Find the coordinates of point M, that partitions the directed line segment SY from S(4,2) to Y(-4,-6) in a ratio of 1/3.

Answers

Answer 1

Answer:

the coordinates of  point M = (2,0)

Step-by-step explanation:

Given;

point S along the segment, = S(4,2)

point Y along the segment, = Y(-4, -6)

ratio of the partition = ¹/₃

total ratio = 1 + 3 =  4

The midpoint of segment SY is calculated as follows;

[tex]mid-point (o) = \frac{x_1 + x_2}{2} ,\ \frac{y_1 + y_2}{2}\\\\ mid-point (o) = \frac{4 + (-4)}{2} , \ \frac{2+ (-6)}{y} \\\\mid-point (o) = \frac{0}{2} , \ \frac{-4}{2} \\\\mid-point (o) = (0, \ -2)[/tex]

The coordinates of point M is calculated as follows;

point M divides the segment into 4 equal parts with point O as the mid-point.

                M

S--------------|-------------------O-------------------|-------------------Y

|SO| = |OY|

[tex]The \ mid-point \ of \ SO = M\\\\Point \ S = (4,2) \\\\Point \ O = (0,-2) \\\\Point \ M = \frac{4 + 0}{2}, \frac{2 - 2}{2} \\\\ Point \ M = 2, 0 \\\\M = (2,0)[/tex]

Therefore, the coordinates of  point M = (2,0)


Related Questions

Which two lines are parallel? (Reading the lines from left to right, identify them as left, middle, or right) What is the slope for the parallel lines? Coordinates: Left (-3,1), (0,3); Middle (-5,-3), (1,1); Right (-1,-3), (3,0) The 1) and 2) lines are parallel. 3) The slope is .

Answers

Answer:

The 1) and 2) lines are parallel.

Step-by-step explanation:

p(u) =u³+3u²-12u+4 and g(u)=u-2


divide and find quotient and remainder​

Answers

Answer: U^2+5u-2


Explanation

The quotient and remainder of the polynomial after division are u²+5u-2 and 0 respectively.

What are polynomials?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Given is a polynomial p(u) =u³+3u²-12u+4  which is to be divided by g(u)=u-2

When we divide the polynomial, we get,

Quotient = u²+5u-2

And for this remainder will be zero

Hence, the quotient and remainder of the polynomial after division are u²+5u-2 and 0 respectively.

Learn more about polynomials, click;

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Question 2
5 pts
1. It was 8 degrees at nightfall. The temperature dropped 10 degrees by
midnight. What was the temperature at midnight?
[Select]
2. A diver is 25 feet below sea level. After he swims up 15 feet toward the
surface, what is his elevation?
[ Select ]

Answers

Answer:

1. -2 degrees

2. 10 feet below sea level

Step-by-step explanation:

In the first half of the basketball season, Jean made 15 free throws out of the 25 free throws she attempted, for a free-throw shooting percentage of 60%. How many consecutive free-throw shots would Jean have to make to raise her free-throw shooting percentage to 80%?

Answers

Answer:

She has to make 25 consecutive free throws

Step-by-step explanation:

Let the number of consecutive throws be x

So, that would mean the number of free throws would total 25 + x

while the number of free throws made would be 15 + x

So for us to have an 80% raise ;

That would mean;

(15 + x)/(25 + x) * 100 = 80

100(15 + x) = 80(25 + x)

1500 + 100x = 2000 + 80x

2000-1500 = 100x-80x

20x = 500

x = 500/20

x = 25

Answer:

She has to make 25 consecutive free throws

Step-by-step explanation:

Let the number of consecutive throws be x

So, that would mean the number of free throws would total 25 + x

while the number of free throws made would be 15 + x

So for us to have an 80% raise ;

That would mean;

(15 + x)/(25 + x) * 100 = 80

100(15 + x) = 80(25 + x)

1500 + 100x = 2000 + 80x

2000-1500 = 100x-80x

20x = 500

x = 500/20

x = 25

Step-by-step explanation:

please help!!! will mark brainliest

Answers

Answer:

x = 15

Step-by-step explanation:

Since the quadrilateral is inscribed into circle, its opposite angles are supplementary:

m∠H + m∠K = 180°

Substitute the values and solve for x:

5x - 22 + 8x + 7 = 18013x - 15 = 18013x = 195x = 195/13x = 15

Answer:

Solution ::

According to the property of Cyclic Quadrilateral

5x - 22 + 8x + 7 = 180

(5x + 8x) - (22 - 7) = 180

13x - 15 = 180

13x = 180 + 15

13x = 195

x = 195/13

x = 15

[tex] \\ [/tex]

Deandre wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Deandre
could trim trees?
E
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

8 hours for the possible numbers of house

please help me OMggggG

I need answers rnn before Tuesday ​

Answers

All angles make up 540°.

