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

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

State the domain and range in interval notation​

Answers

I’m sory I don’t exactly know

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.

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!

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

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.

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]

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:

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! :)

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:

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:

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.

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:

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

Is this relation a function?

Answers

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

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˚

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. :)

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.

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]

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

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

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

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

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.

Is 0 a real, imaginary, or complex number?

Answers

Answer: 0 is a imaginary number

Step-by-step explanation:

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

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:

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

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

Answers

Answer:

i think its 24

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:

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