What are the new vertices of triangle QRS, shown, if the triangle is reflected across the line y = x, also shown? Question 6 options: A) Q′ = (–2,–3), R′ = (1,1), S′ = (2,–1) B) Q′ = (2,–4), R′ = (4,0), S′ = (3,–1) C) Q′ = (2,–5), R′ = (5,0), S′ = (2,–1) D) Q′ = (5,2), R′ = (0,5), S′ = (1,2)

What Are The New Vertices Of Triangle QRS, Shown, If The Triangle Is Reflected Across The Line Y = X,

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

Q(- 5, 2 ) → Q'(2, - 5 )

R(0, 5 ) → R'(5, 0 )

S(- 1, 2 ) → S'(2, - 1 )

Answer 2

The coordinates of the reflected point under a line y = x will be Q′ = (2,–5), R′ = (5,0), S′ = (2,–1).

What is a reflection of a point in coordinate geometry?

The reflection of a point in coordinate geometry is the image formed concerning the x-axis, y-axis, or origin.

Under a reflection in the line y = x

A point (x, y ) has reflected point (- x, - y )

Thus,

The coordinates of the reflected point under a line y = x will be Q(- 5, 2 ) → Q'(2, - 5 )

The coordinates of the reflected point under a line y = x will be R(0, 5 ) → R'(5, 0 )

The coordinates of the reflected point under a line y = x will be S(- 1, 2 ) → S'(2, - 1 )

Thus, option C is the correct one.

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Related Questions

if x=2⅓-2, then find the value of x³+6x²+12x​

Answers

Answer:

-6

Step-by-step explanation:

In this equation it gives us the value of x which is,

×=2^(1/3)-2

x=-.74

We then need to plug in this value to, x³+6x²+12x

(-.74)³+6(-.74²)+12(-.74)

-6

I need help need to turn in in less than 20 min

Answers

Use the hint: B*h=V

B=147^2

V=1323^3

So to find h you need to divide V 1323^3 by 147^2

And the answer is 9

So h=9

a ball is dropped from rest from a high window of a tall building and falls for 4 seconds. Neglecting air resistance. The final velocity of the ball is m/s. (g=-9.8m/s 2) the first person to answer me gets the brainliest

Answers

Step-by-step explanation:

v=u+at

v=0+9.8m/s2 ×4s

v=39.2 ms-1

Final velocity; v =  -39.24 m/s

In free fall, the motion is in the direction of gravity.

Formula for final velocity in free fall is;

v = u + gt

(g is negative)

We are told the ball is dropped from rest.

Thus;

Initial velocity: u = 0 m/s

Time; t = 4 secs

Acceleration due to gravity; g = -9.81 m/s²

Thus, Plugging in the relevant values, we have;

v = 0 + (-9.81 × 4)

v = -39.24 m/s

Final velocity; v =  -39.24 m/s

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If my function rule is y=x + 3, what is the OUTPUT if the input is 4?

Answers

Answer:

7

Step-by-step explanation:

The output is 'y'. The input would be 'x'.

[tex]y=x+3\\\\y=4+3\\\\y=7[/tex]

The output should be 7.

Hope this helps.

The output for the function y=x + 3 at input x = 4  will be y = 7.

What is a function?

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given the function is  y=x + 3. the value of the output at input x = 4 will be calculated as:-

y = x + 3

Put x = 4 in the function.

y = 4 + 3

y = 7

Therefore, the output for the function y=x + 3 at input x = 4  will be y = 7.

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A rectangular pan has a length that is the width. The total area of the pan is 432 in.2. What is the width of the cake pan? A = lw 10.4 in. 13.9 in. 18 in. 24 in.

Answers

Answer:

Let width = w

length = 4w/3

Area = 432 = length*width = w*4w/3

4w^2/3 = 432

w^2 = 432*3/4 = 324

w = 18

so the width of the cake pan is 18 inches.

The width of the rectangular pan is 18 inches and this can be determined by using the formula of the area of the rectangle.

Given :

A rectangular pan has a length that is 4/3 the width.

The total area of the pan is 432 square inches.

The following steps can be used in order to determine the width of the cake pan:

Step 1 - The formula of the area of the rectangle can be used in order to determine the width of the cake pan.

Step 2 - The area of a rectangle is given below:

[tex]\rm A = LW[/tex]

where L is the length and W is the width of the rectangle.

Step 3 - According to the given data, the length is 4/3 the width.

