Find B on AC such that the ratio of AB to BC is 3:2. A (4, 2) and C (-6, - 13).

Answers

Answer 1

Answer:

  B(-2, -7)

Step-by-step explanation:

The ratio requirement means ...

  (B-A)/(C-B) = 3/2

  2(B-A) = 3(C-B) . . . . cross multiply

  2B -2A = 3C -3B . . . eliminate parentheses

  5B = 2A +3C . . . . . . add 3B+2A

  B = (2A +3C)/5 . . . . divide by 5

Now that we have a formula for B, we can fill in the given point values:

  B = (2(4, 2) +3(-6, -13))/5 = (8-18, 4-39)/5 = (-10, -35)/5 = (-2, -7)

The coordinates of B are (-2, -7).


Related Questions

Which statement is true?
A. 3 2/5 < 2 4/5
B. 2/3 > 1 7/3
C. 4 1/4 > 2 3/4
D. 1/2 < 1/4

Answers

Your answer is gonna be C

Answer: C. 4 1/4 > 2 3/4

Step-by-step explanation: Option C is correct because when comparing mixed numbers, we first compare the whole numbers. In this case, 4 is greater than 2. Then, if the whole numbers are the same, we compare the fractions. In this case, 1/4 is greater than 3/4. Therefore, 4 1/4 is greater than 2 3/4.

- Lizzy ˚ʚ♡ɞ˚

I need to know what x is and if you could put the steps that could be really helpful (THANK YOU)

Answers

Step-by-step explanation:

Hey there!!!

Here,

Triangle BCM and triangle ABC are 2 isosceles triangle.

Solving in triangle BCM.

Angle CBM = 31° { it is the base angle.}

Angle CBM + 31° + angle BCM = 180° { sum of interior angle of a triangle is 180°}.

31°+31°+ angle BCM = 180°

Angle BCM = 180° - 62°

Therefore the measure of angle BCM = 118°.

Again,

Solving in triangle ABC.

Angle BCM + angle ACB = 180° { being linear pair}.

118°+ angle ACB = 180°

Angle ACB = 180°-118°

Therefore the measure of angle ACB is 62°.

Angle ACB = angle BAC (Base of an isosceles triangle).

Therefore the measure of angle BAC = 62°.

Now, To find x,

Angle BAC + angle ACB + angle x = 180° (sun of interior angle of a triangle is 180°).

62°+62°+angle x = 180°

Therefore the measure of angle x is 56°.

[tex]hope \: it \: helps...[/tex]

If I spent $3.87 on grapes at Tom Thumb and I bought 3.05 pounds. How much was each pound?
(round to the nearest hundredths place because it is money)

Answers

Answer:

$1.26 or $1.27 depending on whether you round up or down. The number in the thousandths is an 8 though

Step-by-step explanation:

You would divide 3.05 by itself to get one pound

and then 3.87 by 3.05. You have to divide both numbers so you get the number for one pound.

3.87÷3.05=1.268852459

Round up or down depending on what your teacher would want you to do so that the decimal is in the hundreths like money.

PLZZZZ HELP WILL GIVE BRAINLIST

Answers

Answer:

Step-by-step explanation:

Unlikeley: 0.6

likely: 0.35

Impossible: 0

Certain: 0.5

Equally: 0.9

unlikely: 1

Hope This Helps! :)

What is 17 percent of 425 please show step by step. I’m really struggling

Answers

Answer:

72.25

Step-by-step explanation:

17% of 425

=17\100 ×425

=7225/100

=72.25

Answer:

72.25

Step-by-step explanation:

Lets say you are trying to find p percent (p%) of a number n. To do this, you would divide the percent (p) by 100 and multiply it by the number (n). In other words:

[tex]n*\frac{p}{100}[/tex]

We can use this to find 17 percent of 425. 17 would be our percent and 425 would be our number.

[tex]425*\frac{17}{100}=425*0.17=72.25[/tex]

So 17 percent of 425 would be 72.25.

I hope you find my answer and explanation to be helpful. Happy studying. :)

which unit represents 0.01 liters

Answers

Answer:1 centiliter

Step-by-step explanation:1 centiliter equals 0.01 liters

The answer is 1 centimeter

what is the distance between (8, -3) and (4, -7​

Answers

Answer: I HOPE IT HELPS

Step-by-step explanation:6

2

8.49

to 2 decimal places

Explanation:

Calculate the distance ( d ) using the  

distance formula

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

d

=

(

x

2

x

1

)

2

+

(

y

2

y

1

)

2

2

2

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−  

where  

(

x

1

,

y

1

)

,

(

x

2

,

y

2

)

are 2 coordinate points

The 2 points here are (-8 ,4) and (-2 ,-2)

let  

(

x

1

,

y

1

)

=

(

8

,

4

)

and  

(

x

2

,

y

2

)

=

(

2

,

2

)

d

=

(

2

+

8

)

2

+

(

2

4

)

2

=

36

+

36

=

72

x

=

36

×

2

=

36

×

2

=

6

2

8.49

Is 0 a real, imaginary, or complex number?

