point a is at (-7 5) and point c is at (5 -1). find the coordinates of point b on line ab such that ab is 5 times as long as bc

Answers

Answer 1

Step-by-step explanation:

Let the coordinates of point b be (x,y).

Given the coordinates of a (-7,5) and c(5,-1)

Now according to question

ab = 5bc

using distance formula

[tex]\sqrt{(x+7)^2+(y-5)^2} =5\sqrt{(5-x)^2+(-1-y)^2}[/tex]

Solving we can get

[tex]x=-\frac{-11+\sqrt{-4y^2-10y+25}}{2},\:x=\frac{\sqrt{-4y^2-10y+25}+11}{2}[/tex]'

However, we do need either x or y coordinate of point b to find the other.


Related Questions

Suppose Xinwei want to put a fence around a rectangular field, where the width (w) is three times the length (l). Give an expression for the perimeter of the field in terms of its length (l).

Answers

Answer:

P = 8 l

Step-by-step explanation:

Let's consider a rectangular field with dimensions:

width (w)length (l)

We know that the width (w) is three times the length (l), that is,

w = 3 l   [1]

We can calculate the perimeter (P) of a rectangle using the following expression.

P = 2 l + 2 w   [2]

If we replace [1] in [2], we get,

P = 2 l + 2 (3 l)

P = 2 l + 6 l

P = 8 l

Which expression is equivalent to 4(2x + 5) ? Replace the x with a 2

Answers

Answer:

8x+20

36

Step-by-step explanation:

4(2x) + 4(5)

= 8x +20

Hence,

Substituting 2 into 8x+20:

8(2)+20

= 36

Feel free to mark it as brainliest :D

8x+20, i'm guessing. i think i'm right too

Each time a component is tested the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a success occurs on three consecutive trials. Let Y denote the number of trials necessary to achieve this. List all outcomes corresponding to the five smallest possile values of Y, and state which Y value is associated with each one.
Y Outcomes
3
4
5
6
7

Answers

Answer:

[tex](a)\ \{SSS\}[/tex]

[tex](b)\ \{FSSS\}[/tex]

[tex](c)\ \{FFSSS, SFSSS\}[/tex]

[tex](d)\ \{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]

[tex](e)\ \{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]

Step-by-step explanation:

Given

[tex]S\to[/tex] Success

[tex]F\to[/tex] Failure

[tex]n \to 3[/tex] Consecutive trials until S happens

[tex]Y \to[/tex] Number of trials

For every possible outcome, the last 3 must be SSS. So, we have:

[tex](a)\ Y = 3[/tex]

The only possibility here is: [tex]\{SSS\}[/tex]

because 3 trials implies that all outcomes must be S.

[tex](b)\ Y = 4[/tex]

The only possibility here is:

[tex]\{FSSS\}[/tex]

because 4 trials implies that the first outcome must be F

 

[tex](c)\ Y = 5[/tex]

The possibilities are:

[tex]\{FFSSS, SFSSS\}[/tex]

because 5 trials implies that the first and the second outcomes must be FS or SF.

[tex](d)\ Y = 6[/tex]

The possibilities are:

[tex]\{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]

because 6 trials implies that the first three outcomes are: FFF, SSF and SFF

[tex](e)\ Y = 7[/tex]

The possibilities are:

[tex]\{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]

because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))

Solve for the value of x. Round to the nearest tenth.

Answers

the answer would be 19.3

What is the area of the figure? Round to the nearest tenth.
45 m
3 m
3 m
7.5 m

A 36.0 m2
B. 22.5 m2
C. 45.0 m2

D. 72.0 m2

Answers

Answer:

letter A

Step-by-step explanation:

This is made up of 4 triangular segments. If we assume the cross section is perpendicular then we can use the 1/2b*h formula for each piece with the given values. So we have 2 triangles with the formula: 1/2(3)*(4.5)=6.75 * 2 triangles = 13.5.

Then for the bottom 2 you have 1/2(3)*7.5=11.25, times 2 triangles =22.5

So, 13.5+22.5=36, or letter A

geometry acellus i need help pretty please

Answers

Answer:

change your pfp and ill give u the answer

Step-by-step explanation:

Answer:

x = 17.5 degrees

Step-by-step explanation:

So with this, it gives you the angle measure and the terms for that angle measure for Angle EDC. Since these are equal, set them equal to each other.

