A directed line segment AB with A (1,3) and B (8,4) is partitioned by point C such that AC and CB form a 4:1 ratio. Find C
Write your answer as a coordinate point.
Do not include spaces in your answer.
Write your answer as a decimal if necessary.

Answers

Answer 1

Answer:

[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]

Step-by-step explanation:

Given

[tex]A = (1,3)[/tex]

[tex]B = (8,4)[/tex]

[tex]AC : BC = 4 : 1[/tex]

Required

Determine the coordinates of C

To do this, we make use of:

[tex]C = (\frac{nx_1 + mx_2}{n+m},\frac{ny_1 + my_2}{n+m})[/tex]

Where:

[tex]A = (1,3)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]B = (8,4)[/tex] ---- [tex](x_2,y_2)[/tex]

[tex]m:n = 4 : 1[/tex]

So:

[tex]C = (\frac{1 * 1 + 4*8}{1+4},\frac{1*3 + 4*4}{1+4})[/tex]

[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]


Related Questions

Tim spent $12.90 on a jacket and $8.45 on pants, and $13.32 on a shirt. He
went to 2 shops. In total, how much money did Tim spend on clothing?

Answers

Answer:

he spent $34.67 that is the answer

I don't know what to do ​

Answers

120°, thinking logically it’s bigger than 90° but not big enough to be over 150°, so your last answer is 120°
That’s a 120 degree

3. The measure of an interior angle of a regular polygon is 140. Find the number of sides the polygon has.​

Answers

Answer:

I hope this will help u

Step-by-step explanation:

Each interior angle of a regular polygon = 140 deg. So each exterior angle of the regular polygon = 180-140 = 40 deg. Hence the regular polygon has 360/40 = 9 sides.

Please mark me as Brilliant

9 sides


Jdncnsckjskcndjxmjdjdjsjdnsn

Your test scores in one class are 79 and 83. What possible scores can you earn on your next test to have a test average between 81 and 87, inclusive?

Answers

Answer:

83 and 84

Step-by-step explanation:

these numbers will both work because if you make an equation 79+83+x=y, with 87≥y≥81, and plug in these numbers for x, the answers are around 82 which is within the range.

In a right triangle when a = 8 and b = 15, what is the measure of c? ill give brainlist asap HELP!!!!!

Answers

Answer: 17

Step-by-step explanation:

To answer this question you can use the Pythagorean theorem which is a^2 + b^2=c^2. Plugging in the values you get 8^2 + 15^2=c^2. 8 times 8 is 64 and 15 times 15 is 225. 64+225=289. That leaves 289=c^2. Then find the square root of both numbers which leaves you with 17=c

Answer:

[tex]\boxed {\boxed {\sf c=17}}[/tex]

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

We know that a is 8 and b is 15. We don't know the measure of c.

[tex]a=8 \\b=15[/tex]

Substitute the values into the formula.

[tex](8)^2+(15)^2=c^2[/tex]

Solve the exponents.

(8)²= 8*8=64 (15)²= 15*15=225

[tex]64+225=c^2[/tex]

Add on the left side.

[tex]289=c^2[/tex]

Take the square root of both sides. This "cancels out" the exponent of 2 and isolates the variable.

[tex]\sqrt {289}=\sqrt{c^2}\\\sqrt{289}=c\\17=c[/tex]

The measure of c is 17.

−7+( 63/9) i have no clue what this is

Answers

0 is the answer

Remove parentheses.

7
+
63
9
-
7
+
63
9
Divide
63
63
by
9
9
.

7
+
7
-
7
+
7
Add

7
-
7
and
7
7
.
0

Answer:

0 (Zero)

Step-by-step explanation:

Order of Operations:P (Parentheses)E (Exponents)M (Multiplication)D (Division)A (Addition)S (Subtraction---------------------------------------------------------------------------------------------How to Use Order of Operations(PEMDAS) in This Equation:When having a equation with multiple steps you go down the list(shown above).  Parentheses are first there for you do that first.  After that you don't see any exponents, multiplication or division.  You see addition, so you do the addition portion of the equation.  You don't need subtraction since the problem is solved after the addition portion is done.----------------------------------------------------------------------------------------------Solving the Equation:First you need to do the equation in the parentheses then add -7Sooooo:63/9=7-7 + 7=0Your answer is 0 ----------------------------------------------------------------------------------------------

I hope I was able to help!! :)

emmanuel spent 20% on his savings on a new video game that cost 40$. how much was in his savings abount to begin with?

