Three ballet dancers are positioned on stage. Jada is 2 meters straight behind Trisha and 4 meters directly left of Ken. When the music begins, Jada twirls to Ken's position, then leaps to Trisha's position, and finally walks back to her original position. How far did Jada travel? If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

10.5 meters

Step-by-step explanation:

in their starting position all three dancers form a right triangle with legs equal to 2m and 4m.

Jada to Ken = 4m

From Ken's position to Trisha's, Jada goes another 2[tex]\sqrt{5}[/tex]m*

From Trisha's position to her original position, Jada goes another 2m

* to get this value: 2² + 4² = x²

x² = √20 = 2√5


Related Questions

A Stock company was selling at 28$ a share a month later it was selling at 21$ a share what is the percent loss ?

Answers

Answer:

25% loss

Step-by-step explanation:

21 is 75% of 28, because 7*3 = 21 and 7*4 = 28

100%-75%=25%

Hope this helps!

Answer:

the answer is 50 %

Step-by-step explanation:

C.P x (100+ (P/L) ) over 100 = S.P

C.P x 50 over 100 = 8500

C.P = 8500 x 100 over 50 = 17000 .Rs.

hope it helps make me the brainliest now !!!!!!!

1.5:4=9:(2y+5)

Solve for y

Answers

Answer:

y = 9.5

Step-by-step explanation:

Express the ratios in fractional form, that is

[tex]\frac{1.5}{4}[/tex] = [tex]\frac{9}{2y+5}[/tex] ( cross- multiply )

1.5(2y + 5) = 36 ( divide both sides by 1.5 )

2y + 5 = 24 ( subtract 5 from both sides )

2y = 19 ( divide both sides by 2 )

y = [tex]\frac{19}{2}[/tex] = 9.5


The absolute value of -12 is

Answers

Answer:

12

Step-by-step explanation:

If the original number is zero or positive, then the absolute value of the number is simply the original number. If the number is negative, then the absolute value is the original number with the negative sign stripped away. For example: Notice that an equation with an absolute value represents two possibilities.  could i get brainliest please

Peter made 19 1/8 cups of chili for the football game. If 14 3/4 cups of the chili were eaten how many cups of chili did peter have left over

Answers

Answer:

Step-by-step explanation:

4(4y - 3x) Need help​

Answers

Answer:

4(4y - 3x)

16y -12x

you can't simplify this any further

Answer:16y-12x
I hope this helps

Please help!

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.

Answers

Answer:

The opposite of -10·t and t - 10·t is t

Step-by-step explanation:

1) The opposite of 4·x and -5 + 4·x is given as follows;

-4·x + (-5 + 4·x) = -4·x -5 + 4·x = -4·x + 4·x - 5 = 0 - 5 = -5

2) The opposite of -10·t and t - 10·t is given as follows;

-(-10·t) + (t - 10·t) = 10·t + t - 10·t = 10·t - 10·t + t = 0 + t = t

3) The opposite of (-7 - 4·v) and -4·v is given as follows;

-(-7 - 4·v) + (-4·v) = -1 × (-7 - 4·v) - 4·v  = 7 + 4·v - 4·v  = 7 + 0 = 7

Subtract (−x − 2) − (4x + 3).

Answers

Answer:

-5x - 5

Step-by-step explanation:

1. Distributive Property

-x - 2 - 4x - 3

2. Combine like terms

-5x - 5

Hope this helped!

Find the equation of the straight line that is parallel to 2y - x = 7 and bisects the line joining the points (3,1) and (1,-5).​

Answers

Answer:

yes that is completely correct

Answer the following Question with Appropriate Explanation

Answers

Answer:

option is B)

Step-by-step explanation:

2x is a perfect square. but x is not a perfect square, this brings us to the conclusion tht prob x is 2.

2x = 4

hence correct option is B) 4x is a perfect square, as 4x4=16, which is a perfect square...

5. Company “A” charges $80 a month for
their cell phone plan and $5 for a 100MB
of Data. Company “B” charges $60 a
month for their cell phone plan and $10 for
a 100MB of Data. How many mega bytes
of data used would make the cost from
either company equal?

Answers

Answer:

400 megabytes of data used will make the cost from either company equal.

