Given the points C (-7 , - 4) and (-1 , 5 ), find the coordinates of point E on directed line segment CD that partitions CD into the ratio 1 to 2.

Group of answer choices


(5, −1)


(1, −2)


(−5, −1)


(−10, 6)

Answers

Answer 1

The coordinates of point E on the given line CD is; Option C: (-5, -1)

We are given the points with coordinates;

C (-7 , - 4) and D(-1 , 5 )

Now, we are told that point E divides CD in the ratio 1:2.

Let coordinate of E be (x, y)

The formula to find (x, y) is;

x = (mx2 + nx1)/(m + n)

y = (my2 + ny1)/(m + n)

Where m:n is the ratio of the partition. Thus;

x = (1*-1 + 2*-7)/(1 + 2)

x = -15/3

x = -5

Similarly;

y = (1*5 + 2*-4)/(1 + 2)

y = -1

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Related Questions

Children each received 1/8 of a chocolate bar. How many squares did each child receive if the chocolate had 16 squares? How many children were there?

Answers

Step-by-step explanation:

If the chocolated had 16 squares.

there we're only two children was there.

pls help me right now!

and pls show your solution properly​

Answers

I'm not good in math ok bye

A) Atra = 0.5 ( 7 + 3 ) x 3 = 15 cm^2

B) Atri1 = 1/2 x 3 x 2 = 3 cm^2

Atri2 = 1/2 x 3 x 2 = 3 cm^2

Arec = 3 x 3 = 9 cm^2

Atra = Atri1 + Atri2 +  Arec = 3 + 3 + 9 = 15 cm^2

ok done. Thank to me :>

so hard! please help!

Answers

Answer:

please take a closer picture. :)

Step-by-step explanation:

$7,158.74

Maybe you should consider deleting this because you can see almost your full name.

Question 10 of 10 According to this diagram, what is tan 62°? 62 i 7 28° tra OA. A. 15 B. 0 O C. OD D8 O E 17 F​

Answers

9514 1404 393

Answer:

  B.  15/8

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent relation is ...

  Tan = Opposite/Adjacent

The side opposite the 62° angle is marked 15.

The side adjacent the 62° angle is marked 8.

Then the tangent ratio for 62° is ...

  tan(62°) = 15/8

What is the smallest whole number that is a multiple of 5, 9, and 12?

Answers

Answer:180

Step-by-step explanation:

you start by finding the prime factorization of the number

5=1*5

9=3*3

12=2*2*3

the shortest way to find the factors is to find is most of them like example, at max, there are 2 two's, 2 three's and 1 five then you multiply them all together

4*9*5=180 and that's the answer

Answer:

180

Step-by-step explanation:

find the area of the shaded region​

Answers

Answer:

Step-by-step explanation:

2 rectangles 2.5 x 3.5 and 2 rectangles 2 x 3.5

A = 2(2.5)(3.5) + 2(2.0)(3.5)

A = 7(2.5 + 2.0)

A = 7(4.5)

A = 31.5 cm²

how long is the shadow the tree casts?

Answers

Anwser: 12 feet long

What is the probability that a point chosen at random in the rectangle is also in the blue triangle?

A triangle inside of a rectangle. The triangle is shaded and has a base of 5 inches and height of 4 inches. The rectangle is not shaded and has a height of 4 inches and length of 5 inches.
One-half
Four-fifths
1
2Simplify:

Answers

Answer:

1/2

Step-by-step explanation:

I did the quiz on Edge 2021 and got it right with 100%.

Please give me brainliest!

Charlie saves $2 for every $9 he earns. Melody saves $4 for
every $12'she earns. Is Charlie's ratio of money saved to money
earned equivalent to Melody's ratio of money saved to money
earned?

Answers

no they are not equivalent

Step-by-step explanation:

due that when you subtract 12 from 4 =8

but when you subtract 9-2=7 and that when Charlie will be losing a dollar and that Melody will have a dollar more

show that √20 = 2√5 ​

Answers

2√5=√4×√5. (as √4=2)

So,we can write √2×5 as √4×√5

2√5=√4×5

2√5=√4× √5.

2√5=√20

hence , 2√5 = √20

Solve the system of linear equations using matrices.
2x+y+z=3
-x+y-6z=-24
x+6y+6z=-4

The solution is ____ ​(Type an exact answer in simplified​ form.)

Answers

Answer:

  (x, y, z) = (2, -4, 3)

Step-by-step explanation:

It is convenient to let an appropriate calculator reduce the augmented matrix to reduced row-echelon form. The rightmost column in that form is the solution vector [x, y, z].

__

If you want to solve this by hand, you can perform the following row operations to reduce the augmented matrix as shown in the attachment.

r1 ← r2 +r3; r2 ← (r2 +r3)/7 . . . . use this matrix for the next row replacement

r3 ← (r3 -r1 -4·r2)/11 . . . . . . . . . . use this matrix for the next row replacement

r1 ← r1 -2·r2 +5·r3

__

r1, r2, r3 refer to rows 1, 2, 3, respectively. The indicated multiplication and division are scalar operations, operating on each individual term in the row.

_____

Additional comment

Most graphing calculators have matrix solving functions. Apps are available for phone and tablet that will do this, and there are online websites that will reduce an augmented matrix as well.