2x+10 = 45

Move over the 10

2x = 35

Divide by 2

x = 17.5 degrees

That's all.


Three hens can lay three eggs in three minutes? How many eggs do the hens lay in 2 hours assuming consistent
output?

Answers

assuming 2hrs is 120mins and 120mins is 7200sec divide 7200 by 3 which is 2400

Angle 2 equals 130 find angle 3

Answers

Answer:

180° - 130 = 50°

Step-by-step explanation:

Assuming they are adjacent: 180° - 130 = 150°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A carpet measures 7 meters 3 decimeters in length and 4 meters
decimeters in width. What is its area in square meters?

Answers

Answer:

29.2 metres squared

Step-by-step explanation:

because 3 decimetre equal 1 metre, 7 metres and 3 decimetre equal 7.3 metres.

now we just use the area formula to solve.

Area = Length × Width = 7.3 × 4 = 29.2 metres squared

6. A store orders 8 boxes of notebooks.
There are 144 notebooks in each box
Use breaking apart to find how many
notebooks the store ordered.

Answers

Answer: 1,152 notebooks

Step-by-step explanation:

You just do 144 x 8. I’m not really sure what they mean when they say use breaking apart method. Maybe break them up into 8 group of 144. Then just add 144 together 8 times instead of multiplying hope this helps. :)

Please help me with simplifying this equation? (-5)^5/ (-5)^-6
Thanks

Answers

I think so that the answer is -48828125

Find the measure of angle 1
51
52
53
50°
R
54
55
P Р
56°

Answers

Answer:

53°

Step-by-step explanation:

angle 1 = ½×( 50+56) = ½×106 = 53°

Please help and hurry!

Answers

Answer:

Step-by-step explanation:

radius=diameter/2

=9/2

=4.5

Answer:

4.5

Step-by-step explanation:

9= diameter and Radius= diameter divided by 2

9 divided by 2 = 4.5

Need help fast please

Answers

Answer:

28

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 45^2 = 53^2

a^2 +2025=2809

a^2 = 2809-2025

a^2 =784

Take the square root of each side

sqrt(a^2) = sqrt(784)

a =28

Evaluate 4x - y if x = 3 and y = 6

Answers

Answer:

The answer is 6

Step-by-step explanation:

4 (3) - 6

12 - 6

= 6.

hope this helps! feel free to clarify

What is the surface area of the square pyramid ?
Sorry question is only 8. Ok

Answers

Answer:

Hello! answer: 175 cm2

Step-by-step explanation:

9 × 7 = 63 63 ÷ 2 = 31.5 31.5 × 4 = 126

7 × 7 = 49 126 + 49 = 175 therefore the area is 175 Hope that helps! And I believe the unuts would be cm2 but don't quote me on it

PLEASEEEE HELPPPP MEEEEE

Answers

It’s B
Because you multiply the small triangles by 3





This is B.12ft
……………………

Which equation is a linear function?
Please answer within 5 minutes

Answers

Answer:

y= x/2-5

Step-by-step explanation:

Answer:

y=x²+7

Step-by-step explanation:

I'm pretty sure this is the answer


I GIVE BRAINLIEST!!!
Margie needs to borrow $9,000 from a local bank. The loan has a 8.5% interest rate for 4 years. What will Margie's monthly payment be?

Answers

Answer: I'm sorry I don't know but il try and calculate the answer for you

Step-by-step explanation:

which sentence is true iready math

Answers

Could you please use a picture?
I think you forgot to upload a pic?

Estimate:
89 364 What’s the answer

Answers

Answer:

A. 4

Step-by-step explanation:

364/89 = 4.089

4.089 estimated to 4

the answer would be

A) 4

If the discriminant is a positive number, the quadratic equation has 2 real solutions?
A.False
B. True

Answers

Answer: B

Step-by-step explanation:

Good Luck!

it is B, true. it has 2 real solutions :)

What is the area of the base of the cone below? 12ft v=90ft^3​

Answers

Answer: C 22.5 ft2!

