Line segment AC has endpoints A (-1,-3.5) and C (5,-1). Point B is on line segment AC and is located at (0.2,-3). What is the ratio of AB/BC

Answers

Answer 1

The first thing you should do in this case is find the distance between the points.
The distance between two points can be thought of as a line.
To find the length of this line, you can use the distance formula:
d = √ (x2 - x1) ^ 2 + (y2 - y1) ^ 2
We have then:
AC distance:
AC = root ((5 - (-1)) ^ 2 + (-1 - (-3.5)) ^ 2) = 6.5 units
AB distance:
AB = root ((0.2 - (-1)) ^ 2 + (-3 - (-3.5)) ^ 2) = 1.3 units
BC distance:
BC = 6.5-1.3 = 5.2 units

Answer:
The ratio is:
AB / BC = (1.3) / (5.2)

Answer 2

Answer:

AB/BC = (1.3) / (5.2). Hope this helps :)

Step-by-step explanation:

Related Questions

[tex]y = - x + 10 \\ y = x + 2[/tex]

Answers

The two ys must be the same. Equate the two right hand sides.

-x + 10 = x + 2 add x to both sides.
10 = x + x + 2
10 = 2x + 2 Subtract 2 from both sides.
8 = 2x Divide by 2
x = 8/2
x = 4

Now solve for y
y = x + 2
y = 4 + 2
y = 6

Use the other equation to check it.

y = - x + 10
y = -4 + 10
y = 6

Multiple Choice
For questions 1–7, choose the word or phrase that best defines the italicized word.
1. "Only reapers reaping early/In among the bearded barley…" (1 point)
people who toil
people who obey
people who

Answers

The answer is that the meaning of reapers in the sentence is that "people who toil". This is a general name of a person that harvests a crop. They gather or cut those crop from a peace of land.

Answer:

people who toil

Step-by-step explanation:

The above lines have been taken from the poem "The Lady of Shalott" written by Alfred, Lord Tennyson. The poem is about the mysterious Lady of Shalott who lives on the Island of Shalott. People who wanted to see her have never got the opportunity to see her. On the other hand, the people who work in the fields have listened to her singing an eerie song. The song which the lady sings echoes all over the river Camelot.

In this fulcrum, the weights are perfectly balanced. How far must the fulcrum be located from the 60 pound weight if the bar is 24 feet long?

A) 9
B) 15
C) 12

Answers

Answer:

15 feet

Step-by-step explanation:

Given : In this fulcrum, the weights are perfectly balanced.

To Find: How far must the fulcrum be located from the 60 pound weight if the bar is 24 feet long?

Solution:

To make the weights perfectly balanced torque must be equal

[tex]Torque = Force \times d[/tex]

Where [tex]Force = Mass \times Acceleration[/tex]

Let a be the acceleration

d= Distance between the pivot and the acting point.

Let x be the distance from 60 pound weight where fulcrum is located

Since we are given that Length of bar = 24 feet.

So,Distance of fulcrum from 100 pound weight = 24-x

Now torque for 60 pound weight :

[tex]Torque = 60a \times x[/tex]

Now torque for 100 pound weight.

[tex]Torque =100a \times (24-x)[/tex]

Now to maintain the equilibrium i.e. To make the weights perfectly balanced

[tex]60a \times x =100a \times (24-x)[/tex]

[tex]60x = 2400-100x[/tex]

[tex]160x = 2400[/tex]

[tex]x = \frac{2400}{160}[/tex]

[tex]x = 15[/tex]

Hence The fulcrum must be located 15 feet from the 60 pound weight if the bar is 24 feet long.

Answer:

Step-by-step explanation:

Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
these equations must be for pre-algerbra

Answers

A. x + 5=12
7x = 21

B. b - 2/3 = 5/6
1/5m = 20

C. 45 = 3(x + 1)

D. 22.5 = 1.5x

E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.

Answer:

One step equations

3 + x = 5 ___x = 2

Y + 14 = 20____x = 6

Equations with Fractions

4/5q = 32___q = 40

3/4x = 6___x = 8

Equation with decimals

3.2x – 2.7 = 1.2x___x = 1.35

Equation with distributive Property

7x + 3 (x + 1) = 10x + 3

Infinitely Many solutions

Real World Problem

Monica knows that she should spend no more than 1/3 of her income on her rent. She really wants to move into a cool condo downtown and has found a great place where the rent is $2,300 per month. Based on that, how much should Monica earn each month to afford the rent on her cool new place?

