are constants. of the parabola is at (h, k). When the quadratic parent function f(x) = x2 is written in vertex form, y = a(x – h)2 + k, a = 1, h = 0, and k = 0.

Step-by-step explanation:

Hope this helps!!

Answer:

The vertex form of a quadratic function is f(x) = a(x – h)2 + k, where a, h, and k are constants. of the parabola is at (h, k). When the quadratic parent function f(x) = x2 is written in vertex form, y = a(x – h)2 + k, a = 1, h = 0, and k = 0.

I think it will help you.

Answer:

75

Step-by-step explanation:

miles driven/hours= answer

Answer:

75 miles per hour

Step-by-step explanation:

miles/hours

675/9

75/1 or 75 miles / hour

Answer:

Step-by-step explanation:

f(1) .here x  = 1 and this  is less than 4. so, we have to choose

f(x) = -(x - 2)² - 3

f(1) = -(1-2)² - 3

    = - (-1)² - 3

     = - (1) - 3

     = -1 - 3

     = -4

Answer:

Transitive property

Step-by-step explanation:

Refer to the picture given below;

Answer:

transitive property

Step-by-step explanation:

it not complementary angles because it not 90 degree

it not vertical angles because it doesn't  show pair angles formed when two lines intersect.

it not reflexive property because it doesn't shown a number is always equal to itself.

so, for the reason above i think transitive property is the answer.

Answer:

1.15

Step-by-step explanation:

You add up all three numbers then divide by 3

The average lap time will be 1.15 minutes. The correct option is  B.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that Cheryl ran three laps during her physical education class. If her times were 1.23 minutes, 1.04 minutes, and 1.18 minutes.

The average will be calculated as,

Average = ( 1.23 + 1.04 + 1.18 ) / 3

Average = ( 3.45 / 3 )

Average = 1.15

Hence, the average is 1.15.

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Answer:

Let the number(second) be "P"

The first number= 4×P = 4P

4P + P = 50

5P = 50

P = 50

5

P = 10(second number)

First number = 4×10 = 40

Therefore the numbers are 40 and 10

Answer

A little over 16.

Step-by-step explanation:

If you convert 5 liters to milli-liters, you get 5,000. You then divide 5,000 by 300 and get 16.67.

Hope this helps!

Given:

The expression is [tex](x+4y)^2[/tex].

The expression [tex]ax(2x+y-5)[/tex] simplifies to [tex]6x^2+3xy-15x[/tex].

To find:

The equivalent expression.

The value of a.

Solution:

The expression is

[tex](x+4y)^2[/tex]

Using [tex](a+b)^2=a^2+2ab+b^2[/tex], we get

[tex](x+4y)^2=x^2+2(x)(4y)+(4y)^2[/tex]

[tex](x+4y)^2=x^2+8xy+16y^2[/tex]

Therefore, the correct option is A.

The expression [tex]ax(2x+y-5)[/tex] simplifies to [tex]6x^2+3xy-15x[/tex]. So,

[tex]ax(2x+y-5)=6x^2+3xy-15x[/tex]

[tex]2ax^2+axy-5ax=6x^2+3xy-15x[/tex]

On comparing the coefficient of [tex]x^2[/tex],, we get

[tex]2a=6[/tex]

Divide both sides by 2.

[tex]a=3[/tex]

Therefore, the value of a is 3.

Answer:

x = 10

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(5, 4) and (x₂, y₂ ) = B(15, 0) , then

M = ( [tex]\frac{5+15}{2}[/tex], [tex]\frac{4+0}{2}[/tex] ) = ( [tex]\frac{20}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (10, 2 )

The x- coordinate of M = 10

Answer:

153.86 inches²

Step-by-step explanation:

How do we find the radius of a circle?

How do we find the area of a circle?

Solving

Therefore, the answer is 153.86 inches².

Have a lovely rest of your day/night, and good luck with your assignments! ♡

The area of the circle is 153.86 square inches.

We have,

Diameter = 14 inch

Radius= 14/2 = 7 inch

Now, the formula for area of a circle,

Area = π (radius)²

Now we can calculate the area using the radius:

Area = 3.14 x (7 inches)²

Area = 3.14 x 49 square inches

Area ≈ 153.86 square inches

Therefore, the area of the circle is 153.86 square inches.

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The metabolism rate of a 60 kg cheetah is 1580.2 calorie per day.

An equation shows the relationship between numbers and variables.