Answers

Answer:

He had $200 to begin with.

Help! I’ll reward brainest its pretty easy

Answers

add the two fractions together
1/2 + 1/8 (can’t see properly, is it an 8)
1/8 + 1/8
4/8 + 1/8
=5/8

2 3/4 yards of fabric for $22 express as unit rate. round to nearest cent if necessary

Answers

Answer:

7

Step-by-step explanation:

Answer:

13(rounded) cents per 1/4 yard and 50 cents per yard

Step-by-step explanation:

Step 1:  Convert the mixed fraction into an improper fraction

[tex]2\frac{3}{4} = \frac{4}{4}+\frac{4}{4}+\frac{3}{4}[/tex]

[tex]2\frac{3}{4}=\frac{11}{4}[/tex]

Step 2:  Find the unit price per 1/4 yard

[tex]\frac{11}{4}/22[/tex]

[tex]0.125 = 13 \ cents[/tex]

Step 3:  Find the unit price per 1 yard

[tex]12.5\ cents\ per\ 1/4\ yard=50\ cents\ per\ 1\ yard[/tex]

Answer:  13(rounded) cents per 1/4 yard and 50 cents per yard

The graph of f(x) = x2 was transformed tu
create the graph of d(x) = f(x) + 9. Which of
the following attributes will be the same for the
graphs f(x) and d(x)?
1. the domain
11. the range
III. the axis of symmetry

Answers

Answer:

i: the domain.

iii: the axis of symmetry.

Step-by-step explanation:

We have the function:

f(x) = x^2

The domain of this function is the set of all real numbers, and the range is:

R: [0, ∞)

(because 0 is the minimum of x^2)

Now we have the transformation:

d(x) = f(x) + 9 = x^2 + 9

Notice that this is only a vertical translation of 9 units, then there is no horizontal movement, then the axis of symmetry does not change.

Also, in d(x) there is no value of x that makes a problem, so the domain is the set of all real numbers, then the domain does not change.

And d(x) = x^2 + 9 has the minimum at x = 0, then the minimum is:

d(0) = 0^2 + 9 = 9

Then the range is:

R: [9,  ∞)

Then the range changes.

So we can conclude that the attributes that will be the same for f(x) and d(x) are:

i: the domain.

iii: the axis of symmetry.

What is the area of the triangle in the coordinate plane? F. 9 u2 G. 18 U2 H. 36 u2 J. 72 u2​

Answers

Answer:

Please show us the picture i really want to answer.

I need to know this fast

Answers

Answer:

396 Square feet

Step-by-step explanation:

1.) First find the side closest to you. 6 x 12 = 72. Then double it to match the parallel side. 72 x 2 = 144

2. Find the side to the right and left, 7 x 6 = 42. Then double it to match the parallel side. 42 x 2 =84

3.) Find the top side and bottom side. 12 x 7 = 84. Then double it to match the parallel side. 84 x 2 = 168

4.) Find the total surface area. 144+84+168=

5.) The total surface area is 396 square feet

Let me know if I am incorrect

5x + 4 = 3x + 10 how would you solve for the value of x? How would you prove your solution is correct? How would you prove another value is incorrect? Explain in as much detail as possible.

Answers

5x+3=3x+10 the first thing we're going to do it to subtract 3 from both sides which would look like this

5x+3-3x=10 (the minus because it changed place)

from 5x and 3x we get 2x so the next step is 2x=10-3 which is 7

so now we have

2x=7

x=7/2

Answer:

x=3

Step-by-step explanation:

5x+4 = 3x+10

2x = 6

therefore, x = 3

Verification:

5 * 3 + 4 = 3 * 3 + 10

15+4 = 9+10

19=19

Therefore, LHS= RHS

Hence Proved!

Plss I need help

ASAP

Answers

Answer:

21x+56 %thats ur answer hope it worked !

Answer:

21x

Step-by-step explanation:

ssjsjsjsjsjsssjsjsss

Find the value of x on a triangle

Answers

Answer:

x = 25

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees.

