Find the measurement of the missing side in each right triangle.

Find The Measurement Of The Missing Side In Each Right Triangle.

Answers

Answer 1

Answer:

12

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

in this case its

[tex]5^{2}[/tex] + [tex]b^{2}[/tex] = [tex]13^{2}[/tex]

25 + [tex]b^{2}[/tex] = 169 subtract 25 from both sides

[tex]b^{2}[/tex] = 144 take square root of each side

b = 12

Answer 2

Answer:

[tex]12[/tex]

Step-by-step explanation:

----------------------------------------

In order to find the missing side of the triangle, we would need to use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]

So,

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

[tex]b^2=144[/tex]

[tex]b=12[/tex]

--------------------

Hope this helps.


Related Questions

Each year the Mannel Department Store has a big end-of-summer
sale. At the sale, they give customers an additional 25% off on all
marked-down merchandise.

a. A beach towel had an original price of $22.00. It was marked
down 10%. What is the final price after the additional
25% discount?

b. A patio table and four chairs originally cost $350.00. They were
marked down 50%. What is the final cost of the table and chairs
with the additional discount?

Answers

Answer:

Es ydjwj rjsbt djeiweke

4x + 5 = 3x + 4??????????

Answers

4x + 5 = 3x +4

4x - 3x = 4-5

x = -1

value of x is equal to -1

Answer:

x = -1

Step-by-step explanation:

4x + 5 = 3x +4 (subtract 3x from both sides)

-3x        -3x

=1x         =0

rewrite: x + 5 = 4 (subtract 5 from both sides)

                  -5  -5

                  =0  =-1

Therefore x = -1 (Please mark brainliest hope i helped :)

Evaluate the expression. 202 + 6(9 + 3) =

Answers

Answer:

274

Step-by-step explanation:

202 + 6(9 + 3) =

PEMDAS says parentheses first

202 + 6(12) =

Then multiply

202 +72

Then add

274

Answer:

274

Step-by-step explanation:

202 + 6(9 + 3)

202 + 6(12)

202 + 72

274


HELP PLEASE I WILL MARK BRAINLIEST

Answers

Answer:

i beleive its option number 1

Answer:

first graph

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then g(x) = | x | - 4 is the graph of f(x) shifted down by 4 units

This is represented by the first graph on the left

The Royal Flush, a plumbing service, charges $65 for a service call (just to come to the house) plus $30 per hour to do the repair job. The Leaky Faucet, another plurbing service, charges $35 for a service call plus $45 per hour to do the repair job. How many hours would a job have to take for the bills of both repair services to be the same?​

Answers

Answer:

Two hours

Step-by-step explanation:

The Royal Flush:

$65 + $30(per hour) = $95(for one hour)

$95 + $30 = $125(for two hours

The Leaky Faucet:

$35 + $45(per hour) = $80(for one hour)

$80 + $45 = $125(for two hours)

Therefore, it would take two hours for both of the repair services to have the same total.


Dan earns $9.50 per hour as a dishwasher. Determine the fewest number of hours he must work to earn
more than $408.

Answers

Answer:

43 hours

Step-by-step explanation:

[tex]\frac{y}{1} :\frac{408}{9.5}[/tex]

y × 9.5 = 408 × 1

9.5y = 408

9.5y ÷ 9.5 = 408 ÷ 9.5

[tex]y=42\frac{18}{19}[/tex]

43 hours

9.50x>=408
____ ___
9.50 9.50

X> = 42.9 or 43

So 43 hours

Confused on this work

Answers

We know that :

 Sum of the interior angles in a Pentagon should be equal to 540°

⇒  x° + (2x)° + (2x)° + 90° + 90° = 540°

⇒  (5x)° = 540° - 180°

⇒  (5x)° = 360°

[tex]\sf{\implies x^{\circ} = \dfrac{360^{\circ}}{5}}[/tex]

x° = 72°

What is the difference of the polynomials?

(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)

6r6s3 – 4r5s4 + 7r4s5
6r6s3 – 13r5s4 – r4s5
8r6s3 – 5r5s4 + r4s5 + 5r3s6
8r6s3 – 13r5s4 + r4s5 – 5r3s6

Answers

Answer:

8r6s3 – 13r5s4 + r4s5 – 5r3s6 it is D

D

Step-by-step explanation:

The value of the difference of the polynomials is,

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)

Now, We can find the difference as;

⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)

⇒ (8r⁶s³ – 9r⁵s⁴ – 4r⁵s⁴ + 3r⁴s⁵ – 2r⁴s⁵ – 5r³s⁶

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

Thus, The value of the difference of the polynomials is,

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ7

∆ABC has coordinates A(3, 1), B(5, 5) and C(4, 1). After a translation, the coordinates of A' are (0,0). What are the coordinates of B' and C'?