Find x value
[tex] {x}^{3} + {x}^{2} + 8x + 12 = 0[/tex]
?? ​

Answers

step -1

Changes made to your input should not affect the solution:

Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).

x3+x2-8x-12 is not a perfect cube

Factoring: x3+x2-8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)Group 2: (2x+3) • (-4)

Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.15. How much will the fabric cost?

[1 ft = 0.305m]

$9.20
$2.12
$2.81
$30.16

Answers

Answer:

$2.81

Step-by-step explanation:

8 feet = 2.44 meters

2.44 · $1.15 = $2.81

I hope that this helps!!!

Answer:

c. 2.81

Step-by-step explanation:

Find the equation of the line shown below
Y=mx+c

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

1. First you find m. Because the line is slanting downwards, you know it is negative. Then you can find the number by looking at the rise over run (rise/run). We can go up 1 (rise) and then to the side 4 (run). We go to the right side 4 because that is where the line intersects with up 1. So because the rise goes over the run, the number would be 1/4. But remember that it is negative so m = -1/4

2. Now we have to find c. For this you just have to go up or down the y-axis until you find the point where it intersects with the line. On this graph it intersects on positive 2. So c = + 2

In the expression 7x +8z + 10+ y

What is the coefficient of x?___

What is the coefficient of z? ___

What is the coefficient of y? ___

What is the constant? ____

Answers

Answer:

7

8

1

10

Step-by-step explanation:

the coefficient of x you look at x the number associated with x is the coefficient.same applies to z y and constant number independent of any letter

I am good at reading not math I need help please

Answers

Step-by-step explanation:

the answer is attached

I Hope This Help

Which of the following is a solution to the given equation?
y=-3x - 7
A)
(-2,-1)
B)
(-1,-10)
C
(4,-5)
D
(3,-2)

Answers

Answer: A

Step-by-step explanation:

By replacing in the given equation:

y=-3x-7

y=-3(-2)-7

y=6-7

y=-1

But for choices B, C and D the given x values don't fit with the images.

what is the best estimate of 97/7 and 1 3/4

Answers

Answer:

next question nexy question

Quiz

2² =
4² =

use the method, no calculation ​

Answers

Step-by-step explanation:

= 2 × 2

= 4

▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎

= 4 × 4

= 16

▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎

I Hope This Help

hello! i am doing a practice test for school & i need some help.

Answers

Answer:

C IS YOUR ANSWER ,,,,,,,,,,,,,,TICK THAT ANSWER

WHAT IS THE INVERSE FUNCTION ANSWER USING STEPS: y=-3/4x-15

Answers

Answer:

What is the inverse of f(x)=−3x+5 ?

f ^−1(x)=−3x+5

f ^−1(x)=1/3x−53

f ^−1(x)=−1/3x+53

f ^−1(x)=3x−5

Second question

What is the inverse of the function?

g(x)=−4/3x+2

g−1(x)=4/3x−2

g−1(x)=−4/3x−2

g−1(x)=−3/4x+32

g−1(x)=3/4x+23

Skajekjejejwjejekwjkekekekejeje

Answers

Answer:

Skajekjejejwjejekwjkekekekejeje!!!

Step-by-step explanation:

Answer: lollllll , ?????

Step-by-step explanation:

You have 2.567 grams of water. What is the volume of water(use correct units)

Answers

Answer:

16

Step-by-step explanation:

16 grams

Evaluate the expression for y=1.4, y=5, y=6.4
y ÷ 4
the expression y ÷ 4 is equal to ____ for y = 1.4.

Answers

Answer:

I think it is y=5...........

Simplify.
3 √ b^2
-.2√x^2

Answers

Answer:

[tex]1.3 \sqrt{b {}^{2} } [/tex]

Pull terms out from under the radical, assuming positive real numbers.

[tex]3b[/tex]

[tex]2. - 2 \sqrt{x {}^{2} } [/tex]

Pull terms out from under the radical, assuming positive real numbers.

[tex] - 2x[/tex]

Saima mixes jam, sugar and soft cheese in the ratio 4:1:16 She uses 32 oz of soft cheese. Saima knows that 1 oz is 28.3 grams.
How many grams of jam does Saima need?​

Answers

Step-by-step explanation:

jam : sugar : cheese = 4 : 1 : 16

that means she uses 4 times more jam than sugar, and 16 times more cheese than sugar (and therefore 4 times more cheese than jam).

so, now we know, she uses 32 oz of cheese.

that is (as we just determined) 4 times more than jam.

therefore, she uses

32/4 = 8 oz of jam.

1 oz = 28.3 grams

so, 8 oz are

8 × 28.3 = 226.4 grams

if i get 45/50 in a test how much percentage is it

Answers

Answer:

the answer to your questions is 90%

9:12=15:______

I need the answer pls!

Answers

Answer:

15:20

Step-by-step explanation:

We can simplify the ratio to 3:4

after doing that we can multiply both sides by 5 giving us

                          15:20   as our answer

Or you can cross multiply

9 : 12 = 15 : x

Now we have 9x = 180

divide both sides by 9 and we get

x=20

which would work giving us the ratio of                         9 : 12 = 15 : 20

Plssssss help me pls no fake answers and pls no links and pls answer both questions

Answers

false for 4.

ture for the 1st one

brianliest me

Answer:

1 True. 2. True

What the answer plz
Some anybody

Answers

The answer is 2•8n•8n•8n•8n
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