Line segment EG is partitioned by point F in the ratio 1:2. Point E is at E (0, 4), and point F is at (1, 3). What are the coordinates of point G?

(−1, 5)
(2, 2)
(3, 1)
(4, 0)

Answers

Answer 1

Answer:

(3, 1)

Step-by-step explanation:

Answer 2

The coordinates of point G is (c) (3,1)

The coordinate points are given as:

[tex]\mathbf{E = (0,4)}[/tex]

[tex]\mathbf{F = (1,3)}[/tex]

The ratio is given as:

[tex]\mathbf{m : n = 1 :2}[/tex]

Line ratio is given as:

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

Point F is at the partitioned point.

So, we have:

[tex]\mathbf{(1,3) = \frac{1 \times x_2 + 2 \times 0}{1 + 2}, \frac{1 \times y_2 + 2 \times 4}{1 + 2}}[/tex]

[tex]\mathbf{(1,3) = \frac{x_2 }{3}, \frac{y_2 + 8}{3}}[/tex]

Multiply through by 3

[tex]\mathbf{(3,9) = (x_2, y_2 + 8)}[/tex]

By comparison, we have:

[tex]\mathbf{x_2 = 3}[/tex]

[tex]\mathbf{y_2 + 8= 9}[/tex]

Subtract 8 from both sides

[tex]\mathbf{y_2 = 1}[/tex]

Hence, the coordinates of point G is (c) (3,1)

Read more about line partitions at:

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Related Questions

Anyone can find this?

Answers

Answer:

a=34 °

b=76°

c=70°

d=70°

Step-by-step explanation:

The angles 76° , 34°, and c make up a triangle. A triangle has a sum of 180°.

180° = 76° + 34° +c

c=70°

The parallel lines create 2 congruent triangles so we can use the same angles from the first triangle for the second one.

solve 8p = 40 using mental math

A 32 B6 C 5 D 4

Answers

Answer:

B

Step-by-step explanation:

Answer:

c. 5

Step-by-step explanation:

8 times 5 is = to 40

write an expression in simplest form that represents the cost for shampooing and cutting w women's hair and m men's hair.

Cut for women: $15
Cut for men: $7
Shampoo for women: $5
Shampoo for men: $2

Answers

Answer:

the cost of the women's haircut is $15 and to shampoo the woman's hair is $5

and the cost of the mens hair cut is $7  and to shampoo the mens hair is $2

15+5=$20 is how much it cost for the women.

7+2=$9 is how much it cost for the men.

Step-by-step explanation:

grabriella volunteers at the hospital every 4th day.she volunteers at the food pantry every 6th day.she volunteered at the hospital and the food pantry both on march 31.On what date will she next volunteer at both?​

Answers

Answer:

April 12th

Step-by-step explanation:

Given An = 5a(n-1) where a1= 2. What are the first 4 terms

Answers

Answer:

2, 10, 50, 250

Step-by-step explanation:

Using the formula with a₁ = 2 , then

a₂ = 5a₁ = 5 × 2 = 10

a₃ = 5a₂ = 5 × 10 = 50

a₄ = 5a₃ = 5 × 50 = 250

The first 4 terms are 2, 10, 50, 250

f(x) = 5x^3 + 2x^2 – 7x + 4
g(x) = 3x – 7
Find (f +g)(x)

Answers

Answer:

d

Step-by-step explanation:

I am pretty sure that is the answer

A function assigns the values. The value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3. The correct option is D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given the two functions such as,

f(x) = 5x³ + 2x² – 7x + 4

g(x) = 3x – 7

Now, the value of (f +g)(x) is the value of the function which is produced when the two of the given function are added together, therefore, the value of the added function can be written as,

(f +g)(x) = f(x) + g(x)

(f +g)(x) = (5x³ + 2x² – 7x + 4) + (3x – 7)

            = 5x³ + 2x² – 7x + 4 + 3x – 7

             = 5x³ + 2x² – 4x – 3

Hence, the value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3.