Answers

Answer:

B'(2,4) & C'(1,0)

Step-by-step explanation:

According To the Question,

Given, We have an ∆ABC that has coordinates A(3, 1), B(5, 5) and C(4, 1).

Now, After a translation, the coordinates of A' are (0,0) .

Then, the coordinate of B' & C' Also changes the same as like A' .

A(3,1) ⇒ A'(0,0)      {here from x-axis it reduce 3 and from y-axis it reduce 1}

Same as Above,

B(5,5) ⇒ B'(2,4)

&, C(4,1) ⇒ C'(1,0) .

Please help me I would really appreciate it, If you can't that is okay but please try

Answers

Answer:

(3p+10q)

Step-by-step explanation:

9p^2 - 100q^2

Rewriting

(3p)^2 - (10q)^2

This is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(3p-10q) (3p+10q)

Answer:

( 3p + 10 q)

Step-by-step explanation:

9 p ² - l00 q ²

(3p)² - ( 10 q) ²

( a ² - b ² = ( a + b) ( a - b) )

( 3p - 10 q) ( 3 p + 10 q)

Please help me answer my question​

Answers

It’s 40 cm 20 on top and bottom

Answer:

SA= 882cm^2

Step-by-step explanation:

SA=2( width*length + hight*length + hight*width )

SA=2( 9*20+ 9*20+ 9*9)

SA= 2*441

SA=882cm^2

Find |23| absolute value

Answers

Answer:

23

Step-by-step explanation:

The absolute value of any number is just the positive version of that number. For example the absolute value of -12 is 12.

Hope this helps! :)

The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. What are the numbers?

Answers

Answer:

SMALLER NUMBER = 14

BIGGER NUMNER = 34

Step-by-step explanation:

Two equations can be derived from the question

a + 2b = 62 equation 1

3a - b = 116  equation 2

a = bigger number

b = smaller number

multiply equation 1 by 3

3a + 6b = 186 equation 3

subtract equation 2 from 3

5b = 70

b = 14

substitute for b in equation 1

a + 28 = 62

a = 34

Given the graph of the line, choose two points and find the slope. Construct the equations for each of the
points you chose in point slope form. Show your work and explain each step.
*The graph is in the picture *
PLEASE HELP I WILL GIVE BRAINLIST

Answers

Step-by-step explanation:

First, given that we must use point slope form, we can define that as

y - y₁ = m (x-x₁), with m being the slope .

To find the slope, we can use the equation

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Two points on the graph are (0, 1) and (1, 3). For these points, when calculating the slope, 0 and 1 represent x₁ and y₁ respectively, while 1 and 3 represent x₂ and y₂ respectively Using this formula, we can plug our points in to get

[tex]\frac{3-1}{1-0} = 2/1 = 2[/tex]

as our slope. Therefore, our equation is

y - y₁ = 2 (x-x₁).

For our first point, (0,1), we can simply plug 0 in for x₁ and 1 in for y₁ to get

y - 1 = 2(x-0) as one equation

Next, for (1,3) we can plug 1 for x₁ and 3 for y₁ to get

y - 3 = 2 (x-1) as our other equation

gavin and play a game with 20 numbered balls. The 20 balls are numbered from 1 to 20. Write down the probability that the score is a multiple of 3.​

Answers

Step-by-step explanation:

6/20

3/10 (simplified)

do you want the percentage?

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

The multiplies of 3 from 1-20 are:

3, 6, 9, 12, 15, 18

Since there are [tex]20-1+1=20[/tex] numbers from 1-20 inclusive, the probability that a ball is a multiple of 3 is [tex]\frac{6}{20}=\boxed{\frac{3}{10}}[/tex]

11. It refers to the information that supports the claim.
A. reference
B. evidence
C. cite
D. issue​

Answers

Answer:

B. Evidence

Step-by-step explanation:

Reference: like when your drawing something and you want to make sure that you draw the hair the same way some other person did.