Step-by-step explanation:

Given that:

Per month charges of Company A = $80

Charges of 100 MB = $5 = [tex]\frac{5}{100}=\$0.05\ per\ MB[/tex]

Let,

x be the number of MBs consumed.

y be the total charges.

y = 0.05x+80

Per month charges of Company B = $60

Charges of 100 MB = $10 = $0.1 per MB

y = 0.1x+60

For equal charges;

0.05x+80 = 0.1x + 60

80-60 = 0.1x-0.05x

20 = 0.05x

[tex]\frac{0.05x}{0.05}=\frac{20}{0.05}\\x=400[/tex]

Hence,

400 megabytes of data used will make the cost from either company equal.

PLEASE help ASAP!

Thank you!

Answers

Answer:

I thinks its B.14 units

Step-by-step explanation:

HOPE THIS HELPS IF NOT THEN SORRY

Answer:

the answer is 10

Step-by-step explanation:

the formula for distance is square root ( of the entire equation),, (x1-x2) squared +(y1-y2) squared so (-5-3)+(4-(-2)) ( both answers squared) equals -8 squared plus 6 squared and you get 64+36 which is 100 and the square root of 100 is 10. Hope that wasn't confusing

Use the figures to complete the statements proving the converse of the Pythagorean theorem.

Drag and drop a phrase, value, or equation into the box to correctly complete the proof.

To prove the converse of the Pythagorean theorem, we must show that if △ABC has sides of a, b, and c such that a² + b² = c² , then △ABC​​ is a right triangle.

Define ​△DEF​ so that it is a right triangle with sides a, b, and hypotenuse x. By the Pythagorean theorem, a² + b² = x² .

Since ​​a² + b² = c² and a² + b² = x²​​, it must be true that ​c² = x²​. Since sides of triangles are positive, then we can conclude that Response area. Thus, the two triangles have congruent sides and are congruent.

Finally, if ​△ABC​ is congruent to a right triangle, then it must also be a right triangle.

Two right triangles with points labeled in capital letters and sides labeled in lower case letters.

Answers

Answer:

def

Step-by-step explanation:

trust meh

took quiz

Answer:

it is DEF

Step-by-step explanation:

i did the k12 quiz

A rectangular soccer field may have a width between 50 and 100 yards and a length
between 100 and 130 yards. One particular soccer field has a perimeter of 320 yards. Its
length measures 40 yards more than its width. What are the dimensions of this field?

The length is___yards.

The width is____yards.

Answers

Answer:

[tex]perimeter = 2(l + w) \\ but \: length = 40 \times width \\ perimeter = 2(40w + w) \\ p = 2(41w) \\ 320 = 2(41w) \\ w = \frac{320}{(2 \times 41)} \\ w = 3.902 \: yards \\ length = 40 \times w \\ = 40 \times 3.902 \\ l = 156.08 \: yards[/tex]

9514 1404 393

Answer:

length: 100 yardswidth: 60 yards

Step-by-step explanation:

Let w represent the width of the field. Then the length is (w+40), and the perimeter is ...

  P = 2(L +W)

  320 = 2((w+40) +w) . . . . fill in values

  160 = 2W +40 . . . . . . . . . divide by 2, collect terms

  80 = w +20 . . . . . . . . . . .  divide by 2

  60 = w . . . . . . . . subtract 20

  w+40 = 100

The length is 100 yards; the width is 60 yards.

find the base of a parallelogram when the area is 180 feet squared and the height is 15 feet

Answers

Answer:

The base is 12ft

What is the area the following circle either enter an exact answer in terms of pie or use 3.14 for pie enter your answer as a decimal. R=5 

Answers

Answer:

it will be 78.5 units ²

I think It would be 31.4 because you have to do 2r to get the diameter then the diameter multiplied by 3.14 which gets you 31.4. Hope this helps

Solve the equation
2x^2 + 8x - 1 = 0
by completing the square.
Give your answers correct to 2 decimal places.

Answers

Step-by-step explanation:

2x² + 8x - 1 = 0

2(x + 2)² - 9 = 0

2(x + 2)² = 9

(x + 2)² = 4.5

x = √4.5 - 2 or x = -√4.5 - 2

x = 0.12 or x = -4.12.

✨LOTS OF POINTS✨
For each sequence write an explicit formula: 7. 1,5, 25, ... a_1:___ r/d:___ a_n:___
8. 29, 35, 41, ... a_1:___ r/d:___ a_n:___

For this sequence, write a recursive formula 9. 7,49,343, ... r/d:___ a_n:___​

Answers

Answer:

Q7. a₁ = 1 , r = 5, aₙ = 5ⁿ⁻¹Q8. a₁ = 29, d = 6, aₙ =  6n + 23Q9. a₁ = 7, r = 7, aₙ = 7aₙ₋₁

Step-by-step explanation:

Q7.