Hope This Helps!

You are an accountant doing an audit for a law firm. A paralegal worked for a client for 5 hours per day for 3 days. The client was billed $50 per hour, and the paralegal was paid $30 per hour. After the paralegal’s wages were paid, what was the amount made by the law firm?

Answers

Total hours worked = 5 x 3 = 15 hours

Amount collected = 50 x 15 = $750
Amount paid to the paralegal = 30 x 15 = $450
Amount made by the firm = 750 - 450 = $300

What is the value of n?

Enter your answer in the box.

n =

Answers

The answer is n = 4 I took the test.

Answer:

The value of n is 4.

Step-by-step explanation:

Theorem of intersection of two cords : If two cords AB and CD intersecting at point P, then

[tex]|AP|\times |PB|=|CP|\times |PD|[/tex]

Using the theorem of intersection of two cords, we get

[tex](n-2)\times 16=8\times (n+8)[/tex]

Use distribution property,

[tex]16n+32=8n+64[/tex]

[tex]16n-8n=64-32[/tex]

[tex]8n=32[/tex]

Divide both sides by 8.

[tex]n=\frac{32}{8}[/tex]

[tex]n=4[/tex]

Therefore the value of n is 4.

Calculate the averages for each category for the three-month period. category jan. feb. mar. average wages $2,100.00 $2,300.00 $2,000.00 $ donations $210.00 $230.00 $200.00 $ mortgage $590.50 $590.50 $590.50 $ electricity $101.25 $89.75 $80.00 $ water $20.10 $22.30 $24.55 $ car loan $172.54 $172.54 $172.54 $ food $200.25 $220.70 $205.50 $ insurance $310.50 $0.00 $0.00 $ clothes $0.00 $0.00 $75.00 $ car license fee $0.00 $120.90 $0.00 $ newspaper $0.00 $0.00 $45.00 $ movies $18.00 $0.00 $36.00 $ new car $100.00 $100.00 $100.00 $ gasoline $80.00 $70.00 $75.00 $ car repairs $0.00 $119.00 $0.00 $ miscellaneous $64.50 $59.25 $72.50 $ savings $140.00 $140.00 $140.00 $

Answers

the averages for each category can be calculated by taking the sum of the values and dividing by the number of values .
Jan Feb March
1)
wages    $2,100.00 $2,300.00 $2,000.00
sum of the values = 2100 + 2300 + 2000 = 6400
number of values = 3
average = 6400/3 = $ 2133.33
2)
donations $210.00   $230.00 $200.00
average = (210 + 230 + 200)/3
= $ 213.33
3)
mortgage   $590.50   $590.50 $590.50
average = ( 590.50 + 590.50 + 590.50)/3
= $ 590.50
4)
electricity   $101.25 $89.75   $80.00
average = (101.25 + 89.75 + 80.00)/3
= 271/3
= $ 90.33
5)
water   $20.10 $22.30 $24.55
average = (20.10 + 22.30 + 24.55)/3
= 66.95/3
= $ 22.32
6)
car loan $172.54   $172.54 $172.54
average = (172.54 + 172.54 + 172.54)/3
= $ 172.54
7)
food   $200.25   $220.70 $205.50
average = (200.25 + 220.70 + 205.50)/3
= $ 208.82
8)
insurance $310.50 $0.00   $0.00
average = ( 310.50 + 0.00 + 0.00)/3
= $ 103.50
9)
clothes $0.00    $0.00   $75.00
average = (0.00 + 0.00 + 75.00)/3
= $ 25.00
10)
car license fee $0.00 $120.90   $0.00
average = (0.00 + 120.90 + 0.00)/3
= $ 40.30
11)
newspaper $0.00 $0.00   $45.00
average = (0.00 + 0.00 + 45.00)/3
= $ 15.00
12)movies $18.00    $0.00 $36.00
average = (18 + 0.00 + 36.0)/3
= $ 18.00
13)
new car $100.00 $100.00   $100.00
average = (100 + 100 + 100)/3
= $ 100.00
14)
gasoline $80.00 $70.00 $75.00
average = (80.00 + 70.00 + 75.00)
= $ 75.00
15)
car repairs   $0.00    $119.00   $0.00
average = (0.00 + 119.0 + 0)/3
= $ 39.67
16)
miscellaneous   $64.50 $59.25   $72.50
average = (64.50 + 59.25 + 72.50)/3
= 196.25/3
= $ 65.42
17)
savings $140.00 $140.00   $140.00
average = ( 140 + 140 + 140)/3
= $ 140.00

