“reflection across y= -1” HELP

www.ck12.org Chapter 1. Unit 1: Transformations, Congruence and Similarity

Guidance

In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a

new shape (called the image). A translation is a type of transformation that moves each point in a figure the same

distance in the same direction. Translations are often referred to as slides. You can describe a translation using words

like "moved up 3 and over 5 to the left" or with notation. There are two types of notation to know.

1. One notation looks like T(3,5). This notation tells you to add 3 to the x values and add 5 to the y values.

2. The second notation is a mapping rule of the form (x,y) → (x −7,y +5). This notation tells you that the x and

y coordinates are translated to x −7 and y +5.

The mapping rule notation is the most common.

Example A

Sarah describes a translation as point P moving from P(−2,2) to P′(1,−1). Write the mapping rule to describe this

translation for Sarah.

Solution: In general ,P(x,y) → P′(x +a,y +b).

In this case, P(−2,2) → P′(−2+a,2+b) or P(−2,2) → P′(1,−1)

Therefore:

−2+a = 1 and 2+b = −1

a = 3 b = −3

The rule is:

(x,y) → (x +3,y −3)Answer:

Step-by-step explanation:

Work Shown:

(12 pictures)/(5 minutes) = (132 pictures)/(x minutes)

12/5 = 132/x

12x = 5*132

12x = 660

x = 660/12

x = 55

Note: I used the cross multiplication rule in the third step.

Answer:

Step-by-step explanation:

Answer:  x=4, so PD = 18

Step-by-step explanation:

PD=3x+6

DQ=2x+4

PQ=30

We know that PD+DQ=30

(3x+6)+(2x+4) = 30

5x+10=30

5x=20

x=4

PD=3x+6

PD=3*4+6

PD= 18

[And DQ = 2+4+6, or 12.  PD + DQ = 30.  Checks OK]

Answer:

The width of a rectangular garden is x feet and its length is 5 feet more than twice its width. A 3-foot-wide path borders the inside of the garden on all sides, as shown in the diagram. Represent the total cost of paving the path at a rate of $2.45 per square foot and mulching the garden at a rate of $0.25 per square foot.

Combine the two functions to determine the total cost of paving the path and mulching the garden. To find the area to be paved, find the area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then this is true:

p(x) = f(x) − g(x)

= (2x + 5x) − (2x2 − 13x + 6)

= 2x^2 + 5x − 2x^2 + 13x − 6

= 18x − 6

p(x) = 18x − 6

The cost of paving the path at the rate of $2.45 per square foot is $2.45p(x). The cost of mulching the garden at the rate of $0.25 per square foot is $0.25g(x). So, the total costs for paving the path and mulching the garden can be represented by this function:

$2.45p(x) + $0.25g(x)

= $2.45(18x − 6) + $0.25(2x^2 − 13x + 6)

= $(44.1x − 14.7) + $(0.5x2 − 3.25x + 1.5)

= $0.5x2 + $40.85x – $13.20.

Step-by-step explanation:

Edmentum answer

The area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then we have p(x) = f(x) − g(x).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The width of a rectangular garden is x feet and its length is 5 feet more than twice its width. A 3-foot-wide path borders the inside of the garden on all sides, as shown in the diagram. Represent the total cost of paving the path at a rate of $2.45 per square foot and mulching the garden at a rate of $0.25 per square foot.

Combine the two functions to determine the total cost of paving the path and mulching the garden. To find the area to be paved, find the area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then this is true:

p(x) = f(x) − g(x)

= (2x + 5x) − (2x² − 13x + 6)

= 2x² + 5x − 2x² + 13x − 6

= 18x − 6

p(x) = 18x − 6

The cost of paving the path at the rate of $2.45 per square foot is $2.45p(x). The cost of mulching the garden at the rate of $0.25 per square foot is $0.25g(x). So, the total costs for paving the path and mulching the garden can be represented by this function:

2.45p(x) + 0.25g(x)

= 2.45(18x − 6) + 0.25(2x² − 13x + 6)

= (44.1x − 14.7) + (0.5x² − 3.25x + 1.5)

= 0.5x² + 40.85x – 13.20

Therefore, the total costs for paving the path and mulching the garden can be represented by the function is 0.5x² + 40.85x – 13.20.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

F(-2) means they want the y value when c = -2

In the given function the numbers inside the parentheses are x first and y second.

One of the sets is (-2,1) this shows x at -2 and y at 1, so f(-2) = 1

Answer : 1

Answer:

the answer is 48

Step-by-step explanation:

Answer:

The experimental probability P(E) is 0.1818 = 18.18%

Step-by-step explanation:

The experimental probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

11 trials(11 outcomes)

2 kings(2 desired)

So

P(E) = 2/11 = 0.1818

The experimental probability P(E) is 0.1818 = 18.18%

A card is drawn one at a time from a well-shuffled deck of 52 cards. In 11 repetitions of this experiment, 1 king is drawn. If E is the event in which king is drawn, the experimental probability is [tex]\frac{1}{11}[/tex].

Experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials.

Probability of an Event P(E) = Number of times an event occurs / Total number of trials.

Number of times king was drawn = 1

Number of trials = 11

P(E) = [tex]\frac{Number\ of\ times\ an\ event\ occurs}{Number\ of\ trials}[/tex] = [tex]\frac{1}{11}[/tex]

Learn more about experimental probability here

https://brainly.com/question/15729871

#SPJ2

buz buz

should be the right answer but im not sure

Answer:

See Below.

