What are the cordinates of the point on the directed line segment from -3 -9 to 4 5 that partitions the segment into a ratio of 5 to 2

Answers

Answer 1

Answer:

[tex](x,y) = (2,1)[/tex]

Step-by-step explanation:

Given

Coordinate: (-3,-9) and (4,5)

Ratio= 5 : 2

Required

Determine the point at the segment

The coordinate of the point is calculated using:

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

Where:

[tex]m : n=5:2[/tex]

[tex](x_1,y_1) = (-3,-9)[/tex]

[tex](x_2,y_2) = (4,5)[/tex]

So, we have:

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

[tex](x,y) = [\frac{5 * 4 + 2 * -3}{5+2},\frac{5*5+2*-9}{5+2}][/tex]

[tex](x,y) = [\frac{14}{7},\frac{7}{7}][/tex]

[tex](x,y) = (2,1)[/tex]

The coordinate of the point is: (2,1)


Related Questions

y= x+14 , x+ 2y= 36, find x and y and show solution pls

Answers

Answer:

Solve the equation for x.

The simplified system is the arbitrary solution of the original system of equations.

Y=x+14

y=18−x2

Reorder 18

and −x2.

y=−x2+18

Y=x+14

Solve the equation for Y.

Y=−2y+50

x=36−2y

Reorder 36

and −2y.

x=−2y+36

Y=−2y+50

Step-by-step explanation:

Step-by-step explanation:

given

[tex]y = x + 14 \\ y - x = 14 \\ - x + y = 14[/tex]

as equation 1

and

[tex]x + 2y = 36[/tex]

as equation 2.

We will now use elimination method to solve simultaneous equations.

We will use equation 1 + equation 2 to eliminate x and solve for y.

[tex] - x + x + y + 2y = 14 + 36 \\ 0 + 3y = 50 \\ 3y = 50 \\ y = 50 \div 3 \\ = \frac{50}{3} \: or \: 16 \frac{2}{3} [/tex]

Now substitute y into equation 1.

[tex]y = x + 14 \\ x + 14 = y \\ x = y - 14 \\ x = 16\frac{2}{3} - 14 \\ = 2 \frac{2}{3} [/tex]

What would be the next step?

We are trying to prove that BD bisects angle ADC.

Answers

Answer:

6.∠ADB = ∠BDC reason :(CPCTC)

7.BD bisects ∠ADC reason :(From statement 6)

Hope it helps you........

HELP PLEASE JJFFNFNFNF

Answers

Answer:

A.

17 vs 18, not true

B.

True

C.

Mean:

(4*5 + 5*3 + 6*2 + 12 + 13*4 + 14*2)/17 = 8.17

Median:

6

Mean ≠ median, not true

D.

14 - 4 = 109 - 3 = 6, 10 > 6, not true

Answer:

B

Step-by-step explanation:

Option B is correct because from the data it's visible that all the data are around 6 miles in other words clustered. In Class A half of them are on left and half are on right. Option A is wrong because there are 17 students in class A and 18 students in class B.

Option C is wrong because the mean is 8.2 and the median is 6.

To find mean add up all the miles the students chose and divide by total students (4+4+4+4+4+5+5+5+6+6+12+13+13+13+13+14+14)/17 = 8.2

To find the median line up all the numbers and find the one in middle. It's 6.

Option D is wrong because the range for class A is (14-4)=10

and class B is (9-3)=6. So the range of class A is greater than class B.

To find range maximum value-minimum value

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x = 54

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 36 + 90 = 180

x + 126 = 180

x = 180 - 126

x = 54

A scientist was in a submarine, 27.4 feet below sea level, studying ocean life. Over the next ten minutes, she went down 23.8 feet. How many feet was she now below sea level?

Answers

Answer:

She was initially at a depth of 24.7 feet before she rose

Step-by-step explanation:

Last summer, a sports club had 370 members. This summer, due to some renovations, it has
10% fewer members. How many members are there now?
members
Submit

Answers

Answer:

333 members

Step-by-step explanation:

10% of 370 is 37

370-37=333

simplify the expression ​

Answers

Answer:

[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}[/tex]

Step-by-step explanation:

We have the expression:

[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x}[/tex]

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x

We will get:

[tex](\frac{2}{2} )\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x}[/tex]

Now we can directly add the terms to get:

[tex]\frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x} = \frac{x - 6}{4*x}[/tex]

We can't simplify this anymore

Can you fill in the blanks. Thx

Answers

Answer:

Answer is below

Step-by-step explanation:

Please help me 20 points for whoever can answer this correctly
If GH = 7x + 18 and JK = 81, find x.

38.64
55
14.14
9

Answers

ANSWER:
X=9

STEPS:
81=7x+18

Subtract 18 from both sides

63=7x

Divide both sides by 7

X=9


PLEASE MARK ME BRAINLIEST

The number of pancakes y is proportional to the cups of pancake mix x that is used to make the pancake batter. The pancake batter will make 10 pancakes when 2 cups of pancake mix is used. Write an equation that represents the situation.

Answers

Answer:

y=5x

Step-by-step explanation:

10=m x 2

m=5

Brainliest?

