The straight line PQ with P(1,6) and Q(-6, 1). PQ is mapped onto P'Q' by a reflection in the line = 2. What are the coordinates of P

Answers

Answer 1

Answer:

[tex]P' = (1,-2)[/tex]

Step-by-step explanation:

Given

[tex]P = (1.6)[/tex]

[tex]Q = (-6,1)[/tex]

Reflection over: [tex]y = 2[/tex]

Required

Determine the coordinates of P'

From the given coordinates, the y coordinates of P is 6 and the line of reflection is at y = 2

Since we are to reflect over y = 2, only the y coordinate of P will be affected.

The idea behind reflecting a point over a line is to have an equal distance between [the original point & the line of reflection] and [the new point & the line of reflection]

So, what to do is:

First, calculate the difference between the y coordinates of P and the line of reflection.

The y coordinate of P is 6 and the line of reflection is at y = 2.

So, the difference is: 6 -2 = 4

Next, subtract the calculated difference from the line of reflection to get the y coordinate of P'

y coordinate of P' = 2 - 4 = -2

Hence, the coordinate of P' is: (1,-2)


Related Questions

Which of the following pairs show two congruent triangles?

Answers

Answer:

B and C

Step-by-step explanation:

They're congruent

B and C only because they are equal in size.

What’s the difference between length and dimension? pls provide some examples too.

Answers

Answer:

length is longer

Step-by-step explanation:

length is llonger than dimensions

Answer:

length, is how tall it is....... dimensions is like lenght width and depth

Step-by-step explanation:

a line going up would eb the length,

dimentsions....l lengths...._ width ..... depth /

A chemist calculated that the amount of baking soda required for an experiment is between
(Square root of 20) grams and 14/3 grams. Which value could be the number of grams of baking soda
required for the experiment?
A 4.5 g
B 4.79
C 10.39
D 13.4 g

Answers

Answer:

4.5g

Step-by-step explanation:

it's easy

Which equation represents a line which is perpendicular to the line
7x + 3y = -18?
Oy=7/3x +1
Oy= 3/7 x + 5
Oy= - 3/7 x + 2
Oy= -7/3 x + 6

Answers

Answer: y=3/7x + 5

Step-by-step explanation:

The solution is, y = 3/7 x + 5, equation represents a line which is perpendicular to the line 7x + 3y = -18.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

we know that,

In order to determine the equation with a line perpendicular to the given equation, consider that for two perpendicular lines, the relation in between their slopes is:

m1 = -1/(m2)

where m1 and m2 are the slopes of the lines.

Write the given equation in slope-intercept form to identify the slope m1, as follow:

7x + 3y = -18 subtract 7x both sides

3y = - 7x - 18 divide by 3 both sides

y = -7/3 x - 6

remind that the general form of the equation of a line can be written as follow:

y = mx + b

where m is the slope. Based on the expression for y = -7/3 x - 6, you have

m1 = -7/3

then, calculate m2:

m2 = -1/(m1)

m2 = -1/(-7/3)

m2 = 3/7

Hence, it is necessary that the perpendicular line has a positive slope of 3/7.

From the given answer choices, you can notice that the only option with the required slope is:

y = 3/7 x + 5

To learn more on slope click:

brainly.com/question/3605446

#SPJ7

En una tienda en la que todo está rebajado el 15% he comprado un pantalón por el que he pagado 102 €. ¿Cuál era el precio antes de la rebaja?

Answers

Answer:

120 euros

Step-by-step explanation:

X= 100% del precio (antes de la rebaja)

Pagaste el 85% pues habia descuento del 15%

85%--------------102

100%---------------x

CROSS MULTIPLICATION

85X  =  10200

Divide cada parte por 85

x= 120

Teniendo en cuenta la definición de descuento, el precio antes de la rebaja era 120 €.

En una operación de descuento, el valor que se paga después de haberle practicado el descuento se denomina “valor actual”.  

Recordando que el porcentaje representa una parte del total, el valor actual se puede calcular multiplicando el porcentaje a descontar por el precio original,  al cual luego se divide por cien. Finalmente, se resta al precio original este valor de descuento calculado. De esta manera se averigua el precio de venta.