Answers

Answer: 0 is a imaginary number

Step-by-step explanation:

someone help me answer this plzzzzz

Answers

Answer:

Step-by-step explanation:

r = (x  co-efficient  ÷ 2)²

r = (6/2)² = 3²

r = 9

s = - 2r

s = -2*9 = -18

Pls, Help! I need this today!

Answers

Answer:

see below

Step-by-step explanation:

5/6 + ( -1 1/6)

Changing the mixed number

5/6 + - (6/6 +1/6)

5/6 + ( -7/6)

-2/6

Simplify

-1/3

Since these are divided into 6 pieces, go two pieces to the left of zero.

Is this relation a function?

Answers

yes that is a function because every number has a pair that goes to each other once

which value for x makes the sentence true? 1/40 + x = 1/8

Answers

Answer:

x = 1/10

Step-by-step explanation:

1/40 + x = 1/8

Subtract 1/40 from each side

1/40-1/40 + x = 1/8-1/40

x = 1/8 - 1/40

Get a common denominator

x = 1/8 *5/5 - 1/40

x = 5/40 - 1/40

x = 4/40

Simplify

x = 1/10

Solve 5x + 2 = 3x -8

Answers

Step-by-step explanation:

5x-3x=-8-2

2x=-10

x=-10/2

x=-5

Answer: x=-5

Step-by-step explanation:

Given

5x + 2=3x -8

Subtract 2 on both sides

5x + 2 - 2=3x - 8 - 2

5x=3x-10

Subtract 3x on both sides

5x - 3x=3x - 10 -3x

2x=-10

Divide 2 on both sides

2x / 2=-10 / 2

x=-5

Tula can paint 2/3 of a room in 3/4 hours. How many rooms can she paint in one hour?

Answers

Answer:

She can paint 1 1/2 of a room

Step-by-step explanation:

I believe...

Answer:

8/9

its just simple equations

you do 2/3 divided by 3/4 for the unit rate.

find the value of x so that f (x)=7

Answers

Answer:

i think its 24

Step-by-step explanation:

3≤7+g what does g equal?

Answers

Answer:

-4

Step-by-step explanation:

Solve this like a normal equation. Pretend the ≤ is an equal sign. Then isolate the variable. Subtract 7 from both sides, and that will give you -4

Can someone rewrite the expression x^2 * x^-12 in the form of x^n. Pleasee

Answers

Answer:

x^ -10 or 1/x^10

Step-by-step explanation:

State the domain and range in interval notation​

Answers

I’m sory I don’t exactly know

If g(x) = 3x^2+2x-1. Find g(-1).​

Answers

Step-by-step explanation:

g(x) = 3x² + 2x - 1

g(-1) = 3(-1)² + 2(-1) - 1

= 3(1) -2 -1

= 3 - 3

= 0

The volume of a rectangular prism with a length of x meters, a width of x - 1 meters, and a height of x + 11 meters is
no more than 180 cubic meters. What are the possible values of the length?
(-0, -9) U (-5,4)
0 (0,4)
O (1.4)
O (1.4)

Answers

Answer:

The answer is c

Step-by-step explanation:

Find the area of a square with a side of length 2 Square root of 3+6 square root of 7 inches

Answers

Answer:

(264+24√21) in²

Step-by-step explanation:

Area of a square = Length * Length

A = L²

Given the length of a square as [tex]2\sqrt{3}+6\sqrt{7}[/tex] inches' The area of the square will be calculated as shown;

[tex]A = (2\sqrt{3}+6\sqrt{7})^2\\\\A = (2\sqrt{3}+6\sqrt{7})(2\sqrt{3}+6\sqrt{7})\\\\A =(2\sqrt{3})(2\sqrt{3})+(2\sqrt{3})(6\sqrt{7})+(6\sqrt{7})(2\sqrt{3})+(6\sqrt{7})(6\sqrt{7})\\\\A = 4\sqrt{9}+12\sqrt{21}+12\sqrt{21}+36\sqrt{49}\\\\A = 4(3)+24\sqrt{21}+36(7)\\ \\A = 12+24\sqrt{21}+252\\\\A = 264+24\sqrt{21}[/tex]

Hence the area of the square is (264+24√21) in²

the temperature dropped from 44 degree to -56 degree. what was the change in tempreture

Answers

The change in temperature was 100 degrees I believe.

