4 Three collinear points on the coordinate plane are R(x, y), S(x + 8h, y + 8k), and
P(+ + 6h,y + 6K)
RP
Part A: Determine the value of
SP
RP
Part B: Determine the value of



Please show the step you took to find the answer

Answers

Answer 1

Answer:

RP/SP =3 , RP/RS = 3/4

Step-by-step explanation:

Here is the complete question

Three colinear points on the coordinate plane are R(x,y) S(x+8h, y+8k) and P(x+6h,y+6k) Determine value of RP/SP and RP/RS?

Solution

We first find the length of RS, SP and RP as follows

RS = S(x+8h, y+8k)  - R(x,y)

= √[((x + 8h) - x)² + ((y + 8k) - y)²]

= √[x - x + 8h)² + (y - y + 8k)²]

= √[(8h)² + (8k)²] = 8√(h² + k²)

SP = P(x + 6h,y + 6k) - S(x+8h, y+8k)  

= √[((x + 6h) - (x + 8h))² + ((y + 6h) - (y + 8k))²]

= √[x - x + 6h - 8h)² + (y - y + 6k - 8k)²]

= √[(-2h)² + (-2k)²] = 2√(h² + k²)

RP = P(x+6h, y+6k)  - R(x,y)

= √[((x + 6h) - x)² + ((y + 6k) - y)²]

= √[x - x + 6h)² + (y - y + 6k)²]

= √[(6h)² + (6k)²] = 6√(h² + k²)

So, RP/SP = 6√(h² + k²)/2√(h² + k²)

= 6/2

= 3

RP/RS = 6√(h² + k²)/8√(h² + k²)

= 6/8

= 3/4


Related Questions

Which of the following is an irrational number?
1. 1,483,292. 2. 14/17. 3. 0.100100010000... 4. 0

Answers

Answer:

The correct option is;

0.100100010000...

Step-by-step explanation:

An irrational number in mathematics are the subset of real numbers that are not rational numbers such as √2, π, e. As such it is not possible to express an irrational number as a ratio of two integers, or expressed in the form of a simple fraction.

The decimal portion of the expression of an irrational number are non periodic and they do not terminate. Transcendental, which are non algebraic, numbers are all irrational numbers

In the question, the number 0.100100010000... has non terminating non recurring decimals and is therefore an irrational number.

Help me in this problem.

Answers

Well it’s not the first one or the last one

Find the value of x in this equation.
1/6 (6x-5) - x = 1/3 - 2(x + 1)​

Answers

Answer: x = -5/12

Explanation:

1/6(6x-5) - x = 1/3 - 2(x + 1)
(6x - 5)/6 - 6x/6 = 2/6 - 6(2x + 2)/6
6x - 5 - 6x = 2 - 12x - 12
-5 = -12x - 10
12x = -5
x = -5/12

Therefore, x = -5/12

Help me with this Question Explanation will be appreciated

Answers

First thing you need to realise is that x/y multiplied by something is the same as x multiplied by that something, ALL divided by y

from here we can think of this as 3(2x-1) all over 5 = 1(5x-3) all over 4,

now we can start by expanding the left side, so it will equal 6x-3 all over 5 = 5x-3 all over 4

Now multiplying both sides by 5 to get rid of the divided by 5 on the left hand....
6x-3 = 25x-15 all over 4

We then multiply both sides by 4 to eliminate the divided by 4 on the right hand side....
We get 24x-12=25x-15

Now subtract 25x from both sides....
-1x = -3

Therefore diving both sides by -1 we get x=3

Pls help me answer all of these but fast because it’s due in a few minutes or else it’s an f!! Pls help I have so stress and I just need help!

Answers

Answer:

ikrrrrr sammeeeeeeeeeee

A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4)? a reflection of the line segment across the x-axis a reflection of the line segment across the y-axis a reflection of the line segment across the line y = x a reflection of the line segment across the line y = –x

Answers

Answer:

reflection in the y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Note the x- coordinate is opposite in sign and the y- coordinate remains unchanged.

Thus

(- 4, - 6 ) → (4, - 6 )

(- 6, 4 ) → (6, 4 )

The endpoints have been reflected in the y- axis

We want to see which reflection we need to use to transform the given segment into the desired one.

The correct answer is:

"a reflection of the line segment across the y-axis"

First, we want to change the segment with endpoints at (-4, -6) and (-6, 4) to a segment with endpoints (4, -6) and (6, 4).

Note that the only thing that changes is the x-value of the endpoints, so we need to apply a reflection that only changes the x-value.

That reflection is a reflection across the y-axis.

For a general point (x, y), a reflection across the y-axis transforms the point to (-x, y).