Answer: For the first one, it’s y=5x and even though you didn’t put it, for the second question, it’s 30 dollars

Step-by-step explanation:

1. 10/2=5. Y=5x

2. 5*5 = $25.00

I NEED HELP ASAPPP! PLEASEEE

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,,

Step-by-step explanation:

l

the answer would be 111

Plz help me!!!!!!!!! Btw I am also doing it bc when u select the box you have to answer the fraction but I can do that!

Answers

Answer:

1) B

2) A

Hope it Helps!

:)

What is the volume of a sphere with a radius of 24 units?

Answers

Answer:

V≈57905.84

Step-by-step explanation:

Please see attachment below, 40 points!!!

Answers

Answer: I would say 68 i believe this because if i do remember correctly you have to make it equal 192 and 68 did that.

Step-by-step explanation: Sorry if im wrong.

Self-confidence is an attitude about your skills and abilities. It means you accept and trust yourself and have a sense of control in your life. You know your strengths and weakness well, and have a positive view of yourself. You set realistic expectations and goals, communicate assertive

I am not sure how to solve this. I have tried many times.

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,,

is it possible to form a triangle with the given side lengths? 15 yd,16yd,30yd

Answers

Answer:

Yes

Explanation:

15 < 16+30

16 < 15+30

30 < 16+15

Yes it is possible to form a trial for

QUICK whoever gives the correct answer gets Brainliest

Answers

Answer:

72.3%

Step-by-step explanation: multiply .723x100 to get 72.3 because your looking for the percent(multiply by 100 when your trying to find what something is as a percent)

The red line and the blue line buses both stop at the football stadium. A red line bus and a blue line bus both left the stadium at 6:00 p.m. red line buses are scheduled to leave the stadium every 6 minutes. blue line buses are scheduled to leave the stadium every 8 minutes. If the buses run on schedule, when is the next time a red line and a blue line bus will leave together?

A.6:24 pm
B6:36 pm
C.6:48 pm
D. 7:00

Answers

Answer:

A - 6:24

Step-by-step explanation:

a movie theater has 15 rows of State each rows have 24. if there where 28 empty seats during one show how many people where there?

Answers

Answer:

332

Step-by-step explanation:

To find how many seats there were, multiply the number of rows with the number of seats in each row:

15 (24) = 360

From these total seats, there are 28 empty seats, meaning:

360 - 28 = 332

There were 332 people.

Which factors most influence whether a person will develop Alzheimer's disease?

O

o

O

O

the person's environment and social interaction

the person's genetics and environment

the person's gender and age

the person's salt intake and stress level

Mark this and return

Save and Exit

Submit

Answers

Answer:

Genetics and Age

Step-by-step explanation:

The disease is hereditary meaning it gets passed down from past generations.

Answer:   The correct answer is the genetics and environment

Step-by-step explanation:   According to the NHS, all of these options could contribute to Alzheimer's disease, though hereditary genetics and the environment are more significant factors. Confirmed correct.

Find the m Angle J if m Angle K = 29° and they are complementary angles.

Answers

Answer:

∠J = 61º

Complimentary angles are angles that add up to 90º

∠J = 90º - ∠Kº

= 90º - 29º

=61º

HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

Exact Form:

x= -9±[tex]\sqrt{17}[/tex] / 16 (over 16)

Find the value of x in the triangle shown below.
27
2
98

Answers

Answer:

Step-by-step explanation:

When y varies proportionally with x, what is k when x = 50 and y = 375?

Answers

Answer:

x/375=50/100 if its a percent

Step-by-step explanation:

Hey! Can someone help me with this! Please thank u!

Answers

Step-by-step explanation:

1. vertical opposite angles

2. corresponding angles

3. alternate interior angles

4. alternate exterior angles

5. corresponding angles

6. vertical opposite angles

7. alternate exterior angles

8. vertical opposite angles

9. corresponding angles

10. alternate exterior angles

Michelle earns $250 a week as a waitperson plus tips. Her tips average 28% of her customers’ total bills. Last week, the total for all her customers’ bills was $4,275.00. Find her earnings for last week.
A)$1,447
B)$1,197
C)$1,267
D)$4,525

Answers

Answer:

1 Week = $250

Tips= $4275*28% = $1197

Total Earnings= $250+$1197 = $1447

If a 50 kg car accelerates at a speed of 10 miles per second squared, what will the force of the car be? (Remember: Force = mass x acceleration) *

Answers

Answer:

500N

Step-by-step explanation:

Given data

Mass m= 50kg

Acceleration a= 10m/s^2

We know that the expression for the force is

F=ma

Substitute

F= 50*10

F= 500N

Hence the applied force is 500N

how do you solve this?

Answers

Answer:

x=110(by vertical opposite angle)

A hawk soars 120ft in the sky. Nearby, a small rabbit munches clover. If the angle of depression from the hawk to the rabbit is 35. degrees, what is the distance between the hawk and the rabbit?

Answers

Answer:

5

Step-by-step explanation:

Divide and answer in simplest form 1/2 divider by 4

Answers

Answer:

A [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex]÷4=[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{4}[/tex]=[tex]\frac{1}{8}[/tex]

Dividing by four is also the same as multiplying by it's reciprocal which is [tex]\frac{1}{4}[/tex].

Answer:

1/8

[tex]\frac{1}{2}[/tex] ÷ 4

[tex]\frac{1}{2}[/tex]÷[tex]\frac{4}{1}[/tex]

The second fraction flips.

[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{4}[/tex]

Multiply across.

[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{8}[/tex]

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