Entonces, sea el precio original del producto p. Por lo que el descuento del precio original será:

15% de p= (15×p) ÷10

Sabiendo que se ha pagado 102 € por el pantalón, entonces:

p - (15×p) ÷10 = 102

Resolviendo

p - 0,15×p= 102

0,85×p= 102

p= 102÷0.85

p= 120

Finalmente, el precio antes de la rebaja era 120 €.

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PLEASE HELP ME A soccer field is bordered on three sides by a parking lot of width x. The total length of the field and parking lot is 300 m, and the total width is 200 m.
The area of the field is 30.000 m². How wide is the parking lot?

Answers

Answer:

Step-by-step explanation:

Assuming the parking lot is along both widths of the field and only once along the length:

 

the length is (300 - 2x)

the width is (200 -x)

the area is (300-2x)(200-x) = 30000

         60000 -300x - 400x +2x^2 = 30000

        2x^2 -700x + 30000 = 0

         x^2 - 350x + 15000 = 0

          (x    -   300    )(x   -    50    ) = 0

             x = 300 or x=50

x=300 results in negative measures.

the parking lot is x=50 wide

the length of the field is 200, the width of the field is 150

23 points!!!!!!

If the first 2 sides of a triangle are 6 cm and 4 cm, which of the following are possibilities for the other side? Choose all that apply.


2.5 cm


2 cm


1 cm


4 cm

Answers

Answer:

2.5cm and 4cm

Step-by-step explanation:

According to Triangle Inequality Property:

Measurement of any two sides of the triangle should be greater than the third side

So,

For 2.5,

6 + 4 = 10 > 2.5

4 + 2.5 = 6.5 > 6

6 + 2.5 = 8.5 > 4

For 4,

6 + 4 = 10 > 4

4 + 6 = 10 > 4

4 + 4 = 8 > 6

While for 1 and 2,

4 + 1 = 5 < 6

and

4 + 2 = 6 = 6

Hence,

Only 2.5 and 4 are the possible measurements.

36abc + 54ad = ? im struggling with math

Answers

Answer:

18a(2bc+3d)

Step-by-step explanation:

36abc + 54ad = ?

Rewrite as ;

=2*18abc+3*18ad

Factor out common term 18a

18a(2bc+3d)

I HOPE THIS HELPED!!!

The function f(x) = x2 is shifted up five units. Which of the following function equations represents this translation?

A)
f(x) = (x + 5)2

B)
f(x) = (x – 5)2

C)
f(x) = x2 – 5

D)
f(x) = x2 + 5

Answers

i think it’s b but i’m not sure

Type the correct answer in each box. Round your answers to the nearest dollar.


These are the cost and revenue functions for a line of 24-pound bags of dog food sold by a large distributor:






R(x) = -31.72x2 + 2,030x

C(x) = -126.96x + 26,391


The maximum profit of $ Blank

can be made when the selling price of the dog food is set to $ Blank

per bag.

there are two answers

Answers

Answer:

$10,277.32

Step-by-step explanation:

Given the revenue and cost function

R(x) = -31.72x^2 + 2,030x

C(x) = -126.96x + 26,391

The profit function is expressed as;

P(x) = R(x) - C(x)

P(x) = -31.72x^2 + 2,030x-(-126.96x + 26,391)

P(x) = -31.72x^2 + 2,030x+126.96x - 26,391

P(x) = -31.72x^2 + 2,030x+126.96x - 26,391

P(x) = -31.72x^2 + 2,156.96x - 26,391

To have maximum profit, d

The maximum profit dP/dx = 0

dP/dx = -63.44x+2156.96

-63.44x+2156.96=0

63.44x = 2156.96

X = 2156.96/63.44

x = 34

Get the profit

P(34) = -31.72(34)² + 2,156.96(34)- 26,391

P(34) = -36668.32+73336.64-26391

P(34) = 10,277.32

Hence the maximum profit that can be made is $10,277.32

pls help, ill give brainliest

Answers

Answer:

https://www.calculatorsoup.com/calculators/geometry-plane/polygon.php

that might help

Step-by-step explanation:


LAST QUESTION!!!!!!!!!!!

segment AB had a mid point at (-1,-1). point A coordinates (3,2). what are the coordinates of B?​

Answers

Answer:

Just put the opposite coordinates on the other side of the segment and thats your answer!

Step-by-step explanation:

add all these numbers together im too lazy to

Answers

Answer:

874

Step-by-step explanation:

702 is correct

quick mathz

In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1300 grams and mass was decreasing by 6% per day. Determine the mass of the radioactive sample at the beginning of the 8th day of the experiment. Round to the nearest tenth (if necessary).