A city was founded at the beginning of 1990 with a population of 55,000, and since then, the growth in its population has been exponential, increasing at x percent per year. If the city's population at the beginning of 2000 was 108,193, at what percent per year to the nearest percent is the city's population increasing?

Answers

You can solve this analytically to get
.. 55000*(1 +x/100)^10 = 108193
.. (1 +x/100)^10 = 108193/55000
.. 1 +x/100 = (108193/55000)^(1/10)
.. x = 100*((108193/55000)^(1/10) -1) ≈ 7.00

but I find it just as fast to have a graphing calculator do it.

The city's population is increasing 7% per year.

Mrs. Cho has 24 students in her class. Some of her students are also in the play. Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.

Answers

Let's start by calculating how many students does 24% represent.
24% * 24 = 0.24 * 24 = 5.76
We got a decimal number as solution. The reason why exactly 24% students can't be in the play is because this percentage does not represent whole number of students. She can't take 0.76 students

If she wanted 25% students to be in a play it would mean she has to take:
25% * 24 = 0.25 *24 = 6 students

solve - 2 x 3 + 22 - 8 - 2 =

in a exponent 3 + 3 + 3 + 3 + 3

Answers

- 2(3) + 22 - 8 - 2=
-6 + 12 =
6

3 + 3 + 3 + 3 + 3 = 15

3 x 3 x 3 x 3 x 3 = 3^5 (because there are 5 threes multiplied together)

-2x^3 + 22 - 8 - 2 =
-2x^3 + 12

hope this helps

2 x 3 = 6

6 + 22 = 28

28 - 8 = 20

20 - 2 = 18

3 + 3 + 3 + 3 + 3 as a exponent is [tex]3^{5} [/tex]

Because it says 3 5 times!

Hope this helped!

Which transformations are rotations?
Choose all answers that are correct.

Answers

the pic doesn't show totally

I can't really see clearly but the second picture is definitely a transformation and if the first picture is on a graph then that is also a transformation

Please help! Picture included!!!
In the figure below, triangle ABC is similar to triangle PQR.
What is the length of PQ?

A)18
B)4
C)32
D)6

Answers

the answer is c)32 hope this helps

Answer is 18,
24/8 = 3
So
6x 3 = 18

The graph of a linear function has a slope of 5, and it passes through the point (–7, 5). What is the value of the dependent variable when the independent variable is equal to 2?

Answers

Final answer:

To find the value of the dependent variable, we use the point-slope form of the linear equation. Using the given slope of 5 and point (-7, 5), we first find the y-intercept to be 40. We then calculate the dependent variable's value to be 50 when the independent variable is 2.

Explanation:

The student has asked about the value of the dependent variable when the independent variable is 2 for a given linear function that has a slope of 5, and passes through the point (–7, 5). To find this value, one should use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

First, using the given point (–7, 5), we can find the y-intercept by substituting the slope and point into the equation:

y = 5x + b

5 = 5(-7) + b

b = 5 + 35

b = 40

So the equation of the line is y = 5x + 40. Now, to find the value of y when x is 2:

y = 5(2) + 40

y = 10 + 40

y = 50

Therefore, the value of the dependent variable when the independent variable is 2 is 50.

Given the equation 2(3x − 4) = 5x + 6, solve for the variable. Explain each step and justify your process. Charlie solved a similar equation below. Is Charlie's solution correct? Explain why or why not.

Answers

Hi there!

In order to solve this problem, we need to simplify.

2 * 3x - 2 * 4 = 5x + 6
6x - 8 = 5x + 6
-8 = -x + 6
8 = x - 6
14 = x

x = 14

Charlie's answer was not stated, so I don't know whether he was correct or not ;)

Hope this helps!

