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)

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

Answer: y = 1/4x + 1

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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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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].

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

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.

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

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.

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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Answer:

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°

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

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

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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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

Answer:

C

Step-by-step explanation:

I got it right on a quiz

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

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]

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

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

Answer:

the actual length is 15 yards

The answer would be letter B.

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

Answer:

Step-by-step explanation:

5000000

+ 2000

5002000 (Answer)

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

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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Answer:

56

Step-by-step explanation:

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

answer to the problem is 9

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.

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