What is the ratio AC: CB?​

What Is The Ratio AC: CB?

Answers

Answer 1

Answer:

D. 1 : 2

Step-by-step explanation:

Given:

A(-6, -2),

B(6, 7),

C(-2, 1)

Required:

Ratio of AC : CB

SOLUTION:

Find AC:

[tex] AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] A(-6, -2) = (x_1, y_1) [/tex]

[tex] C(-2, 1) = (x_2, y_2) [/tex]

[tex] AC = \sqrt{(-2 -(-6))^2 + (1 -(-2))^2} [/tex]

[tex] AC = \sqrt{(4)^2 + (3)^2} [/tex]

[tex] AC = \sqrt{16 + 9} = \sqrt{25} [/tex]

[tex] AC = 5 [/tex]

Find CB:

[tex] CB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] C(-2, 1) = (x_1, y_1) [/tex]

[tex] B(6, 7) = (x_2, y_2) [/tex]

[tex] CB = \sqrt{(6 -(-2))^2 + (7 - 1)^2} [/tex]

[tex] CB = \sqrt{(8)^2 + (6)^2} [/tex]

[tex] CB = \sqrt{64 + 36} = \sqrt{100} [/tex]

[tex] CB = 10 [/tex]

Find AC : CB

AC : CB = 5 : 10 = 1 : 2


Related Questions

what is the gradient and vertical axis intercept of the linear equation y = 5x + 30

Answers

Gradient = Slope = coefficient of x

Thus ;

Gradient = Slope = 5

_________________________________

Vertical axis = y -axis

To find the y-intercept of the equation we must put zero instead of x .

Let's do it.....

[tex]y = 5x + 30[/tex]

[tex]y = 5(0) + 30[/tex]

[tex]y = 30[/tex]

So the y-intercept is 30 .

_________________________________

And we're done.....♥️♥️♥️♥️♥️

which expression would be easier to simplify if you used the associative property to change the grouping?

A. 6+[4/9+(-2/9)]
B. [(-0.2)+(-0.6)]+1.7
C. (2+5/2)+(-1/2)
D. (60+40)+(-27)

Answers

Answer:

It's D.

Step-by-step explanation:

Hope this helped. Have a wonderful day! Adios

Plz help.. I asked this question on English, but no one answered.
Thoreau uses the following words to present his theories about simple, principled living. To practice using these words, write the letter of the word that is closest in meaning next to each numbered term.
WORD LIST:
A. abject D. impetuous G. pervade
B. congenial E. misgiving H. transgress
C. deliberately F. perturbation

1. err-- 2. wretched-- 3. impulsive-- 4. doubt--
5. disturbance-- 6. friendly-- 7. thoughtfully-- 8. permeate--

Answers

Answer:

Step-by-step explanation:

A. abject - 2. wretched

B. congenial - 6. friendly

C. deliberately - 7. thoughtfully

D. impetuous - 3. impulsive

E. misgiving - 4. doubt

F. perturbation - 5. disturbance

G. pervade - 8. permeate

H. transgress - 1. err

Hope this helps :)

Answer:

Step-by-step explanation:

A. abject - 2. wretched

B. congenial - 6. friendly

C. deliberately - 7. thoughtfully

D. impetuous - 3. impulsive

E. misgiving - 4. doubt

F. perturbation - 5. disturbance

G. pervade - 8. permeate

H. transgress - 1. err

Hope this helps :)

Hannah wants to buy a $540 camera. She can save $40 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $60 that she owes him. For how many weeks will Hannah need to save before she can pay back her brother and buy the camera?

Answers

Answer:

w = 12

Step-by-step explanation:

Create formula:

540 = 40w - 60 where 540 is the cost of the camera, 40 is the amount saved, w is the number of weeks, 60 is the amount owed

Solve for w

540 = 40w - 60: subtract 60

480 = 40w: divide by 40

w = 12

Last week, Ms. Davey ate 50 hot dogs in 12 minutes! At this rate, how many hot dogs could Ms. Davey eat in an hour?

Answers

Answer:

250

Step-by-step explanation:

50 hot dogs per 12 minutes

60 minutes per 1 hour

60 minutes divided by 12 minutes = 5

50*5 = 250

PLSS HEEELLLPPP JESHJDUSUSJSJ

Answers

The answer would be c, multiply them all by 12

4.
Clare made an error when solving – 4x + 3 < 23.
Describe the error that she made.
- 4x + 3 =23
- 4x < 20

Answers

Step-by-step explanation:

-4x + 3 < 23

-4x < 20

x > -5

hmm,I don't think we need to put equal sign instead of (<) , for when we started calculating.

we can just keep the question as it is and calculate.

The error Clare made in solving the inequality -4x + 3 < 23 is in the last step. The correct solution should be x > -5, not x < -5.

When dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality symbol should be flipped. In this case, since we are dividing by -4, which is negative, the inequality should be reversed.