Select the scenarios that correctly represent the given graph.

Answers

Answers: The correct choices are the first two choice.

The graph shown is an exponential graph. From the first point to the second, it increase from 100 to 150. This is a 50% increase. This pattern continues throughout the chart.

The first two choices give an increase of 50%. Or 1.5 times larger.

Answer:

The correct options are 1 and 2.

Step-by-step explanation:

From the given graph it is clear that it is a graph of an exponential function and the graph passes through the points (0,100) and (1,150).

The general form of an exponential function is

[tex]y=ab^x[/tex] .... (1)

Where, a is the initial value and b is growth rate.

The initial value is 100 because the y-intercept of the graph is 100.

The graph passes through (1,150). Put y=150, a=100 and x=1 in the above formula to find the value of b.

[tex]150=100b^1[/tex]

Divide both the sides by 100.

[tex]1.5=b[/tex]

The value of b is 1.5.

Substitute a=100 and b=1.5 in equation (1).

[tex]y=100(1.5)^x[/tex]

It means the value is 1.5 times larger in every unit of time.

It can be written as

[tex]y=100(1+0.5)^x[/tex]

It means the initial value increased by 50% per unit of time.

So, the required scenarios are

1. The amount of money in a bank account increased by 505 per year.

2. The amount of a substance is one and a half times larger after every minute.

Therefore the correct options are 1 and 2.

What's the recursive formula?? help!

Answers

The answer would be A. The a1 would always be the first number, so -4. The one below it would be the function.

Which out of these 2 "graphs" represent a proportional relationship? PLEASE HELP

x f(x)
–1 –2
0 0
1 2
4 8

x f(x)
–2 2
0 4
2 6
3 7

Answers

the bottom one since as x increases so does y. the top function doesn't since it's a quadratic. meaning it decreases and hen increases

I believe the second option, (-2.2)-(3,7), is proportional because it increases up one over one everytime if you draw it.

How do I find x in this triangle?

Answers

Since the total degree of a triangle is 180, subtract 44 from 180 = 136. Divide it by two, and you get 68. I believe this is correct but don't take my word for it. Good luck!

Logan can paint a room in 12 hours. Marcus can paint the same room in 16 hours. How long does it take for both Logan and Marcus to paint the room if they are working together?

Answers

Hello,

The answer should be "4".

Reason:

Since Logan takes 12 hours and Marcus takes 16 i just subtract 16 and 12.

16-14=4

=4 hours

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Solve for x 16 = -2 -1

Answers

16x= -2 -1
16x= -3
divide both sides of the equation by 16
x= -3/16

Alternative form= -0.1875

A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall. Which of the following measures correspond to the length to the laddder? Round to the nearest hundredth

Answers

20.40 [tex] ft^{2} [/tex]

When this situation is drawn out, it forms a right triangle (as shown in the attached image). The sides that are given are the two legs of the triangle. The side that is missing is the hypotenuse. The missing side can be found using the pythagorean theorem: [tex] a^{2} + b^{2} = c^{2} [/tex]

A = 20
B= 4
C = ?

This process is shown in the attached image. The length of the missing side (ladder) rounded to the nearest hundredth is 20.40[tex] ft^{2} [/tex]

Answer:

20.40

Step-by-step explanation:

Test Yourself

At the Roadside Restaurant, each milkshake comes with 2 straws.

Which equation shows the number of straws the restaurant will use if they serve m milkshakes?

Use t to represent the total number of straws used and m to represent the number of milkshakes served.

A.
t = 2m

B.
t = 2 + m

C.
t = 2 – m

D.
t =

Answers

The formula is A, t=2m. For example, let's say Mickey Mouse and Donald Duck go to the Roadside Restaurant and order three milkshakes, they would have six straws. You're able to find the number of straws by multiplying the number of milkshakes (m) by two. Since for every milkshake, you get two straws. In conclusion, yes, the answer is option A.

If you need more help, let me know!

Hope this helps! :-)

A small company has 20,000 shares. Anastasia owns 400 of these shares. The company decides to split its shares. What is Anastasia's ownership percentage after the split?

Answers

the answer is the B one or 2%.