8•1,000+1•1+5•100+4•10,000+8•10 standard form

Answers

Answer:

48581

Step-by-step explanation:

Answer:

48581

Step-by-step explanation:

If a 48-gram serving of pasta contains 6 g of protein, how many grams of protein are in a 908-gram box of the pasta?

Answers

Answer:

i believe the answer is 114g of protein. i hope this helps

Step-by-step explanation:

Ifa student wanted to design an experiment that uses sound scientific principles, which of the following
should he or she not do?

A. Start with a hypothesis

B.Test more than one variable at a time

C.Record data in a table

D. compare results with others

Answers

Answer:

the answer is B

Step-by-step explanation:

simplify the following equation: (5 + 3)²​

Answers

Answer:

64

Step-by-step explanation:

5+3=8

8*8=64

Answer:

the answer is 64

Step-by-step explanation:

what is the difference between 9 - 4 1/5

Answers

Hey there!☺

[tex]Answer:\boxed{4\frac{4}{5}}[/tex]

[tex]Explanation:[/tex]

[tex]9-4\frac{1}{5}[/tex]

Subtract the whole number by the fraction.

[tex]\frac{24}{5}[/tex]

24/5 needs to be simplified so we will rewrite it like this:

[tex]4\frac{4}{5}[/tex]

Hope this helps!

The probability that an event will happen is P(E)=
34/41.
Find the probability that the event will not happen.

Answers

Answer:

7/41

Step-by-step explanation:

There is a 34/41 probability that this event will happen so to find the probability of which the event will not happen, the subtract 34 from 41 to get your answer.

41-34=7

Therefore, 7/41 is the answer.

Ps. is the P(E) included in the main question? if it is, the the answer might differ from the one I am giving you.

Solve for x:2/3=x/9 can someone solve this

Answers

Hey there!

ANSWER: [tex]x=6[/tex]EXPLANATION:

[tex]\frac{2}{3}=\frac{x}{9}[/tex]

For the first step, we will need to use the cross multiplying method.

[tex]\frac{2}{3} =\frac{x}{9}\\ (2)*(9)=(x)*(3)\\18=3x[/tex]

Now let's flip.

[tex]3x=18[/tex]

Now for the final step, we will have to divide both sides by 3.

[tex]\frac{3x}{3} equals\frac{18}{3}[/tex]

Simplify 18/3.

[tex]18/3=6\\6(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Name (Templatel 09.09.2020 - Assignment 004 NAME Assignment 004 - Dividing Fra Divide Fraction by Fraction Divide. Write in simplest form. 2/3÷4/5​

Answers

Answer:

5/6

Step-by-step explanation:

2/3 ÷ 4/5​

2/3 × 5/4

10/12

5/6

Other Questions
Evaluate 5^-4. Write your answer as a fraction in simplest form write 8 is the whole number 11 is the numerator and 20 is the denominator Contributing to the Romanization of the Mediterranean world was the . What did Charlemagne do to conquered people who wouldnt convert to Christianity? Evaluate (-5z)^3 . Write your answer using only positive exponents. Evaluate any numerical powers. Please help quick!!!! Water cost $1.25 per bottle. At this rate, what is that cost of 50 bottles? You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. Create and graph a system of inequalities that represents the constraints Spain wanted to befriend the Comanche people so they decided to ______________. a. put extra effort into Christianizing the Comanches b. adopt the trade practices of the French fur traders c. wage more attacks on the Apaches d. trick the Comanches into fighting the Apaches Please select the best answer from the choices provided A B C D Question 7 of 10Use the elimination method to solve the system of equations. Choose thecorrect ordered pair.5x + 3y = 312x + 3y = 25O A. (5,2)O B. (5,3)O C. (2,7)OD. (2,3) an action or state of being what is the longest word in spanish A wire 6.60 m long with diameter of 2.05 mm has a resistance of 0.0310 .Find the resistivity of the material of the wire.rho= *m An ounce of silver is worth $20.16 per ounce. How much is 13.5 ounces of silver worth? need help with my words in vocab What are the problems scientists are trying to solve in order to get to Mars? list 5 -i+5=t-19 please help!! What is the net Force needed to get a 16 kg box moving 4 m/s^2? Question 5 of 10Solve 2x + 4 > 16.O A. x 10O C. x>6O D. x< 6 Find the midpoint of the line segment with the given endpoints (-4,4) (5,-1)