Cite: That’s when you give the credits to someone or something 90% sure

Hope this helps :)

Smising, pharming and phishing are three security threats that can occur when using the internet
for shopping. When the user types in a URL they are directed to a fake website. *

A ) Phishing
B ) Pharming
c ) Smishing​

Answers

Answer:

B ) Pharming

Step-by-step explanation:

When the user types in a URL they are directed to a fake website this is known as Pharming. This is one of many cyber attacks and usually occurs from a virus that has found it's way into your personal computer or server. The harmful virus basically waits until you open your internet browser and type in a URL to a specific website. Instead of taking you to that correct website it will take you to a replica site which will send all the information that you input, back to the creator of the virus. This is done so that they can obtain all of your personal information including bank details.

The points (6, 9) and (8, 11) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer: y = 1x + 3

Step-by-step explanation:

If you plot it, you see the slope is 1/1, and the y-intercept is at (0, 3).

MARKING BRAINLIEST

PLS HELP

Answers

Answer:

25

Step-by-step explanation:

Moving it down does not change the length.

At a football game, the ratio of men to women is 4:1 There are 9,000 people in total, and each ticket costs £10 Calculate the amount of money made from tickets sold to men. Remember to include units ( £ ) in your answer.

Answers

Answer:

£72000

Step-by-step explanation:

According to the Question,

Given, At a football game, the ratio of men to women is 4:1 & There are 9,000 people in total

Thus, 5 ⇒ 9000 People

So, 4 ⇒ 7200 People(Men)

      1 ⇒ 1800 People(Women)

And, each ticket costs £10

Thus, The amount of money made from tickets sold to men is 7200 total Men x £10 Per Ticket Cost ⇒ £72000.

Please help with these 2 problems, fill in the blank

Answers

Answer: a. -6x

b. 3a; -3a2 (square) ; - 6

Step-by-step explanation:

The area of a playground is 5 square yards. The length of the playground is 5 times longer than its width. Find the length and width of the playground.

Answers

Answer:

The area of a playground is 20 square yards. The length of the playground is 5 times longer than its width. Find the length and width of the playground.

length = 1 yd, width = 20 yd

length = 2 yd, width = 10 yd

length = 10 yd, width = 2 yd

length = 20 yd, width = 1 y

Which of the following is not a type of correlation associated with scatterplots?
A. no correlation
B. positive correlation
C. negative correlation
D. indefinite correlation
Please select the best answer from the choices provided

Answers

The type of correlation not associated with scatterplots is an indefinite correlation

What is correlation?

Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.

Correlation can only be between -1 and 1 but not outside these values.

The types of correlation that we have to include:
no correlationpositive correlationnegative correlation

Hence the type of correlation not associated with scatterplots is an indefinite correlation

Learn more on correlation here: https://brainly.com/question/26172866

Help me pls i'm struggling need help fast!

Answers

Its the last one

Y= rad x-5

IT ISNT THE 1st OR 2nd HELP LOOK AT IMAGE PLEASE

Answers

Answer:

Last option

Step-by-step explanation:

First method :

Red Line:

Take 2 coordinates through which the line passes. Let it be (0, 7) and (14, 0).

[tex]slope, m=\frac{ 0-7}{14-0} = -\frac{7}{14} = -\frac{1}{2}[/tex]

[tex]Equation : (y - 7) = -\frac{1}{2}(x)[/tex]

                [tex]2y - 14 = -x\\2y + x = 14\\4y + 2x = 28[/tex]                  [tex][ multiply \ by \ 2 \ on \ both \ sides][/tex]

Blue Line:

Take coordinates through which the line passes.

Let it be (-4, -12) and (-10, -9).

[tex]slope, m = \frac{-9 + 14}{-10} = \frac{5}{-10} = -\frac{1}{2}[/tex]

[tex]equation : (y + 12) = -\frac{1}{2} (x+4)\\[/tex]

              [tex]y = -\frac{1}{2}x - 2 - 12\\\\y = -\frac{1}{2}x -14\\\\2y = -x - 28\\\\-2y = x +28[/tex]

Second Method:

From the graph it is clear the lines are parallel. The slopes of line parallel to each other are equal. So convert each equation into standard line equation form :y = mx + b

And check for set of equation whose slope are same.

First set :

[tex]y = 10x - 15 \\\\=> slope = 10\\\\-9x + 2y = 10\\2y = 9x + 10\\\\y = \frac{9}{2}x + 5 => slope = \frac{9}{2}[/tex]

Slopes are not equal.