Answer:

Step-by-step explanation:

A P E X

The temperature of a cup of coffee t minutes after it has been poured is described by the function
C(t) = 20 + 60(0.95)^t .
a. How many minutes does it take for the coffee to cool to a temperature of d degrees?
b. About how fast is the temperature dropping when t = 1?

Answers

a) You want to find t such that
.. C(t) = d
.. d = 20 +60*0.95^t
.. (d -20)/60 = 0.95^t
.. log((d -20)/60) = t*log(0.95)
.. t = log((d -20)/60)/log(0.95) . . . . . . time to cool to d degrees (d > 20)

b) C'(t) = 60*0.95^t*ln(0.95)
.. C'(1) = 60*0.95*ln(0.95) ≈ -2.924 °C/min

^ please help me____________

Answers

All you have to do is take half of 6x, square it and add it to both sides. It will look like this. x^2+6x+9=16+9. Now all you do is simplify to get (x+3)^2=25.

x^2 + 6x - 16 =0
The two numbers that satisfy the condition quadratics have is
1. They must add to 6
2, They must multiply to - 16

All quadratics have to satisfy these two things.
The only numbers that will are 8 and - 2
So the factors are
(x - 8)(x + 2) = 0
x - 8 = 0
x = 8

and

x + 2 = 0
x = - 2

what does a^2+b^2=C^2 mean

Answers

A squared plus B squared equals c squared refers to a kind of math formula where you take 2 given points on a shape and try to find the third point.

The equation a² + b² = c² represents the Pythagorean theorem, which describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. For example, in a triangle with legs of 3 and 4 units, the hypotenuse would be 5 units.

The equation a² + b² = c² represents the Pythagorean theorem in mathematics. This theorem is used to describe the relationship between the lengths of the sides of a right triangle.

Pythagorean Theorem

In a right triangle:

a and b are the lengths of the legs (the two sides that form the right angle).

c is the length of the hypotenuse (the side opposite the right angle).

The theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides:

a² + b² = c²

This can also be expressed as c = √(a² + b²).

For example, if one leg of the triangle is 3 units and the other leg is 4 units, you can find the hypotenuse as follows:

3² + 4² = c²9 + 16 = 25c = √25 = 5

Question:

what does a^2+b^2=C^2 formula mean ?

PLEASE HELP !!! 15 POINTS !! PLUS BRAINLIEST !!
The graph shows the shape of an arched bridge cable. What does the y-intercept represent?

The total length of the cable is 15 m.
The left end of the cable is 15 m above the roadway.
The minimum distance between the cable and roadway is 15 m.
The total length of the road is 15 m.

Answers

Answer:

The left end of the cable is 15 m above the roadway

Step-by-step explanation:

Let

x----> the horizontal distance from left end of cable (m)

y----> the height above roadway (m)

we know that

The y-intercept is the value of y when the value of x is equal to zero

In this problem

The y-intercept is the height above roadway (m) when the distance from end of cable is equal to zero

The y-intercept is the point (0,15)

The left end of the cable is 15 m above the roadway

The left end of the cable is 15 m above the roadway]

Step-by-step explanation:

Carl borroowed $2,500 for six months at an annual interest rate
of 11%. How much must he repay at the end of six months?
a. $275
b. $2,637.50
c. $87.50
d. $2,762.50

Answers

I think your answer is A.
I hope I helped!

Factor completely 3x(x + 2) + 4(x + 2). (1 point)

(x + 2)(7x)
Prime
(x + 2)(3x + 4)
(x + 2)(12x)

Answers

ANSWER

[tex](x + 2)(3x + 4)[/tex]

EXPLANATION

The given expression is

[tex]3x(x + 2) + 4(x + 2)[/tex]

We can see that (x+2) is the greatest common factor.

We factor to obtain;

[tex](x + 2)( 3x + 4)[/tex]

The correct choice is C.

Answer:

(x + 2) (3x + 4)

Step-by-step explanation:

I got it correct on my test

Sean Wrona is the fastest typist in the world and can type an average of about 500 words in three minutes. What is Sean’s average typing speed in words per minute, WPM, to the nearest whole number? *** Answer with number only***'

Answers

Sean's average typing speed is 167 words per minute.

Other Questions