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = x^2 + 5x \text{ and } g(x) = 4x - 7[/tex]

9)

We want to find:

[tex]f(x) + g(x)[/tex]

Substitute:

[tex]\displaystyle = (x^2 + 5x) + (4x - 7)[/tex]

And combine like terms. Hence:

[tex]f(x) + g(x) = x^2 + 9x - 7[/tex]

10)

We want to find:

[tex]f(x) - g(x)[/tex]

Substitute:

[tex]= (x^2 + 5x) - (4x - 7)[/tex]

Distribute:

[tex]= (x^2 + 5x) + (-4x +7)[/tex]

And combine like terms. Hence:

[tex]f(x) - g(x) = x^2 +x +7[/tex]

11)

We want to find:

[tex]\displaystyle f(x) \cdot g(x)[/tex]

Substitute:

[tex]\displaystyle = (x^2 + 5x)(4x-7)[/tex]

Expand:

[tex]\displaystyle = 4x(x^2 + 5x) - 7(x^2 + 5x) \\ \\ = (4x^3 + 20x^2) + (-7x^2 -35x) \\ \\ = 4x^3 + 13x^2 - 35x[/tex]

Hence:

[tex]\displaystyle f(x) \cdot g(x) = 4x^3 + 13x^2 - 35x[/tex]

12)

We want to find:

[tex]g(x) - f(x)[/tex]

Substitute:

[tex]= (4x -7) - (x^2 + 5x)[/tex]

Distribute:

[tex]= (4x-7) + (-x^2 - 5x)[/tex]

And combine like terms. Hence:

[tex]\displaystyle g(x) - f(x) = -x^2 -x -7[/tex]

Answer:

4/11

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1 - -3)/(7 - -4)

     = (1+3)/(7+4)

    = 4/11

Answer:

it's the third one if you look from the right side to the left

Answer:

Step-by-step explanation:

Answer:

V = π × r² × h

Step-by-step explanation:

All you need to do is multiply the base times the height and since the base is a circle whose formula is π × r², we get π × r² × h.

Hello :D

A mutually exclusive event is something that can't happen at the same time. An example of this is tossing a coin. You can't get heads and tails at the same time. This is a mutually exclusive event.

Hope this helps :)

Answer:

.1/2

Step-by-step explanation:

is the same as 20÷40

which gives you 1/2

Answer:

May I ask, what is x?

Step-by-step explanation:

What is x?

Answer:

2.59

Step-by-step explanation:

37% 7

37 times 100

2.59

Answer:

2.59

Step-by-step explanation:

37% of 7

37*100

2.59

Answer:

On his day off, Lee took a trip to the zoo. He drove an average speed of 65 mph, and it took him two-and-a-half hours to get from his house to the zoo.

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

0.85 = 85%

100% - 85% = 15%

15% = 0.15

Answer:

x = 25/4

Step-by-step explanation:

1/6x-1/8=11/12

The least common multiple for 6, 8, and 12 is 24

Multiply both sides by 24 to clear the fraction

24 (1/6x-1/8=11/12)

4x -3 = 22

Add 3 to each side

4x-3+3 = 22+3

4x= 25

Divide each side by 4

4x/4 = 25/4

x = 25/4

Total time taken to reach the finishing line :

now , the time at which the winner reach the finish line is :

[tex] \hookrightarrow \: 9 :50 + 1 \: hr \: \: and \: \: 15 \: \: min[/tex]

[tex] \hookrightarrow \: 11 : 05[/tex]

He reaches finishing line at 11 : 05

Step-by-step explanation:

Hint :- FH is total length of the line. And FG is the length of the line till point G. We need tos subtract the total length and Length of FG

GH = FH - FG

GH = 15 - 9.7

GH = 5.3 cm

Answer:

GH = 5.3 mm

Step-by-step explanation:

the full length of the line is 15 mm

and FG = 9.7 mm Then GH= 15 - FG

= 15- 9.7 = 5.3

you can think of it like a rope with 15 mm length if you cut ✂️ 9.7 mm u will have 5.3 left

Answer:

C? The formating is messed up but -0.04 is 10 times larger then -0.004

Step-by-step explanation:

Answer:

M = (13, - 6 )

Step-by-step explanation:

The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

L (- 9, 4 ) , let M = (x, y ) , then

[tex]\frac{-9+x}{2}[/tex] = 2 ( multiply both sides by 2 )

- 9 + x = 4 ( add 9 to both sides )

x = 13

and

[tex]\frac{4+y}{2}[/tex] = - 1 ( multiply both sides by 2 )

4 + y = - 2 ( subtract 4 from both sides )

y = - 6

Then

coordinates of M = (13, - 6 )

Answer:

8260

Step-by-step explanat11:

g

Answer: 8260

Step-by-step explanation:

From the decimal point (well, where it would be in this case = 8259.0) you start at the decimal and moving to the left would be tens, hundreds, thousands, etc. So once you know which digit you are looking at to round, 5 and higher, you round up, 4 and below, round down.

So if it was 8253 it would have been 8250.

Answer:

B

Step-by-step explanation:

A=1/2bh=1/2(8)(6)=24

4 × 24 = 96 sq cm

Answer:

[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]

Step-by-step explanation:

[tex]2x ^{2} - x - 8 = 0[/tex]

[tex]x = \frac{ - ( - 1)± \sqrt{( - 1 {)}^{2} } - 4 \times 2 \times ( - 8)}{2 \times 2} [/tex]

[tex]x = \frac{1± \sqrt{1 + 64} }{4} [/tex]

[tex]x = \frac{1± \sqrt{65} }{4} [/tex]

[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]

Answer:

[tex]x=\frac{-1+-\sqrt{65}}{4}[/tex]

Step-by-step explanation:

Using the quadratic formula,

[tex]x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}\\x=\frac{-1+-\sqrt{-1^{2}+64}}{4}\\x=\frac{1+-\sqrt{65}}{4}\\[/tex]