Learn more about Function:

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Please help!!!
Which statements are true about the ordered pair
(2, 3)
and the system of equations?
3x + 4y = 18
2x - 2) = 2
Select each correct answer.
When
(2, 3) is substituted into the second equation, the equation is true.
The ordered pair (2, 3) is not a solution to the system of linear equations.
When (2, 3) is substituted into the first equation, the equation is false.
The ordered pair (2, 3) is a solution to the system of linear equations.
(2, 3) is substituted into the first equation, the kuation is true.
When (2, 3) is substituted into the second equation, the equation is false.
When

Answers

Answer:

63.0985

Step-by-step explanation:

8.4n p when n= 2 and p = 4

Answers

Substitute 2 for n and 4 for p
8.4 (2) (4)=67.2

Winston needs at least 80 signatures from students in his school before he can run for class president. He has 23 signatures already. He and two of his friends plan to get the remaining signatures during lunch. If each person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get so he can run for class president?Solve the inequality algebraically.

Answers

Answer:

At least 19 signatures.

Step-by-step explanation:

Winston already has 23 signatures, so he has 57 left to go (80 - 23).

There are 3 people collecting signatures, so the equation will be as following:

3x ≥ 57

To break down this equation, 3x because each person is collecting x number of signatures, and 57, because if you add those signatures upp, then it will have to be at least 57, therefore the operator should be ≥ .

If you solve 3x ≤ 57, then you will find that x ≥ 19, so they each have to have at least 19 signatures.

I hope that you found this helpful!

What is the final sales price of a telescope that originally cost $400 but was marked up 32?

Answers

Answer:

$528

Step-by-step explanation:

I'm assuming you mean up 32%?

20 points!!

Find the equation of the trend line (line of best fit). Show your work.

Answers

Answer:

so, i found two points that are on the graph.

(50, 100) (100, 200)

Step-by-step explanation:

then u fraction them (rise over run) 100/50 200/100 and simplify 2/1 thats ur slope or "m" then im pretty sure u put it in a y=mx+b so y= 1/2x+0

En tu trabajo de ciencias te toco realizar un experimento de cultivó de hongos en una pieza de pan de harina de trigo y una tortilla de maiz. La secuencia de revisión para la toma de datos será, en el primer caso, cada 15 dias; y en el otro, cada 20 por tres meses. ¿A los cuantos días te tocaría revisar ambos cultivos?

Answers

Responder:

60 días

Explicación paso a paso:

Primer caso = cada 15 días

Segundo caso = cada 20 días

El número de días en los que habrá que comprobar ambos cultivos se puede obtener encontrando el mínimo común múltiplo de 15 y 20

Múltiplo de:

15:15, 30, 45, 60, 75, 90, 105

20:20, 40, 60, 80, 100, 120

El mínimo común múltiplo de 20 y 15 es 60

El día en el que habrá que controlar ambos cultivos es de 60 días

Person who helps will get brainliest comment.

Answers

Answer:

Hey,Nothing is there.

Step-by-step explanation:

Write the equation of the line that represents the given situation

Answers

Answer:

C

Step-by-step explanation:

If there was already 5 dollars in the piggy bank, that would mean to just add 5. And since x equals number of weeks, you would want to divide that number by 1/4 because she only puts 1 dollar in every 4 weeks.

A quadratic function is increasing to the left of x = 2 and decreasing to the right of x =2. Will the vertex be the highest or lowest point on the
graph of the parabola? Explain.

Answers

9514 1404 393

Answer:

  highest point

Step-by-step explanation:

If the slope goes from positive to negative as x increases, the slope of the slope is negative. That means the curve opens downward. A parabola that opens downward has a vertex that is the highest point on the graph.

Please help! Thank you :) Will give brainlist

Answers

The answer to that is y<-39/40

Grant finds the difference of 360 and 127 as shown. What is Grant's

mistake?

Grant should have subtracted the ones first and

the hundreds last.

Grant did not regroup the 2 hundreds when he

subtracted 7.

360

- 100

260

20

240

7

243

Grant should have subtracted 120 instead of 20.

Grant did not regroup the 4 tens when he

subtracted 7

Done

Hey

Answers

Answer:

D. Grant did not regroup the 4 tens when he  subtracted 7.

Step-by-step explanation:

In the process of subtraction, regrouping is important so that each digit in the given numbers are placed appropriately before the required arithmetic operation is performed.

The correct step to Grant's solution are:

360 - 100 = 260

260 - 20 = 240

240 - 7 = 233

Grant's final answer ought to have been 233.

Going through his solution, he made a mistake while subtracting 7 from 240. He failed to regroup the 4 tens when he  subtracted 7 from 240. Thus the essence of his wrong answer.

by 8:00 a.m., the snack bar had made $3,256 in sales. By noon, the snack bar's total sales were $8,821. On average how much money did the snack bar take in each hour between 8:00 a.m. and noon?