Then the correct option is:

"a reflection of the line segment across the y-axis"

If you want to learn more, you can read:

https://brainly.com/question/15476267

Juan rode 72 km on his bike in 4 hours. Find the unit rate

Answers

Answer:

18km/h

Step-by-step explanation:

72/4=18

speed = distance/time

Solve for z. –2(z − 9) = 2

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{z = 8}[/tex]

-2(z - 9) = 2

Divide both sides by -2:

-2(z - 9) / (-2) = 2/ (-2)

z - 9 = -1

Add 9 to both sides:

z = -1 + 9

z = 8.

Approximately 220 million tires are discarded in the U.S. each year. These tires present a disposal problem because they take up space, harbor pests, and have been known to catch fire. One tire can generate about 250,000 BTUs (1 BTU = 3 x 10-4 kWh) when it is burned. The average American home consumes about 10,000 kWh of electricity per year. How many tires would be needed to meet the annual electricity demand of ten homes for one year if the production of electricity from tires is 50% efficient?

Answers

Answer:

2667 tires

Step-by-step explanation:

One tire can generate:

250000 BTU's = 250000*3*10⁻⁴ kWh = 75 kWh electricity

Considering efficiency of 50%, one tire can produce:

75/2 = 37.5 kWh

10 homes require electricity, amount of:

10000*10 = 100000 kWh per year

How many tires can cover this demand?

100000/37.5 ≈ 2667 tires

1 point
9.) The Franklin Wildcats football team was competing in the regional
championship game. The offense had the ball at the 50-yard line as they
tried to score to win the game. Their progress during each play was as
follows: gain 7, gain 2, lose 1, gain 4, lose 5, gain 27, gain 4, gain 5, gain 0,
gain 3, lose 2, lose 1, gain 1, gain 2. On what yard line did the Wildcats end? *

Answers

Answer:

96 yards

Step-by-step explanation:

This is basically just a huge addition problem that we can tackle (heh) in our heads.

If we gain yards, then we add.

If we lose yards, then we subtract.

If we started out at 50, the expression is

[tex]50 + 7 + 2 - 1 + 4 - 5 + 27 + 4 + 5 + 0 + 3 - 2 - 1 + 1 + 2[/tex].

We can use the associative property of addition to simplify this. I'm just grouping together things that look easy to do in my head.

[tex]50 + (7 + 2) - 1 + 4 - 5 + (27 + 4) + (5 + 0 + 3) (- 2 - 1) + (1 + 2)\\\\50 + 9 - 1 + 4 - 5 + (31 + 8) (-3 + 3)\\\\(50 + 9) - 1 + 4 - 5 + 39 \\\\59 - 1 + 4 - 5 + 39 \\\\58+4 + (-5+39)\\\\62+34\\\\96[/tex]

Hope this helped!

During a onemonth period, a car company's stock price went from $99.24 to $45.19 per share.
The change in the price of the stock is
dollars.

Answers

$99.24
- 45.19
————-
$ 54.05

The change in price stock is $54.05.

How to calculate change in any quantity?

First: work out the difference (increase or decrease) between the two numbers you are comparing.

Increase or decrease = New Number - Original Number.

initial price= $99.24

final price= $45.19

So, Change in stock = final price- initial price

                                  =$45.19  - $99.24

                                  =-$54.05

Hence, the price decrease in $54.05.

Learn more about this concept here:

https://brainly.com/question/14670088

#SPJ2

Help please!!!! 10 points

Answers

Step-by-step explanation:

This is the answer.... Working shown

what is the value of x if length is 3x-1 and width is x and the perimeter is 84

Answers

Answer:

x = 10.75

Step-by-step explanation:

To find the value of x, we need to know the equation for the perimeter of a rectangle.  This equation is:

P = 2L + 2W

Where P is the perimeter, L is the length, and W is the width.

We are given P = 84, L = 3x -1 , and W = x.  Now we just plug these values in and solve for x.

P = 2L + 2W

84 = 2 ( 3x - 1 ) + 2 ( x )

84 = 6x - 2 + 2x

84 = 8x - 2

86 = 8x

86 / 8 = x

43 / 4 = x

(40 + 3) / 4 = x

10.75 = x

Hence, the value of x = 10.75.

Cheers.

Solve for P if E = 2.50 and r = 2.00 given that E = P4πr2

Answers

Answer:

P = 0.05

Step-by-step explanation:

E = P4πr²

2.50 = P4π(2)²

2.50 = P4π4

2.50 = P(50.265)

P = 0.05

Given that f(x)= 4x-3 and g(x)= 2x-1 over 3 solve for g(f(2))

Answers

Answer:

[tex]g(f(2))=3[/tex]

Step-by-step explanation:

So we have:

[tex]f(x)=4x-3\text{ and } g(x)=\frac{2x-1}{3}[/tex]

And we want to solve for g(f(2)).