Use an algebra expression to clarify this.

9x+7x+15+5x-25+6x+25+6x-3=540

Add like terms.

33x+12=540

33x=528

x=16

Write the domain of
Y= x+1/
(x+2)(x+10)

Answers

(-∞,-10)∪(-10,-2)∪(-2,∞)

Or

[tex]\left\{x|x\ne-2,-10\right\}[/tex]

Both are correct.

A student evaluated -4+x for x = -9 1/2and got an answer of 5 1/2? What might th student have done wrong.

Answers

Answer:

Step-by-step explanation:

Expression evaluated by the student is,

(-4 + x)

For x = [tex]-9\frac{1}{2}[/tex]

Value of the expression will be,

(-4 + x) = [tex]-4+(-9\frac{1}{2})[/tex]

           = [tex]-4-9-\frac{1}{2}[/tex]

           = [tex]-13-\frac{1}{2}[/tex]

           = [tex]-13\frac{1}{2}[/tex]

While student evaluated the value of the expression as [tex]-5\frac{1}{2}[/tex].

Mistake done by the student may be in the first step [tex][-4+(-9\frac{1}{2})][/tex].

He might have subtracted [tex](-9\frac{1}{2})[/tex] from (-4).

What is the answer? Help

Answers

Answer:

2, because it does not have a variable!

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

The answer is 3, I hope this helps!

BRAINIEST ANSWER
FIND THE VOLUME AND ROUND TO THE NEAREST TENTH :)))
Please help

Answers

Answer: 3,150 ft.

Step-by-step explanation: multiply all sides together

I need help to identify them like for example SAS,SSS,ASA etc.​

Answers

Answer:

AASRHSASA

Step-by-step explanation:

AAS means 2 angles and a non-included side are congruent.RHS means the hypotenuse and the sides of the right-angled triangle are congruent (only applies to right-angled triangles).ASA means 2 angles and that one side between them are congruent.

What is the median. I have 3 more questions that have to deal with the median.

Answers

Answer:

47.5

Step-by-step explanation:

Median - The middle number in a list of numbers starting from least to greatest.

Knowing this, we can start.

The first step is to rewrite all the numbers from least to greatest

15, 19, 28, 32, 43, 52, 66, 72, 72, 81

Now cross off a number from the least and greatest until there is 1 or 2 numbers left

19, 28, 32, 43, 52, 66, 72, 72

28, 32, 43, 52, 66, 72

32, 43, 52, 66

43, 52

If you are left we 1 number, that is your answer. If you are left with 2 numbers, there is an extra step

In the case that you have 2 numbers, you need to add them together, and divide by 2

43 + 52 = 95

95 ÷ 2 = 47.5

Thus 47.5 is our answer

In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the equation F=ma.

Using this formula, what is the acceleration of an object with F=7.92 newtons and m=3.6 kilograms? Express your answer to the nearest tenth.

Note: The unit for Force (the Newton) is measured in .




Answers

Answer:

2.2

Step-by-step explanation:

if force equals mass times acceleration then you divide 7.92(the force) by 3.6(the mass) to find out what would be multiplied by 3.6 to get 7.92.

Sorry if I'm wrong.

The acceleration of an object with F=7.92 newtons and m=3.6 kilograms is 2.2 m / s²

What is force:

Force is a pull or push upon an object that causes motion .

Mathematically, force is express as follows:

F = ma

where

m = mass

a = acceleration

Force is measured in Newton.

Let's find the acceleration of an object with F =7.92 newtons and m = 3.6 kilograms.

7.92 = 3.6a

divide both sides by 3.6

a = 7.92 / 3.6

a = 2.2 m / s²

learn more on force here: https://brainly.com/question/11115735?referrer=searchResults

5. photo album: $25.50, 10% markup

Answers

Answer:

$28.05

Step-by-step explanation:

If you want to find how much the photo album is after the markup, you first have to find 10% of the original price. 10% of $25.50 is $2.55, so you add $2.55 and $25.50 to find the price after the markup.

Hope this helps!

In a bag, there are 6 blue, 1 purple, 3 yellow, and 5 orange marbles. If a single choice is made from the
bag, find the probability of choosing a yellow marble

Answers

Answer:

it would be a 3/15 or 1/5 chance

Step-by-step explanation:

Answer:

Its 3/15 which is 1/5. The percentages are 20%.

Step-by-step explanation:6+1+3+5=15

yellow marbles:3/15

Simplified version:1/5.