The correct steps to solve the inequality are as follows:

-4x + 3 < 23

Subtract 3 from both sides:

-4x < 20

Divide both sides by -4 (remembering to flip the inequality symbol):

x > -5

Therefore, the correct solution is x > -5, indicating that x is greater than -5, not less than -5 as Clare mistakenly wrote.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ6

Clare made an error when solving -4x + 3 < 23

-4x + 3 < 23

-4x < 20

x < - 5

Describe the error she made

Plz answer fast I am timed

Answers

Hello.

Ken had 6.57 yards of tape, and then used 0.5 yards of the tape. Subtract 0.5 from 6.57.

6.57 - 0.5 = 6.07

He has 6.07 of the tape left.

The sets of numbers 3, 4, 5, and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples!

Answers

Answer:

Pythagorean Theorom: a^2+b^2=c^2

Take the largest number of each as C (hypotenuse)

3,4,5

(3)^2+(4)^2= (5)^2

25=25

Therefore it is a Pythagorean Triple.

8,15,17

(8)^2+(15)^2=(17)^2

289=289

Therefore it is a Pythagorean Triple.

Choose the equation that could be used to find three consecutive integers whose sum is 36.

a) n + (n + 2) + (n + 4) = 36
b) n + (n + 1) + (n + 3) = 36
c) n + (n + 1) + (n + 2) = 36
d) n + (n − 1) + (n − 3) = 36

Answers

Answer: C

Explanation:

n + (n+1) + (n + 2) = 36
n + n + 1 + n + 2 = 36
3n + 3 = 36
3n = 36 - 3
3n = 33
n = 11

Plug n value in the equation:

11 + (11 + 1) + (11 + 2) = 36
11 + 12 + 13 = 36
36 = 36

And 11, 12, 13 are consecutive integers that add up to 36

Select the correct answers.
A pair of parallel lines is cut by another pair of parallel lines as shown in the figure. Which angles are congruent to angle K?
R
D
N
А
P
E
M
H
F
G
K
O A angles P, Q, and R
OB. angles M, E, and
OC angles G, A, and B
OD. angles D, E, and
E angles M, N, and P

Answers

Answer:it is c

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Need Help! 50 Points

Answers

Answer:

Step-by-step explanation:

you have to solve for x i think

Answer: SOLVE FOR X !

Step-by-step explanation:

the area of a circle is 144 π cm2 what is the diameter of the circle

Answers

Step-by-step explanation:

Area = pi × r²

144 pi cm² = pi × r²

144 pi ÷ pi = r 2

root 144 = r

12 cm = r

diameter = 2r = 2(12) = 24 cm

Every 14 days, Debbie’s dog eats 415 pounds of dog food. If Debbie’s dog eats the same amount of food each day, how many pounds does her dog eat per day?

Answers

Answer:

i thinks its 29

Step-by-step explanation:

divide 415 by 14

Answer:

The answer is 7/1 simplified

Step-by-step explanation:

Label the following numbers as rational or irrational

Answers

C. Is Irrational number
B. Is rational number
D. Is Irrational number
E. None
A. Is a rational number.

That’s All I know
Hope it helps :))
Have a nice day

Answers:

a) rationalb) rationalc) rationald) irrationale) rational

Everything is rational but choice D

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

Explanation:

A rational number is anything in the form p/q where p and q are integers. The value of q cannot be zero.

So that's why -4/11 is rational. Here we have p = -4 and q = 11.

Any terminating decimal is rational. For choice A, we have 3.14 = 314/100

Choice C is also rational because [tex]\sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}[/tex]

Choice E is rational since 6 = 6/1.

In short, choices A, B, C, and E are rational.

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

The only irrational answer is d) 2pi

pi is irrational because we cannot write it as a fraction of two integers. Any number in the form n*pi, where n is any integer, is also irrational.

Help
i need help
thanks

Answers

D:23 because 23 minus 5 equals 18

Answer:

D

Step-by-step explanation:

23-5=18

Help!! Willmark brainliest!Can you guys please answer these 2 questions???

Answers

Answer:

1. A, 2 meters per second

2. F, 15

I need help with biconditinal statements in geometry​

Answers

[tex]\huge\underline\mathcal\pink{₳₦₴₩ɆⱤ:-}[/tex]

Biconditional statements do not use the key words 'if' and 'then.' Biconditional statements are true statements that combine the hypothesis and the conclusion with the key words 'if and only if.'

For example, the statement will take this form: (hypothesis) if and only if (conclusion). We could also write it this way: (conclusion) if and only if (hypothesis). If you figured out that both the conditional and converse statements have to be true for a biconditional statement to exist in geometry, you are correct. It's like a reversible jacket; you can wear it on both sides.

Let's rewrite our last example:

Conditional statement: If a polygon has three sides, then it is a triangle.

Converse statement: If a polygon is a triangle, then it has three sides.

Since both are statements are true, we can go ahead and make our biconditional statements:

A polygon is a triangle 'if and only if' it has three sides.

A polygon has three sides 'if and only if' it is a triangle.

Since we can write two biconditional statements, we could also define them as compound statements, since both the conditional and the converse statements have to be true. Let's practice some more.

Follow me❤

Identify the constant of proportionality from the graph. PLEASE HELP AND HURRY!!