First, find f(2):

[tex]f(2)=4(2)-3[/tex]

Multiply:

[tex]f(2)=8-3[/tex]

Subtract:

[tex]f(2)=5[/tex]

Now, substitute this in for g(f(2)):

[tex]g(f(2))=g(5)[/tex]

Substitute this in for g(x):

[tex]g(5)=\frac{2(5)-1}{3}[/tex]

Multiply:

[tex]g(5)=\frac{10-1}{3}[/tex]

Subtract:

[tex]g(5)=\frac{9}{3}[/tex]

Divide:

[tex]g(5)=3[/tex]

Therefore:

[tex]g(f(2))=3[/tex]

Chance knows the length of a football field (including end zones) is 120 yards. The width of the field is 53.33 yards. What is the area of football field rounded appropriately?

Answers

Answer = about 6,400 yards squared

Step-by-step explanation:

how to do this question plz answer me step by step plzz ​

Answers

Answer:

No

Step-by-step explanation:

Diameter= 180cm

Circumference of each table

= πD

= 180π cm

Each table can fit

= 180π ÷70

= 8 guests (nearest whole number)

Since there are 18 tables, total number of guests

= 8(18)

= 144 guests

Since there are only enough tables to sit 144 guests, there are not enough tables to fit 145 guests.

Note that we cannot take the sum of the circumference for 18 tables than divide by 70 to see how many guests can fit because a guest can only be sitted on one table.

If that was done,

Total circumference

= 180π(18)

= 10179 cm (5 s.f.)

Total number of people

= 10179 ÷70

= 145 people (3 s.f.)

This is incorrect.

Need help on this stastic and prob

Answers

Answer:

it is correct they weigh the same

Step-by-step explanation:

A football team gains 2 yards on the first play, loses 5 yards on the second play, loses 3 yards on the third play, and gains 4 yards on the fourth play. What is the teams overall gain or loss for all four plays? Use the visual representation below for assistance. + + FF + oa gain of 14 yards a loss of 14 yards a loss of 2 yards a gain of 2 yards??​

Answers

Answer:

A loss of 2 yards

Step-by-step explanation:

2-5-3+4=-2

solve for x 11 - 13x - 7 - 2x = 7

Answers

Answer:

x =-1/5

Step-by-step explanation:

[tex]11-13x-7-2x=7\\\\\mathrm{Group\:like\:terms}\\-13x-2x+11-7=7\\\\\mathrm{Add\:similar\:elements:}\:-13x-2x=-15x\\-15x+11-7=7\\\\\mathrm{Add/Subtract\:the\:numbers:}\:11-7=4\\-15x+4=7\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\-15x+4-4=7-4\\\\Simplify\\-15x=3\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\frac{-15x}{-15}=\frac{3}{-15}\\\\Simplify\\x=-\frac{1}{5}[/tex]

Step-by-step explanation:

Hey, there!!

Let's solve it simply.

Given,

11 - 13x - 7 - 2x = 7

Simplify the like terms.

11 - 7 - 13x - 2x = 7

4 - 15x = 7.

shifting 4 in right side.

-15x =7-4

-15x = 3

Divide 3 by -15.

[tex]x = \frac{3 }{ - 15} [/tex]

Therefore, x = (-3/15) or (-1/5).

Hope it helps....

To undo subtraction, you
A.add
B.multipy
C.subtract
D.divide

Answers

Answer:

C

Subtract

Step-by-step explanation:

example

6-1=5

5+1=6

I’m stuck and I don’t know what to do someone help please

Answers

For the second question, you’re finding the volume of a cylinder. The formula is V = (pi)(r^2)(h) so we will plug in what we know. Half of a diameter is the radius so 6/2 = 3. It says radius squared so 3^ 2 = 9. We can also see the height is 9 cm so plug that in. For all of these formulas, we must use 3.14 for pi so plug that in also.
V = (3.14)(9)(9)
V = 254. 34 cm cubed

I don’t have time to help with the other questions but I hope this helps you know how to use the cylinder volume formula

Answer:

Step-by-step explanation:

1.

[tex]diameter = 6\:cm\\Radius = \:d/2\: =\: 6/2 = 3\:cm\\Height = 9\:cm\\\\Volume \:of\:a\:cone : \frac{1}{3} \pi r^2 h\\\\V = \frac{1}{3}\times 3.14 \times 3^2 \: \times 9\\\\V = \frac{1}{3} \times 3.14 \times 9 \times 9\\\\V = \frac{254.34}{3} \\\\Volume = 84.78cm^3[/tex]

2.