Given that:

[tex]P=73.3\sqrt[4]{m^3} \\[/tex]

Where P is the metabolism rate in calorie per day for m mass.

a) For m = 60:

[tex]P=73.3\sqrt[4]{60^3} \\\\P=1580.2[/tex]

The metabolism rate of a 60 kg cheetah is 1580.2 calorie per day.

b)

[tex]P=73.3\sqrt[4]{m^3} \\\\\frac{P}{73.3} = \sqrt[4]{m^3} \\\\m = \sqrt[3]{(\frac{P}{73.3} )^4}[/tex]

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Answer:

$250.00

Step-by-step explanation:

twenty $1 bills- 20 x 1 = 20

six $5 bills- 6 x 5 = 30

four $10 bills- 4 x 10 = 40

five $20 bills- 5 x 20 = 100

thirty $1 bills- 30 x 1 = 30

four $5 bills- 4 x 5 = 20

five $10 bills- 5 x 10 = 50

one $20 bill- 1 x 20 = 20

Add the bold totals together and get the final answer of $250.00

Answer: z=43

Step-by-step explanation:

Answer:

37°

Step-by-step explanation:

∠ABC +∠BAC +∠BCA= 180°

41° + 102° + ∠BCA= 180°

∠BCA= 37°

123.15 ft²

[tex]\bold{area \ of \ sector = \sf \dfrac{\theta}{360} * \pi * radius^2}[/tex]

[tex]\hookrightarrow \sf \dfrac{72}{360} * \pi * 14^2[/tex]

[tex]\hookrightarrow \sf 123.15 \ ft^2[/tex]

Answer:

123.2ft rounded answer

Step-by-step explanation:

Answer:

15.5 ft

Step-by-step explanation:

C=2×pi×r

48.67=2×3.14×r

48.67÷(2×3.14)=r

r= 7.75 ft

diameter = 2× radius

diameter = 2× 7.75

d= 15.5

Hope this helps!

Answer:

  C.  22 square meters

Step-by-step explanation:

The surface area of a rectangular prism can be found from the formula ...

  A = 2(LW +H(L +W))

Filling in the given values, we have ...

  A = 2(2×3 +1×(2+3)) = 2(6 +5) = 22

The surface area of the box is 22 square meters.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Upper level seat = $25

Mid level seat = $40

Number of tickets to give away is at least 25

Budget constraint = $1000

part A: write a system of two inequalities that describe this situation

Number of tickets constraint:

Upper level + mid level ≥ 25

u + m ≥ 25

Cost constraint :

$25u + $40m ≤ $1000

Part B:

Give away 10 upper level seat tickets and 15 mid level seat tickets

Answer:

The answer is y = 0.3x + 35

Step-by-step explanation:

Here, 0.3 is variable and 35 is constant

So,

y = 0.3x + 35

Thus, The answer is y = 0.3x + 35

-TheUnknownScientist 72

Answer:

On a coordinate plane, 5 rectangles are shown. Rectangle L M N P has points (negative 5, 1), (negative 5, 4), (negative 3, 4), (negative 3, 1). Rectangle 1 has points (negative 2, 0), (0, 0), (negative 2, negative 3), (0, negative 3). Rectangle 2 has points (1, negative 1), (1, negative 3), (4, negative 1), (4, negative 3). Rectangle 3 has points (2, 1), (2, 4), (4, 1), (4, 4). Rectangle 4 has points (0, 0), (0, 3), (2, 0), (2, 3).

Which figure represents the final image after composition ry-axis ◦ T3, -1 is applied to rectangle LMNP?

1

2

3

4

it is number 4

Answer:

4

Step-by-step explanation:

Answer:

an=an-1

Step-by-step explanation:

as it doesnt have -6 +3n

Answer: 0.50 cents per ounce. The amount of ounces is 48.

Step-by-step explanation: hope this helps

Answer:

Kaylee bought 48 and the price is $0.50

Step-by-step explanation:

1 pound = 16 oz

so 3 pounds = 48 oz

And then you get $0.50 when you doa step by step explanation comment if you need to know how.

Answer:

0.32 Cups of flour.

Step-by-step explanation:

Since He made a batch of 25 biscuits using 8 cups of flour, then each biscuit contain 8/25 Cups of flour.

In each biscuit, there are 8/25 cups of Flour.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, On the last day of school, Kendrick wants to bring in homemade breakfast biscuits for his classmates.

Since,

He makes a batch of 25 biscuits using 8 cups of flour.

So,

For 25 biscuits, it required flour = 8 cups

Thus, from the proportionality

For 1 biscuit, it required flour = 8/25 cups

Therefore, there are 8/25 cups of flour is in each biscuit.

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Answer:

A is the answer!

The given equation will be   [tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]

From given data - sigma squared = start fraction (x 1 minus mu) squared (x 2 minus mu) squared ellipsis (x n minus mu) squared over n end fraction

The equation formed will be

[tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]

What does the numerator evaluate-

The numerator contains the difference between the data and the mean which means that it shows how much the data is varied from its mean.

What does the denominator evaluate to?

The denominator represents the number of the given data. It is the total number of data given for the analysis.

The variance is the variation of each data from its mean.

Thus  The given equation will be  

[tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]

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Answer:

94, 5, 18.8

Step-by-step explanation:

second part: 4.34