Step-by-step explanation:

i took the test, have a great day:) <3

Answer:

right

Step-by-step explanation:


Translate into equations, but do not solve:
a The sum of two consecutive odd integers is 52? ​

Answers

Answer:

X + (X + 2) = 52

Step-by-step explanation:

Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:

X + (X + 2) = 52

2X + 2 = 52

X = (52 - 2) / 2

X = 50/2

X = 25

X + 2 =?

25 + 2 = 27

Therefore, the consecutive odd integers are 25 and 27.

What are the following of this function y = 4sin (2( x - [tex]\frac{3\pi }{4}[/tex] )) :
amplitude
minimum
maximum
period
phase shift
midline equation

Answers

Answer:

See below...

Step-by-step explanation:

For a function whose formula is in this pattern:

[tex]y=A\sin\left(B(x-C)\right)[/tex]

Amplitude: [tex]|A|[/tex]

Period: [tex]\frac{2\pi}{B}[/tex]

Phase Shift:  C

In this question, [tex]A=4,\,B=2,\,C=\frac{3\pi}{4}[/tex]

Amplitude: 4

Period: [tex]\frac{2\pi}{2}=\pi[/tex]

Phase Shift: [tex]\frac{3\pi}{4}[/tex]

There is no vertical shift, so the midline is the x-axis whose equation is y = 0.

Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.

The graph is attached.

42-(32+4)+7
Evaluate the following expression

Answers

Answer:

13

Step-by-step explanation:

42 - (32 + 4) + 7 =

42 - 36 + 7 =

13

Answer:

15.

Step-by-step explanation:

Since 32 + 4 are in parenthesis, you'd do that first. 32 plus 4 equals 36, which subtracted from 42 is equal to 8. 8 plus 7 is 15. Therefore, your answer is 15.

I hope this helped, have a nice day.

If two coplanar lines are cut by a transversal so that corresponding angles are *blank*
congruent, then the lines are
(parallel/perpendicular/skew).

Answers

Answer:

parallel

Step-by-step explanation:

Answer:   parallel

If two coplanar lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel

========================================================

Explanation:

This is due to the converse of the corresponding angles theorem.

Ignoring the "converse" part for now, the corresponding angles theorem says that if two lines are parallel, then the corresponding angles are congruent.

The converse swaps the order. The converse says that if two corresponding angles are congruent, then the lines are parallel.

Corresponding angles are the angles that are in the same configuration of the four-angle set up. For instance, both angles could be in the upper right corner for each X shape.

Check out the image below to see an example of what I mean.

If h(x) = 6 – X, what is the value of (hon (10)? O 4 -2 10 If p(x) = 2x2 - 4x and q(x) = x - 3, what is (pºq)(x)? O 2x2 - 4x + 12 O 2x2 – 16x + 18 O 2x2 – 16x + 30 O 2x2 – 16x + 15

Answers

2(x2-6x+9)-4(x-3) .... Report. 10/05/20 ... Since p(x) = 2x2 - 4x, we get: 4 - 4(x-3) = 4 - 4x + 12 = -8 - 4x (assuming 2x2 ... 4x. Note ** if in the original equation "2x2" means "2 times x to the power of 2" ... No packages or subscriptions, pay only for the time you need.2 answers Top answer:

p(x) = 2x2 – 4x and q(x) = x – 3, (p•q)(x).

The value of h(10) if h(x) = 6 – X and (pºq)(x) are -4 and 2x² - 16x + 18 respectively

How to solve equation

h(x) = 6 – x

h(10) = 6 - 10

= -4

If

p(x) = 2x² - 4x

q(x) = x - 3

(pºq)(x)

= (2x² - 4x) (x - 3) × 4

= 2x² - 16x + 18

Learn more about equation:

https://brainly.com/question/2972832

Fatima has 1/2 gallon of milk. She wants to pour all the milk into 6 glasses. What fraction of a gallon should she pour into each glass?

Answers

Answer:

4/5

Step-by-step explanation:

1/2 ÷6=4/5

The parallelogram shown below has an area of 54 units squared

Answers

Answer:

the height is 6 units

Step-by-step explanation:

Given that

The area of the parallelogram is 54 units squared

The base is 9 units

We need to find out the height

As we know that

The area of the parallelogram = Base × height

54 =  9 × height

So, the height is

= 54 ÷ 9

= 6 units

Hence, the height is 6 units

Answer:

You can only find the height if you know the length.

Step-by-step explanation:

Have a good day.

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