Step 4 - Substitute the values of the known terms in the above expression.

[tex]\rm 432 = w\times \dfrac{4w}{3}[/tex]

Step 5 - Simplify the above expression.

[tex]\rm 432 = \dfrac{4w^2}{3}[/tex]

[tex]\rm w^2 = 324[/tex]

w = 18 inches

Therefore, the correct option is C).

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Which of the following statements does not represent the same value as the others?
a) the distance between 0 and −9
b) the absolute value of negative 9
c) the opposite of 9the absolute value of 9

Answers

The answer is In fact b

The statement that does not represent the same value as the others is 'the opposite of 9'

What is an absolute value of number?

"It is the actual distance of the number from zero."

What is opposite of a number?"The opposite of number is a value which is an additive inverse of number.""The opposite of number 'a' is '-a'."

For given question,

We need to find the statement which does not represent the same value as the others.

We find the value for each statement.

a) the distance between 0 and 9

The distance between 0 and 9 is 9.

b) the absolute value of negative 9

We know, |-9| = 9

So, the absolute value of -9 is 9

c) the opposite of 9

The opposite of 9 is -9.

d) the absolute value of 9

|9| = 9

So, the absolute value of 9 is 9.

Therefore, the statement that does not represent the same value as the others is 'the opposite of 9'

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Factorize completely
- 3a² + 4a + 4

Answers

Answer step-by-step:

Identify the geometric mean of 10 and 5/8.

Answers

24.08319

Step 1 : Find 1 / N

  1 / N = 1 / 5 = 0.2

Step 2 : Find mean

 GM = ( 1 * 3 * 5 * 7 * 10 ) 0.2

       = ( 1050 ) 0.2

 GM= 4.020

Which statement is true about the value of |6|?​

Answers

what are the options?

Answer:

C

Step-by-step explanation:

I got it right on a quiz

20 points!!!! please help fast!!!!

Answers

Answer:

0 m/s

Step-by-step explanation:

The line is flat so there is no movement

Answer:

b

Step-by-step explanation:

on this graph a horizantal line means no speed because there is no change in distance

You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. how many hours should you work at each job to earn the maximum amount of money a week?

Answers

Answer:

5hours

Step-by-step explanation:

1 week =7 days

10 hr +20hr = 30 hrs

If you work 4hrs a wee k you will achieve only 28hrs of work so you will have to work for 5hrs to achieve 35hrs of work which is still within the bracket of 40hrs of work

In each job you will work for 2hours 30

minute

Each day you will earn $60.00

At tutoring you get $37.50

At sippy drink you will get $22.50

In a week you will get a maximum of $420.00

-1x + 4y <4
how to slove this

Answers

Answer: y = 1/4x + 1

mark me as Brainliest

Find the distance between each pair of points. Round to the nearest tenth
(-2,2) (5,2)

Answers

Answer:

Distance = 7

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(5-(-2))^2+(2-2)^2} \\d= \sqrt{(7)^2+(0)^2} \\d= \sqrt{49+0} \\d= \sqrt{49}\\ d= 7[/tex]

Solve for x:
-4x+1`=-9x+16

Answers

Answer:

zxc

Step-by-step explanation:

xzcsdcasc

Answer:

x=3

Step-by-step explanation:

−4x+1+9x=−9x+16+9x

5x+1=16

Step 2: Subtract 1 from both sides.

5x+1−1=16−1

5x=15

Step 3: Divide both sides by 5.

5x/5 =15/5

x=3

which one of them is it?

Answers

Answer:

[tex]\boxed{\tt A. \angle8 \ and \angle 7}[/tex]

Step-by-step explanation:

Supplementary angles are angles that add to 180 degrees.

Let's examine the answer choices.

A. ∠8 and ∠7

⇒ These angles are on a straight line together, so they are supplementary.

B. ∠5 and ∠1

⇒ These angles have no relation to each other. They are on different lines that are not parallel.

C. ∠7 and ∠4

⇒These angles also have no relation to each other.

D. ∠2 and ∠4

⇒ These angles are vertical, but not supplementary.

The correct answer is A. ∠8 and ∠7

Which one is it? Help

Answers

The answer would be letter B.

Find the slope and y−intercept. y − 8 = 2x + 6

Answers

The slope is 2 and the y-intercept is (0,14)

The scale on a drawing is 2 inches:5 yards. If a length on the drawing is 6 inches, what is the actual length?