Second set :

[tex]2y = 2x + 5\\y = x + \frac{5}{2}\\slope = 1\\\\\\3x -4y = -5\\4y = 3x + 5\\\\\y = \frac{3}{4}x + \frac{5}{4}\\\\slope = \frac{3}{4}[/tex]

Slopes are not equal.

Third set :

[tex]y = 3x +10 \\slope = 3\\\\\\2x - 3y = -6\\3y = 2x +6\\\\y = \frac{2}{3}x + 2\\\\slope = \frac{2}{3}[/tex]

Slopes are not equal.

Fourth set :

[tex]2x + 4y = 28\\4y = -2x +28\\\\y = -\frac{1}{2}x + 7\\\\slope = -\frac{1}{2}\\\\\\-2y = x + 28\\\\y = -\frac{1}{2}x - 14\\\\slope = -\frac{1}{2}[/tex]

Slopes are same.

7(x + y) ex2 − y2 dA, R where R is the rectangle enclosed by the lines x − y = 0, x − y = 7, x + y = 0, and x + y = 6

Answers

Answer:

[tex]\int\limits {\int\limits_R {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}[/tex]

Step-by-step explanation:

Given

[tex]x - y = 0[/tex]

[tex]x - y = 7[/tex]

[tex]x + y = 0[/tex]

[tex]x + y = 6[/tex]

Required

Evaluate [tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA[/tex]

Let:

[tex]u=x+y[/tex]

[tex]v =x - y[/tex]

Add both equations

[tex]2x = u + v[/tex]

[tex]x = \frac{u+v}{2}[/tex]

Subtract both equations

[tex]2y = u-v[/tex]

[tex]y = \frac{u-v}{2}[/tex]

So:

[tex]x = \frac{u+v}{2}[/tex]

[tex]y = \frac{u-v}{2}[/tex]

R is defined by the following boundaries:

[tex]0 \le u \le 6[/tex]  ,  [tex]0 \le v \le 7[/tex]

[tex]u=x+y[/tex]

[tex]\frac{du}{dx} = 1[/tex]

[tex]\frac{du}{dy} = 1[/tex]

[tex]v =x - y[/tex]

[tex]\frac{dv}{dx} = 1[/tex]

[tex]\frac{dv}{dy} = -1[/tex]

So, we can not set up Jacobian

[tex]j(x,y) =\left[\begin{array}{cc}{\frac{du}{dx}}&{\frac{du}{dy}}\\{\frac{dv}{dx}}&{\frac{dv}{dy}}\end{array}\right][/tex]

This gives:

[tex]j(x,y) =\left[\begin{array}{cc}{1&1\\1&-1\end{array}\right][/tex]

Calculate the determinant

[tex]det\ j = 1 * -1 - 1 * -1[/tex]

[tex]det\ j = -1-1[/tex]

[tex]det\ j = -2[/tex]

Now the integral can be evaluated:

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA[/tex] becomes:

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{x^2 - y^2}} \, *\frac{1}{|det\ j|} * dv\ du[/tex]

[tex]x^2 - y^2 = (x + y)(x-y)[/tex]

[tex]x^2 - y^2 = uv[/tex]

So:

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{|det\ j|}\, dv\ du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *|\frac{1}{-2}|\, dv\ du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{2}\, dv\ du[/tex]

Remove constants

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 {\int\limits^7_0 {ue^{uv}} \, dv\ du[/tex]

Integrate v

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 \frac{1}{u} * {ue^{uv}} |\limits^7_0 du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 e^{uv} |\limits^7_0 du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{u*7} - e^{u*0}]du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{7u} - 1]du[/tex]

Integrate u

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7u} - u]|\limits^6_0[/tex]

Expand

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -(\frac{1}{7}e^{7*0} - 0)][/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -\frac{1}{7}][/tex]

Open bracket

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} - 6 -\frac{1}{7}][/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} -\frac{43}{7}][/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{42} -\frac{43}{7}][/tex]

Expand

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}[/tex]

can someone pls help me find the gradient and y-intercept of the last 2 questions . tysm i will give brainliest !

Answers

I’m answering for d coz there is no diagram for c.
H (2,-2)
J (-2,0)
M= (y2 - y1) / (x2 - x1)
= (0 - (-2)) / (-2-2)
= 2 / -4
= -1/2

Y intercept = -1

Regards.