Given sequence

1, 5, 25, ...

This is a GP with the first term of a₁ = 1 and common ratio r = 5

Explicit formula is:

aₙ = 1*5ⁿ⁻¹= 5ⁿ⁻¹

Q8.

Given sequence

29, 35, 41, ...

This is an AP with the first term of a₁ = 29 and common difference d = 6

Explicit formula:

aₙ = 29 + 6(n - 1) = 29 + 6n - 6 = 6n + 23

Q9.

Given sequence

7, 49, 343, ...

This is a GP with the first term a₁ = 7 and common ratio r = 7

Recursive formula is:

aₙ = aₙ₋₁*7 = 7aₙ₋₁

Please I really need help
This is my last point
Show workings please

Answers

Step-by-step explanation:

By rotating a figure,

The length of its sides remain the same.

Therefore line AB = line A'B'.

=> 5x - 14 = 4x + 4

=> x = 18

Hence, line AB = 5(18) - 14 = 76.

Answer:

The length of AB = 76 units.

Step-by-step explanation:

We know that Rotations, just like reflections, and translations, are termed isometric.

In other words, these transformations do not alter the size of the figure.

If the size and shape of the figure are not altered, then the figures are termed as congruent.

Given

AB = 5x-14

A'B' = 4x+14

As A'B'C'D' is obtained by rotating ABCD,

so

AB = A'B'

substituting AB = 5x-14 and A'B' = 4x+14

5x-14 = 4x+14

5x - 4x = 14+14

x = 18

Thus,

AB = 5x-14

substitute x = 18

AB = 5(18)-14

AB = 90 - 14

AB = 76

Therefore, the length of AB = 76 units.

what is the image point of (8,-7) after a translation right 1 unit and up 4 units?

Answers

Answer:

It is (9,-3) because x increased by 1 unit and y increased by 4 units.

Answer:

[tex](9,-3)[/tex]

Step-by-step explanation:

[tex](8,-7)[/tex]

If it moves right, add the value to the x-coordinate. If it moves left, subtract the value from the x-coordinate. In this case, because the point was translated 1 unit right, we add 1 to the x-coordinate 8.

[tex](9,-7)[/tex]

If it moves up, add the value to the y-coordinate. If it moves down, subtract the value from the y-coordinate. In this case, because the point was translated 4 units up, we add 4 to the y-coordinate.

[tex](9,-3)[/tex]

I hope this helps!

URGENT FOR MY FINAL GRADE DEPENDS IF I PASS THIS CLASS PLEASE HELP

Answers

Answer:

The Answer is B

Step-by-step explanation:

PEMDAS

4 to the power of 3 is 64

100/5 = 20

20 * 4 = 80

80 + 64  = 144

Find the sum.

(3/8x-8)+(3/8x-3)

Step by step explain please!

Answers

3/4x - 11
first calculate the sum
3/4x - 8 - 3
then calculate the difference
3/4x - 11

Answer: 3/4x + -11

Step-by-step explanation:

3/8x -8 + 3/8x - 3

= 3/8x + - 8 + 3/8x + -3

Combine like terms

3/8x + -8 + 3/8x + -3

=(3/8x + 3/8x) + ( -8 + -3)

Answer: 3/4x + -11

Determine whether the function f(x) = -9.5 + 6 + x² is even, odd or neither.

Answers

Answer:

The function f(x) = -9.5 + 6 + x² is neither odd or even.

Step-by-step explanation:

We know that a function is termed as 'even' when

f(-x) = f(x) for all x

We know that a function is termed as 'odd' when

f(-x) = -f(x) for all x

Given the function

f(x) = -9.5x⁵ + 6 + x²

substitute x with -x

f(-x) = -9.5(-x)⁵ + 6 + (-x)²

as (-x)⁵ = -x⁵, so

f(-x) = -(-9.5x)⁵ + 6 + (-x)²

Apply exponent rule: (-a)ⁿ = aⁿ, if n is even

f(-x) = -(-9.5x)⁵ + 6 + x²

Apply rule: -(-a) = a

f(-x) = 9x⁵ + 6 + x²

As

f(-x) ≠ f(x) ≠ -f(x)

Therefore, the function f(x) = -9.5 + 6 + x² is neither odd or even.