Answers

15 yards. 6/2=3 , 5x3 is 15 yards

Answer:

the actual length is 15 yards

please help! I'm not really sure what the answer is.

Answers

Answer:

The Answer is B (2x[tex]10^{9}[/tex],7x[tex]10^{-1}[/tex],8x[tex]10^{-8}[/tex],9x[tex]10^{-9}[/tex])

Step-by-step explanation:

It is the largest to smallest.

Explain what mistake was made in the problem below and what should be the
right answer.
Student Work:
2(x + 4) – 8 = 3x+10-4
2x + 8–8 = 3x + 6
2x = 3x + 6
- 3x – 3x
X = 6

Answers

Answer:

Instead of moving the 3x to the opposite side of the equation they moved the 2x. And the correct answer is x=-6 not x=6.

Step-by-step explanation:

Student Work:

2(x + 4) – 8 = 3x+10-4

2x + 8–8 = 3x + 6

2x = 3x + 6

- 3x – 3x

X = 6

My work:

2(x+4)-8=3x+10-4

2x+8-8=3x+6

2x=3x+6

-x=6

x=-6

Triangle DEF is a right triangle. What is the measure of ZEFD?
D
57°
F
E

Answers

Answer:

               33°

Step-by-step explanation:

Sum of measures of angles in any triangle is 180°

The maesure of right angle is 90°

So:  m∠EFD = 180° - 90° - 57° = 33°

Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the
towns can be represented by four points: A, G, M, and W. Given that M is the midpoint of AW and MG =
MA + GA, determine the
proper order of the four towns.

Answers

Answer:

W, M, A and G

Step-by-step explanation:

The question is not correct, the correct question is Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the  towns can be represented by four points: A, G, M, and W. Given that MG + WM = WG and MA = MG - AG determine the  proper order of the four towns.

Answer: The line segment addition postulate states that for a line segment AC with point B which lines on AC, then this equation holds:

AB + BC = BC

Given that MG + WM = WG, this means that point M lies between the segment WG.

Also, MA = MG - AG

MA + AG = MG, hence point A lies between segment MG

Therefore the order of the points is W, M, A and G

Y=x-9
Help if possible

Answers

answer to the problem is 9

Y = - 9
x = 9

Hope that helped

Tom bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 32 cards left. How many cards did Tom start with ?

Answers

Answer:

56

Step-by-step explanation:

The answer to your question is 54


SOMEONE HELP ASAP PLEASE

Answers

Answer:

1. 2

2. 2

3. 70

4. 73

Step-by-step explanation:

fill in the blanks according to numbers above

Answer:

= (3+2) + 68

= 3 (2+68)

= 3 + 70

= 73

In an experiment, every hour 20% of the total number of bacteria die, and those remaining bacteria
double. If there were originally 125 bacteria, how many are there after three hours?

Answers

Answer:

Hi there!

Your answer is;

There are 50 bacteria after 3 hours

Step-by-step explanation:

After three hours, with a rate of 20% an hour, 60% should have died

20% of 125 is?

100% is 125

/100

1% is 1.25

×60

60% is 75

125-75= 50

Hope this helps

The price of a dress in reduced by 60%. When the dress it is reduced by 60% of the reduced price. If the price of the dress after both reductions is 48$ what was the original price

Answers

Answer:

28.80$

Step-by-step explanation:

You are finding 60% of 48 because the question is asking what is the price of a 48 dollar item that is 60% off.

What is 5000000+2000

Answers

Answer:

Step-by-step explanation:

5000000

+ 2000

5002000 (Answer)

A.)4
B.)10
C.)18
Which one could be the answer I’m lost.

Answers

f(x) = ((x^2) / 3) + x, for f(6)

f(6) = ((6^2) / 3) + 6

Square 6

f(6) = (36 / 3) + 6

Divide 36 by 3

f(6) = 12 + 6

Combine like terms

f(6) = 18

If someone can help me figure out #6. Thanks

Answers

Answer: [tex](1,-\frac{3}{2})[/tex]

Step-by-step explanation:

To find the midpoint, you use the formula [tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex].

The points are (-2,-1) and (4,-2).

[tex]midpoint=(\frac{-2+4}{2} ,\frac{-1+(-2)}{2} )[/tex]              [add]

[tex]midpoint=(\frac{2}{2} ,\frac{-3}{2} )[/tex]                            [divide]

[tex]midpoint=(1 ,\frac{-3}{2} )[/tex]

Now, we know the midpoint is [tex](1,-\frac{3}{2})[/tex].

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