Find the square root

Answers

[tex]\longrightarrow{\green{π=3.14}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \sqrt{ {\pi}^{2} } \\ \\ = \pi \\ \\ = \frac{22}{7} \\ \\ ( \: or \: ) \\ \\ = 3.14 \\ \\ (∵ \sqrt{( {a})^{2} } = a)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

[tex]\pi = 3.14 \\ \\ \sqrt{\pi {}^{2} } \\ \sqrt{ {3.14}^{2} } \\ |3.14| \\ \\ = 3.14[/tex]

Final Answer: 3.14

Step By Step Explanation:

Simplify The root: Reduce the index of the radical and exponent with 2Calculate The Absolute Value: The absolute of any number is always positive.

Alternate Forms:

157/503 7/50

☆彡Hanna

Two amounts of money are in the ratio 8:3 if the second amount is 4.05,what is the value if the first amount?​

Answers

Answer: 10.75 currency units

Step-by-step explanation:

The amounts of money are in the ration 8:3 which means that for every 3 units of the second amount, there are 8 units of the first.

Use direct proportion to solve:

8      :      3

x      ;       4.03

Cross multiply to get:

3x = 32.24

x = 32.24 / 3

x = 10.75 currency units

A soccer ball has an original price of $40. But, the soccer ball is on sale and is now 30% off. How much money will you save?

Answers

Final price: $29.68

Savings: $12.72

Answer:

We would have saved $12.

Step-by-step explanation:

First off, we know that the original price is $40.

Since the ball is 30% off, we'll multiply $40 by 70% to find the price it's sold by after the discount. 70% in decimal form is 0.70, so we would multiply 40(0.70)

40(0.70) = 28

This means that after a 30% discount, the price of the soccer ball is $28.

To find how much we saved, we would subtract $28 from $40.

40-28 = $12

$12 is the amount of money you saved.

Other Questions
whats the formula for volume Match the following parts of an atom to their description.Neutron?Negatively chargedparticle that movesaround the nucleusNucleus?Positively charged particlein the nucleusElectron2Noncharged particle in thenucleusProton?Composed of protons andneutrons Find the value of x to the nearest tenth. Find the area of the sector with a central angel of 120 and a radius of 8 inshces. Leave in terms of pie A spinner is divided into 4 equal sections numbered 1 through 4. It is spun twice, and the numbers from each spin are added.What is the probability that the sum is less than 6? Pythagoras1.if the radius of the smaller circle is 3, find its area2. Find the area of the yellow ring 3. Find the area of the white ring Which number is GREATEST?0.270.0460.2970 0.3 write 36m9m in standard form What solid 3D object is produced by rotating the triangle about line m? ANSWER ASAP. TROLL AND LINK ANSWERS REPORTED. WILL AWARD BRAINLIEST. Find the distance from point P to RQ The table shows how the time it takes a train to travel between two cities depends on its average speed. The table shows how the time it takes a train to travel between two cities depends on its average speed Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour? What does the number 160 represent in the rational function that models the situation? distance, in miles, between the cities amount of fuel, in gallons, used by the train time, in minutes, needed to travel between the cities How does Shakespeare characterize Claudius in thispassage?Claudius is warm and fatherly.O Claudius is distraught and mournful.Claudius is detached and critical.O Claudius is lighthearted and joyful.alet, Find the value of x. Give a reason to justify your solution. A rope horizontally pulls a massive object lying on a surface with friction with a constantvelocity. What describes the force on the rope? Drag each item to the correct location on the table.Classify each research source as a print or Internet source.Austen, Rob. Following theRiver. Washington, DC:Brownstein & Gould,.2004. Print.Bowerman, Katye. "HandlingEating Disorders in Teens.The Ohio Press Spinstein .Inc., 27 Mar.2006.Web. 1 Mar. 2015.Brown, Jackson. "The SonicBoom of Technology."News!News!News!Bronson Jakes, 6 July2011. Web. 1 Mar. 2015.Peterson, Evangeline. TheUnabridged Journals ofDouglas E. Johnson.1st ed. Vol. 1.Chicago: Anchor,1993. Print.Scoleville, Jason, andTabitha Huson. "Playing theGame." Egyptian Summit28 Feb. 2015. Print.Zeigler, Jasper. "Skydiving:Taking the Plunge." TheSpringdale Mirror. 24 June2012. Web. 1 Mar. 2015. What President Was Last Impeached? help please!!From the following images shown, classify the interactions that occur and say between which bodies, according to the following criteria:a) Contact forcesb) Non-contact forces por favor, me urge hacerla need help asap! The graphs below have the same shape. what is the equation of the red graph?no links Find the sale price of an $18 item after a 50% discount.