- tan^2x + sec^2x = 1 proving trig equations

Answers

Answer:

Is C

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sec²x = 1 + tan²x

Consider the left side

- tan²x + sec²x

= - tan²x + 1 + tan²x ← collect like terms

= 1

= right side, thus proven

A number is squared, then doubled and then 4 is subtracted. The result is the original number. What could the number be?
(Give answers to 2 d.p)

Answers

Answer:

umm its B cause i got it right hope this helped :)

Step-by-step explanation:

Help me out I will gave Brainliest

Answers

Step-by-step explanation:

(3x-2y=-16)first put in standard form y=mx+b

(-2y=-3x-16) divide both sides by -2

y=3/2x+8

Answer:

C

Step-by-step explanation:

By opposite I'm going to assume they mean the perpindicular line

To do this you first need to convert the function into linear form

So we have 3x-2y=-16

and so we can add 2y and 16 to both sides to get

3x+16=2y

then divide by 2 to get

3/2x+8=y

This is our function in linear form but now we need the opposite by taking the negative reciprocal of the slope

This means our near equation is now -2/3x+8 while none of them give that as an option directly if you simplify C it will match

Write the rule for the linear function. Remember a function rule is written using f(x)

Answers

Answer:

The rule for the linear function wil be:

f(x) = x

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points

(0, 0)(1, 1)

Finding the slope between (0, 0) and (1, 1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 =  [1 - 0] / [1 - 0]

                 = 1 / 1

                 = 1

Thus, the slope of the line = m = 1

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = 1 and b = 0 in the slope-intercept form of linear function

y = mx+b

y = (1)x + 0         ∵ m = 1, b = 0

y = x

f(x) = x     ∵

Therefore, the rule for the linear function wil be:

f(x) = x

The local comic book store is having a closeout sale on their last 375 comic books and Pokémon cards. They are selling single issue comics for $5.79 and Pokémon boosters packs for $3.35. Their goal is to make $1345 to break even on their current final cost. Approximately how many of each do they need to sell?

Answers

Answer:

36 comic books and 339 Pokemon cards

Step-by-step explanation:

Let number of comic books be [tex]x[/tex] and number of Pokemon cards be [tex]y[/tex].

Total number of comic books and Pokemon cards is [tex]375[/tex]. So we get the equation

[tex]x+y=375\\\Rightarrow y=375-x[/tex]

Cost of one comic book is $5.79 and one Pokemon card is $3.35.

They need to make $1345 so we get the equation

[tex]5.79x+3.35y=1345\\\Rightarrow 5.79x+3.35(375-x)=1345\\\Rightarrow 5.79x-3.35x+3.35\times 375=1345\\\Rightarrow x=\dfrac{1345-3.35\times 375}{5.79-3.35}\\\Rightarrow x=36.37\approx 36[/tex]

[tex]y=375-x=375-36\\\Rightarrow y=339[/tex]

So, they need to sell approximately 36 comic books and 339 Pokemon cards.

Evaluate 6x - 3, when x = 2 1/4

Answers

Answer:

10.5

Step-by-step explanation:

Plug in 2 1/4

10.5 or 10 1/2

Answer:

21/2 in fractions or 10.5 in decimals

Step-by-step explanation:

6(2 1/4)-3            multiply the denominator with the whole number 2 and add 1

6x 9/4-3         reduce the number with the gratest common factor 2

3 x 9/2-3             when dealing with fraction just multiply denominator

27/2-3                 the denominator will stay the same always

21/2                        Calculate the difference

Word Problem (x and y intertcept)

A doll company can make a doll at a cost of P35 per doll. If the selling of the doll is x pesos and the number of dolls sold per month is 500 - x,

a. Express the monthly profit in pesos as a function of x.

b. If the selling price of the doll is P85, determine the monthly profit. Use the result in letter a.

Answers

Answer:

a. Monthly profit is

(x-35)(500-x)

b. given x = 85, the profit is 20,750 pesos

Step-by-step explanation:

a. The monthly profit is the selling price - cost price

The cost price for the number of dolls made will be ;

35(500-x)

The value of the amount we are selling all is;

x(500-x)

So the monthly profit would be;

x(500-x)-35(500-x)

= (x-35)(500-x)

b. Given the selling price we 85 , we want to calculate the monthly profit

From

what we have, x will be 85

Substituting in the equation we have for A above, we have that;

(85-35)(500-85)

= 50* 415 = 20,750 pesos

Laura walked 612 laps of a circular path in 2 hours. At that rate, how many laps of the path did she walk in one hour? PLz help

Answers

Answer:

The answer is 3 1/4

Step-by-step explanation:

I hope this helps! :)

Answer:

3 1/4

Step-by-step explanation:

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