90 + x+ 2x+15 =180

Combine like terms

105+3x = 180

Subtract 105 from each side

105+3x-105 = 180-105

3x =75

Divide each side by 3

3x/3 = 75/3

x = 25

Answer:

25°

Step-by-step explanation:

2x + 15° + x + 90 °= 180° ( being sum of angles of triangle)3x + 105° = 180 °3x = 180 °- 105°3x = 75° x = 25°hope it helps :)

Can someone please help me I’m desperate it due tomorrowwww

Answers

Answer:

Step-by-step explanation:

First box: m=1/2

Second box: m=2

Third box: m=1

Fourth box: m=2

Which of the following is NOT a rate?
A
6 meters per second
O
B. 15 dollars per hour
C. 3 seconds per second
D. 2 dollars per pound

Answers

Answer:

c

Step-by-step explanation:

now are you going to get 3 seconds out of a second

Answer:

C

Step-by-step explanation:

C dosen't even make sence, so I think it is C.

The matrix is used to solve a problem. Which of the following would be a solution to the problem?

Answers

The answer would be c because I know

The solution of f (x) = -3 (2)^x and g(x) =x-14 is x = ____

Answers

f(0)= -3 that’s your answer

Quickly pls
The trinomial 2x2 + 13x + 6 has a linear factor of x + 6.

2x2 + 13x + 6 = (x + 6)(?)

What is the other linear factor?
x + 3
x + 6
2x + 1
2x + 3

Answers

Answer:

C. 2x + 1

Step-by-step explanation:

Answer:

Answer is: C. (on edge 2023)

Step-by-step explanation:

2x + 1

what is the measurement of jkl​

Answers

Answer:

The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.

Step-by-step explanation:

Please mark as brainliest!

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

54

Step-by-step explanation:

you can use a proportion to solve:

6/3=x/27

3x=27x6

3x=162

x=54

Answer:

I Know you already have an answer but its 5

Step-by-step explanation:

I dont mean to steal points and you still have no answer I just figured you already have an answer so I see no wrong in doing this

Money is shared between Sam and Sophie in the ratio 4:7 Sam gets 120 how much money does Sophie receive?

Answers

Answer:

sophie receives £210

Step-by-step explanation:

120÷4=30

30x7=210

WILL MARK BRAINLIEST! Solve for x and each angles measure. Only asking for #5. Thank you!

Answers

Answer:

Step-by-step explanation:

2x + 3x + 135 = 180                            Every triangle has 180 degrees

5x + 135 = 180                                    Subtract 135 from both sides.

5x = 45                                               Divide by 5

x = 9

2x =                  18

3x =                  27

Other angle   135

Total              280

Evaluate f(4)  for the function f(x)=3x-5
A.12
B.7
C.9
D.17​

Answers

the answer is b.7

Step-by-step explanation:

because you have to plug in the f(4) to the equation like this

f(4)=3(4)-5

and then multiple 3x4 which is 12 then subtract 12 and 5 and you get 7.

A bulletin board is 11 feet by 6 feet. The area of the board is what square feet.​

Answers

Answer:

66 feet sq.

Step-by-step explanation:

Eleven times six would be sixty-six.

Break up 11 into its tens and ones

11*6 =60

1*6 =6

Add the two, 60+6 =66

Write the following expression in exponential form: 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5

Answers

Answer:

[tex]4.5^{7}[/tex]

Step-by-step explanation:

Just count how many 4.5 there are.

4.5^7

jwnnd  jwdjndw jnfjwnjj fjnwjnfs cn jjwj wmc sknkw c mssc kskwc

A student eats 7 servings of vegetables and 4 servings of fruits one day. Which statement is true?

Answers

Answer:

Step-by-step explanation:

B

Which methods can be used to run a query? Check all that apply.
On the Create tab, in the Queries group, click Run.
In query Design view, on the Design tab, click Run.
Switch to Datasheet view before any other commands.
Close the Show Table dialog box in the Datasheet view.
On the Create tab, in the Queries group, click Create Query.

Answers

Answer: B & C

Edg2021

HELP HELP HELP HELP EHELP WIL LGIVE BRAINLY

Answers

Answer:

Step-by-step explanation:

top would be -a tiny b bottom would be a over b tiny c i think

Answer:

1) a^-b = 1/a^b                   (negative law of exponents)

2) correct                              (same bases)

3) a^c/b^bc=  (a/b)^c             ( Same powers)

I hope im right!!

(proved to u )

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