[tex]diameter =\: 6\:cm\\Radius= d/2 = 6/2 = 3\:cm\\Height = 9\:cm\\Volume = ?\\\\Volume \:of\:a \:cylinder = \pi r^2 h\\\\V = 3.14 \times 3^2 \times 9 \\\\V = 3.14 \times 9\times 9\\\\Volume = 254.34\:cm^3[/tex]

3.

The volume of a cone is   (one third) of the volume of a cylinder which has the same height as the cone and the same base radius as the cone.

So, you need 3 (three) volumes of cone to fill the cylinder.

A shopkeeper earns a profit of 250₹ on every chair and a loss of 175₹ on every table he sells. Find his profit or loss if he sells 12 chairs and 9 tables on a particular day.

Answers

Answer:

the shopkeeper made 1425₹  in profit on a particular day

Step-by-step explanation:

the total profit on 12 chairs:

12*250=3000₹

loss from selling 9 tables: 175*9=1575

total profit-total loss:

3000-1575=1425

the shopkeeper made 1425₹  in profit.

Answer:

1425 profit or 1575 loss

Step-by-step explanation:

250x12=3000 --> for the chairs

175x9=1575 --> for the tables

3000-1575=1425

You could say that he made 1425 profit or 1575 loss

Turn 5 8/25Into a decimal

Answers

Answer: 5.32

Step-by-step explanation:

8/25 as a decimal is 0.32. Add the fraction and whole number and you get 5.32

Answer:

5.32

Step-by-step explanation:

We know that the 5 in [tex]5 \frac{8}{25}[/tex] will just be a 5, so we can leave that be for now.

Since we have [tex]\frac{8}{25}[/tex], we want to turn it into a decimal.

A way of representing decimals is [tex]\frac{x}{100}[/tex], like [tex]\frac{69}{100}=0.69[/tex].

Therefore, we can convert  [tex]\frac{8}{25}[/tex] into hundredths and find the decimal that way.

[tex]\frac{8}{25} = \frac{x}{100}[/tex]

We can cross multiply to find the value of x.

[tex]100\cdot8=800\\\\800\div25=32[/tex]

This means that [tex]\frac{8}{25} = \frac{32}{100}[/tex]. This means the decimal is 0.32.

Adding the 5 to it, we get 5.32.

Hope this helped!

A surveyor is surveying a street. The surveyor is standing at point C looking down the street at no parking sign at point D and a stop sign at point R. Given CD = 6x-8 meters, DR = 4 meters, and point D is between C and R, what is x in meters?

Answers

Answer:

2

Step-by-step explanation:

If point D is between C and R, then the vector CD = DR is true. Given the following parameter CD = 6x-8 meters, DR = 4 meters, to get the value of X we will equate both vector functions as shown;

6x-8 = 4

add 8 to both sides

6x-8+8 = 4+8

6x = 12

divide both sides by 6

6x/6 = 12/6

x = 2

Hence the value of x in metres is 2 metres.

a racecar speeds down the highway at a constant velocity. if it travels 3,500 m in 60 seconds, what is the velocity of the racecar?

Answers

Answer:

175 i think please mark brainliest

Step-by-step explanation:

A CD's sale price is $14. This is a 4% decrease from its original price. What was the original price?

Answers

Answer:

0.56

Step-by-step explanation:

Answer:

$14.56

Step-by-step explanation:

It is 14.56 because:

$14 + 4% = $14.56

So, that is the answer. Hope this helps!

Help me please (No beginners)

Answers

Answer: C

Step-by-step explanation:

The distance between numbers is the difference between them.

5/2 and  4 7/8  

Using these pints the distance will be

5/2 - [tex]4\frac{7}{8}[/tex]   is the same as -5/2 - 4 7/8  

and is also not the same as 5/2 - (-4 7/8)

Answer:

C) None of the above

Step-by-step explanation:

The distance between 5/2 and 4 7/8 is 4 7/8-5/2= 39/8-20/8=19/8=2 3/8

A) |-5/2-4 7/8|=|-20/8-39/8|=|-59/8|=59/8= 7 3/8 SO NO

B) |5/2-(-4 7/8)|=|20/8+39/8|=|59/8|=59/8= 7 3/8 SO NO

C) None of the above = YES

Classify the number..3/8 a whole b natural c rational d integer

Answers

Answer:

It is a rational number

Step-by-step explanation:

3/8 = 0.375

The set of rational numbers is of measure zero on the real line, so it is "small" compared to the irrationals and the continuum.

Any rational number is trivially also an algebraic number.

Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point? –12 –1 5 7

Answers

Answer:

-1

Step-by-step explanation:

She walked down 2 flights, then up 3 flights. This would cause her to be 1 floor above her floor. So, she would have to walk down 1 flight (hence the negative in the -1) and she would be on her floor.

Answer:

-1

Step-by-step explanation:

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