Answers

The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.

In a lab experiment, the decay of a radioactive isotope is being observed.

At the beginning of the first day of the experiment, the mass of the substance was 1300 grams and the mass decreased by 6% per day.

What is the formula of the nth term?

[tex]a_n=a_1r^{n-1}[/tex]

Use the given value in the formula so we get,

[tex]a_{13}=1100(0.9)^{13-1}[/tex]

Simplify the given term

[tex]a_{13}=310.7[/tex]

Therefore, The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.

To learn more about the nth term visit:

https://brainly.com/question/7882626

Answer:

389

Step-by-step explanation:

What is the Alternate Hypothesis for the following situation:
At most 60% of American vote in the presidential elections.

Answers

Answer:

The alternative hypothesis is; Hₐ;

[tex]\hat p[/tex] > 60%

Step-by-step explanation:

The given hypothesis of the number of Americans that vote in the presidential election is;

Hypothesis; At most 60% of Americans vote in the presidential elections

Therefore, the hypothesis states that the percentage of Americans that vote in the presidential ≤ 60%

The given hypothesis is the null hypothesis due to the presence of one of the operators ≤, ≥, or =

The null hypothesis is therefore, H₀: [tex]\hat p[/tex] ≤ 60%

Therefore, the alternative hypothesis is; Hₐ; [tex]\hat p[/tex] > 60%.

what is the next term of the geometric sequence?

WILL MARK BRAINLIEST

Answers

Answer:

-12

Step-by-step explanation:

I believe they multiply each term by -3/1

4/1 * -3/1 = -12/1 = -12

PLEASE HELPP I AM FAILING AND I NEED THIS ASAP!!! TYSM

Use the function f(x) = 2 sin x-1 to identify the following.

A. amplitude =
B. period =
C. midline=​

Answers

Answer:

See below for answers

Step-by-step explanation:

Do you mean [tex]f(x)=2sin(x-1)[/tex] or [tex]f(x)=2sin(x) -1[/tex]?

Use the formula [tex]f(x)=asin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex]-\frac{c}{b}[/tex] is the phase shift, [tex]d[/tex] is the vertical shift, and the period is [tex]\frac{2\pi}{|b|}[/tex].

Assuming your first case is true, the amplitude would be [tex]|a|=|2|=2[/tex], your period is [tex]\frac{2\pi}{|1|}=2\pi[/tex], and your midline/vertical shift is [tex]d=0[/tex].

Assuming your second case is true, everything but the vertical shift stays the same. It would be [tex]d=-1[/tex] in this case.

1, 3, 5, 7,...
Find the 50th term of the sequence.

Answers

147 is the correct answer

Answer:

99

Step-by-step explanation:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51 ,53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99

Just go up 2 numbers 50 times


A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?

Answers

Answer:

8100/1800 = 4.5 days

Step-by-step explanation:

7x + 2y - 3 = 0 in slope intercept form.

Answers

Answer:

y=(-7/2)x+3

Step-by-step explanation:

7x+2y-3=0

7x+2y=3

2y=-7x+3

y=(-7/2)x+3

Answer:

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )

2y = - 7x + 3 ( divide each term by 2 )

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

A point (–2, 6) is translated 4 units up. What are the coordinates of the new point?

Answers

Answer:

(-2,10)

Step-by-step explanation:

Which list of numbers is ordered from greatest to least?
A. –2 1/5, 2 1/4, 2.23, –2
B. 2 1/4, 2.23, –2, –2 1/5
C. –2, –2 1/5, 2 1/4, 2.23
D. –2 1/5, –2, 2.23, 2 1/4

Answers

Answer: B

Step-by-step explanation:

2 1/4 in decimal form: 2.25

-2 1/5 in decimal form: 2.20

B converted into decimals: 2.25, 2.23, -2, -2.20

Barnie hopped onto his bicycle and pedaled to the park at 15 miles per hour then he wizzed back at 20 miles per hour if the total trip took 7 hours how far was it to the park

Answers

Hey bestie is 60 miles. (It would take 4 hours at 15 mph and then 3 hours at 20 mph)

5 yd
4 yd
6 yd
4 yd
9 yd

Answers

Answer:

thats nice??

Step-by-step explanation:

7556 divided by 3

Answers

Answer:

The answer is 2518.66666667.