Answers

Answer:

$1,391.25

Step-by-step explanation:

Noon would be 12:00 PM which would be 4 hours ahead of 8:00 AM

We subtract $8,821 by $3,256 to get the amount earned between 8:00 AM and 12:00 PM

$8,821 - $3,256

= $5,565

The find the average taken in within those 4 hours we will have to divide the money earned by the hours

$5,565/4

= $1,391.25

help fast it's timed please​

Answers

Answer:

180 degrees

Step-by-step explanation:

the sum of all the interior angles of a triangle will always be 180 degrees

Answer: 180 degrees

Step-by-step explanation: just search it up and yes it is 180 degrees

what is the simplified form of x+6/x+4 +x-3/3​

Answers

Answer:

3x+2

Step-by-step explanation:

x+6/x+4+x-3/3

3x+6/4-3/3

3x+6/1/3

3x+6/3

3x+2

What is the slope of the line below

Answers

Answer:-1/2

Step-by-step explanation:

Look at the points

why did trump get any votes. he is a terrible person

Answers

Answer:

terrible people vote terrible representatives

Step-by-step explanation:

what is the multiple of 9 but is also a factor of 9

Answers

Answer:

the answer i believe is 3

Trick question it's 9
Factors is 1x9 and 3x3
Multiple is 1x9 is 9
2x9 is 18 and then they keep getting bigger from there

The college student who is looking for a data plan for her cell phone found a third option,
which also offers a 2 gigabyte monthly allowance for data.
The monthly cost of this option can be represented by function C defined by:
C(x) = 30x + 5, where x is the gigabytes of data used over the monthly allowance.
1. Find C(0.7) and explain what it means in this situation,

Answers

Answer:

C(0.7) = 26

Step-by-step explanation:

Given:

C(x) = 30x + 5

where,

x = gigabytes of data used over the monthly allowance.

1. Find C(0.7) and explain what it means in this situation

C(0.7) means he used 0.7 gigabytes of data over the monthly allowance

Substitute x = 0.7 into the equation to find the monthly cost of the option

C(x) = 30x + 5

C(0.7) = 30(0.7) + 5

= 21 + 5

= 26

C(0.7) = 26

When x = 0.7, his total cost will be 26

A submarine is at a depth of 30m. It descends another 20m and then rises
40m. What is its final depth?

Answers

the answer is 10m deep after rising

The probability that Lara will win the boys’ 100 m race is 4/7 and the probability that Dhiya will win the girls’ 100 m race is 3/7 . What is the probability that (i) Both of them will win their events

Answers

Answer:

Step-by-step explanation:

P(both) = 4/7 * 3/7 = 12 / 49

X-3y=9 into a slope intercept form

Answers

Answer:

y=1/3x-3

Step-by-step explanation:

Slope intercept form is: y=mx+b

so you need to leave y on one side and the others on the other side:

First, you need to move the x to the other side by subtracting x on both sides:

x-x-3y=-x+9

Simplify:

-3y=-x+9

Now you divide -3 on both sides to eliminate the -3 on -3y:

y=1/3x-3

Hope this helps!

You need to know what is a slope means first.
- Slope is m which is the gradient.
- the gradient formula is y=mx+b
-I.e mx represent the gradient and b is y-intercept.
- x-3y=9–> 3y=x-9
Then divide 3 to both side to cancel the 3y=y.
—> y=x/3-3
I hope this helps!

what Is thee error and the solution​

Answers

Answer:

X=5

Step-by-step explanation:

Multiply by 3 first

Expand and Simplify
4( b+3) + 2 (b + 5)

Answers

Answer:

4( b+3) + 2 (b + 5)

4b+12+2b+10

6b+22

Step-by-step explanation:

Answer:

6b + 22

Step-by-step explanation:

4b + 12 + 2b + 10

add the like terms so 4b and 2b & 12 and 10

so: 6b + 22

Please help I have no idea what the answer is

Answers

Answer:

x= 35 degrees

Step-by-step explanation:

The sum of the angles in a triangle are 180 degrees.

102+43=145

180-145=35

Answer:

35

Step-by-step explanation:

Remember

a triangles angles must sum up to 180 for it to be identified as a triangle.

no more no less

So add the other angles up and subtract from 180 to find your answer which is 35 :)

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