And the percentages is 20%

write the equation for an exponential function, in the form y=axb

Answers

f(x) = 3x

Hope this helps

HELP PLSSs plssssssss helpppp it’s math plsssssss

Answers

Answer:

17°

Step-by-step explanation:

Complementary must add up to 90°

therefore, 90-73

Answer:

solution given:

x+73=90° complementary

x=90-73

x=17°

x=17°

Eva signs up for dance classes. She pays a one-time registration fee and then the same monthly tuition. Eva pays $110 the first month and at the end of 9 months has paid $670 in all. Which equation can be used to model the tuition and registration fees?
А. y - 110 = 70(x - 1)
B. y - 70 = 110(x - 1)
C. y - 670 = 70(x - 1)
D. y - 9 = 70(x - 670)

Answers

Answer:

А. y - 110 = 70 (x - 1)

Step-by-step explanation:

А. y - 110 = 70 (x - 1)

The answer is A hope this helps

Plz help! Sam had an appointment 90 miles away from home at 2pm. He drove there at 60 mph, and was 15 minutes late. What time did Sam start driving at?

Example: 1:50

Answers

Answer:

12:45 pm

Step-by-step explanation:

First we find out the amount of time it takes to drive 90 miles at 60 mph.

speed = distance/time

time * speed = distance

time = distance/speed

time = 90 miles / 60 mph

time = 1.5 hour = 90 minutes

It takes 1.5 hour, or 90 minutes, to drive 90 miles at a speed of 60 mph.

To get there at 2:00 pm, he should have left at 12:30 pm.

He got there 15 minutes late, so he must have left 15 minutes late.

He left at 12:45 pm.

Answer: 12:45 pm

*
30 35 40
45 50 55 60
65 70 75
80


c. Determine the median

Answers

Answer:

median is 55

Step-by-step explanation:

Can somebody help me??

Answers

Your answer would be 10 please trust me!! I’ve done that before ):

Which is true about the mapping shown below?

Answers

the answer is c because of the reasoning it gives

Answer:

The answer is going to be C.

An atom has 3 protons and 4 neutrons and 2 electrons, what is the overall charge on this atom
NOOOO LINKS OR I WILL REPORT

Answers

Answer:

+1

Step-by-step explanation:

Each Proton is +1

Each Neutron is 0

Each Electron is -1

1+1+1+0+0+0+0-1-1=1



1.) Max is driving 42 miles per hour. A dog dog runs into the street and max reacts in about three quarters of a second. What is his approximate reaction distance

Answers

Answer: [tex]14.07\ m[/tex]

Step-by-step explanation:

Given

Max is driving at a speed of [tex]42\ mph[/tex]

It took him three-quarters of a second i.e. [tex]0.75\ s[/tex]

Speed in meter per second is [tex]18.77\ m/s[/tex]

Distance is given by

[tex]d=v\times t[/tex]

Reaction distance is

[tex]d=18.77\times 0.75=14.07\ m[/tex]

given m||n, find the value of x​

Answers

Answer:

x= 154°

I hope it's helps you

Answer:

x=154

Step-by-step explanation:

The figures provides us with a variable and the number 154.

In this situation, the value of x and the given angle are  corresponding angles.

The theorem of corresponding angles states that if a transversal is cut by two parallel lines the corresponding angles are CONGRUENT.

When an angle is congruent, they are equal to each other.

So in this case, x=154, x≅154.

Hope it helps! :)

What is the area of the rectangle, in square feet?
9 ft
20 ft
29
58
ОООО
120
180

Answers

9 * 20 will be 180 ft^2 so 180 is your answer

ANSWER PLS
NO LINKS AT ALL ​

Answers

Answer:

David (1), Billy (2), Allen (5), Conner (7).

Step-by-step explanation:

Use M.A.D to find variability. Basically the higher the M.A.D, the greater the variability. And I don't know for sure, so if wrong tell me.

The stock price of a company was $25. The stock price fell to $20. Which is the closest to the percent decrease in this stock price?

Answers

Answer:

20%

Step-by-step explanation:

25-20=5

25/5=5

100/5=20

Bryson has soccer practice for 2 1/4 hours 2 times a week. How much time does Bryson spend at soccer practice in 1 week?

Answers

Answer:

4 1/2 hours

Step-by-step explanation:

1 practice = 2 1/4 hours

2 practices = 4 1/2 hours

Answer: hewo, there! your answer is below

4 2/4  Hours would be my answer

Step-by-step explanation:

Bryson has soccer practice for 2 \frac{1}{4} hours 2 times a week. Bryson spend 4 \frac{2}{4} hours at soccer practice in 1 week

Hope this helps you!

Have a greay day!!

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