Step-by-step explanation:

Answer:

If you meant 7556 divided by 3, then the answer is 2518  2/3

Step-by-step explanation:

A=4 b=3 and c=2 work out 2b-3ac

Answers

Answer:

-18

Step-by-step explanation:

2b-3ac

2(3)-3(4×2)

6-3(8)

6-24

-18

Find the area of the shaded region. The radius of the large circle is 10 m. Round answer to the nearest hundredth.

Answers

Answer:

hello the figure related to your question is missing attached below is the missing figure

answer : 157.08 m^2

Step-by-step explanation:

Calculate the area of the shaded area

= Area of the large circle - Areas of the small circles

= (( [tex]\frac{\pi }{4}[/tex] ) * D^2) - 2(  ( [tex]\frac{\pi }{4}[/tex] ) * d^2 )     given that the small circles are congruent

= (( [tex]\frac{\pi }{4}[/tex] ) * 20^2 ) - 2 ( ( [tex]\frac{\pi }{4}[/tex] ) * 10^2 )

= 314.16 - 157.08

= 157.08 m^2

I need help with this.

Answers

Answer:

(3z+15) cm

Step-by-step explanation:

Perimeter: z cm + 8 cm + (z+3) cm + (z+4) cm = z cm + (z+3) cm + (z+4) cm +8 cm = (3z + 7) cm + 8 cm = (3z+15) cm.

Mhanifa can you please help me? This is due asap! Look at the picture attached. I will mark brainliest!

Answers

Answer:

1. a = 16, b = 14

2. a = 16.5, b = 23.2

3. a = 7.25, b = 6.5

4. a = 8.4, b = 20

Step-by-step explanation:

Problem One:

2a + 6 = 3a - 10

6 = a - 10

16 = a

6b - 3 = 81

6b = 84

b = 14

Problem Two:

4a - 8 + 8a - 10 = 180

12a - 18 = 180

12a = 198

a = 16.5

8(16.5) - 10 = 5b + 6

122 = 5b + 6

116 = 5b

b = 23.2

Problem Three:

5b - 7 = 3b + 6

2b - 7 = 6

2b = 13

b = 6.5

2a = 3(6.5) - 5

2a = 14.5

a = 7.25

Problem Four:

3a + 1.8 = 4a - 6.6

1.8 = a - 6.6

8.4 = a

10(b + 8) = 10(1.4b)

10b + 80 = 14b

80 = 4b

20 = b

Answer:

Properties of a parallelogram

Opposite sides and angles are congruentDiagonals bisect each otherAdjacent interior angles are supplementary#13

Opposite sides

2a + 6 = 3a - 10 ⇒ 3a - 2a = 6 + 10 ⇒ a = 166b - 3 = 5*16 + 1 ⇒ 6b = 81 + 3 ⇒ b = 84/6 ⇒ b = 14#14

Opposite and adjacent angles

(4a - 8) + (8a - 10)= 180 ⇒ 12a= 180 + 18 ⇒ 12a= 198 ⇒ a= 16.5°5b + 6 = 8*16.5 - 10 ⇒ 5b = 122 - 6 ⇒ 5b = 116 ⇒ b = 116/5 ⇒ b = 23.2°#15

Diagonals

5b - 7 = 3b + 6 ⇒ 5b - 3b = 6 + 7 ⇒ 2b = 13 ⇒ b = 6.52a = 3*6.5 - 5 ⇒ 2a = 14.5 ⇒ a = 7.25#16

Opposite sides and alternate interior angles

1.4b = b + 8 ⇒ 0.4b = 8 ⇒ b = 8/0.4 ⇒ b = 203a + 1.8 = 4a - 6.6 ⇒ 4a - 3a = 1.8 + 6.6 ⇒ a = 8.4

Kelly had a part-time job last year. She paid the state $234 in income tax. The state income tax rate is 5.2%. How much did Kelly earn?

Answers

Answer:

$4500

Step-by-step explanation:

Find how much she earned by dividing 234 by 0.052

234/0.052

= 4500

So, she earned $4500

Answer: see below

Step-by-step explanation:

Divide 234 by 5.2 to get one percent of her earnings, $45.

Multiply 45 by 100 to get 100% of her earnings, $4,500

If it asking for the gross earnings, leave it at $4,500

If it is asking for net earnings, subtract 234 from 4500 to get $4,266

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