Answers

Answer: It’s d. he’s right just to confirm :)

Step-by-step explanation:

Each month, Arnold receives $1,050 for working part-time at his uncle's camera store.
For each camera that he sells, he earns a $125 bonus. Which equation can be used to
find Arnold's total monthly paycheck, P(x), based on the number of cameras that he
sells, x?

Answers

X = 1,050 / 125 this what i think it would be

HELPPP!!!!
8. Stanley is celebrating his birthday with a 6.82 pound cake. Each piece of cake weighs 0.22 pounds. Into
how many pieces is the cake cut? (5 points)

Answers

Answer:

The cake is cut into 31 pieces.

Step-by-step explanation:

Simple explanation:

6.82= 0.22x

Divide by 0.22 on each side and you get 31 :)

Answer: .22 divided by 6.82 is .32

(Sorry if I got it wrong)

Step-by-step explanation:

Oliver's Flavored Popcorn comes in cylindrical tins divided into three equal sections of caramel, cheese, and buttered flavors. If the tin is 10 inches in diameter and 15 inches tall, what is the volume to the nearest tenth of only the cheese popcorn?

Answers

Answer:

The volume of only the cheese popcorn is 392.5 cubic inches.

Step-by-step explanation:

To determine the volume of only the cheese popcorn,

First, we will determine the volume of the cylindrical tin

The volume of a cylinder is given by

V = πr²h

Where V is the volume of the cylinder

π is a constant, (Take π = 3.14)

r is the radius of the cylinder

and h is the height of the cylinder

From the question, the tin is 10 inches in diameter and 15 inches tall.

Diameter = 10 inches, therefore, we can find radius

Radius = Diameter/2 = 10/2 = 5 inches

r = 5 inches

h = 15 inches

Now, putting the values into the equation, we get

V = 3.14 × 5² × 15

V = 1177.5 cubic inches

This is the volume of the cylindrical tin.

Since the cylindrical tin is divided into three equal sections of caramel, cheese, and buttered flavors, then the volume of only the cheese popcorn will be one-third of the total volume of the cylindrical tin.

∴ The volume of only the cheese popcorn = 1/3 × 1177.5 = 392.5 cubic inches

Hence, the volume of only the cheese popcorn is 392.5 cubic inches.

quick and simpler please im practicing this for class​

Answers

Answer:

a=9/100   b= 7/20

Step-by-step explanation:

For a all you do is take the 9 out of the 100 in 1.

For b, all you do is take the 35/100, and then simplify it, so in this case it is 7/10 if you divide both the numerator and denominator by 5.

So a = 9/100 and b = 7/20

Sarah bought a 55-yard bolt of ribbon. If she wants to cut
pieces that are 13-yard long, what is the maximum number of
ribbons she can cut from the bolt?

Answers

Answer:

4 ribbons

Step-by-step explanation:

55 divided by 13= 4.23

In order to solve, you must divide the total amount of ribbon (55) by how long Sarah wants the strands of ribbon to be (13)

55 / 13 = 4.230769231

Sarah is able to have a maximum number of 4 13yd ribbon strands

10) if the pattern indicated below is continued, what would be the total number of cubes in the 5th stage
of the pattern?
a) 55
b) 36
c) 45
d) 30

Answers

Answer:

Option A. 55

Step-by-step explanation:

From the diagram given above, we discovered that the number of cubes in each stage is simply the addition of the squares of the number from 1 to the stage number i.e

1st Stage = 1² = 1 cube

2nd Stage = 1² + 2² = 1 + 4 = 5 cubes.

3rd Stage = 1² + 2² + 3² = 1 + 4 + 9

3rd stage = 14 cubes

With the above idea in mind, we can obtain the number of cubes in the 5th stage as illustrated below:

5th stage = 1² + 2² + 3² + 4² + 5²

5th stage = 1 + 4 + 9 + 16 + 25

5th stage = 55 cubes

Thus, there are 55 cubes in the 5th stage.

If there are exactly 2.54 centimeters in 1 inch, how many inches are in 1 centimeter
Round to two decimal places.​

Answers

Answer:  0.39 inches

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

Work Shown:

2.54 cm = 1 inch

2.54/2.54 cm = 1/2.54 inch  ...... divide both sides by 2.54

1 cm = 0.39370078740158 inches

1 cm = 0.39 inches

please explain this someone

Answers

Answer:

A. x=5

B. Look at image for answer

Step-by-step explanation:

No she is not correct.

Since both angles have the same measurement you set them equal to each other as so & solve for x

2x+90= x+95

x+90=95

x=5

In order to find the angle measurements you plug in 5

2(5)+90

10+90

= 100 degrees

Supplementary angles add up to 180 degrees so the angle next to the 100 degree one is 80 degrees

Which relation is also a function?

Answers

The answer is A

I put D bc someone said it was D and i got it wrong and it showed the answer was A so yeah ;-;

Given m || n, find the value of x

Answers

Answer:

if m and n are parallel then the value of x is 11

Write an expression:

The original price p of an item less a discount of 20%

Answers

P-20% could be that I’m not sure I tried
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