Find the ratio in which the point P(11, y) divides the line segment
Joining the points A(15,5) and B(9, 20). Also, find the value of y.​

Answers

Answer 1

Answer:

ratio: 2:1

y = 15

Step-by-step explanation:

The ratio would be 15-11:11-9 = 4:2 = 2:1

This is because you can subtract the x values of the two points with 11.

To find the value of y:

Figure out the equation of the line between the two points by putting it in the form y = mx + b where m is the slope and b is the y-intercept.

To find the slope, use change in y/change in x so:

20 - 5/9-15 = 15/-6 = 5/-2 = -2.5

That means the slope is -2.5, so you have:

y = -2.5x + b

since you know the point (15, 5) is a solution, you can plug x = 15 and y = 5 into the equation:

5 = -2.5 * 15 + b

5 = -37.5 + b

b = 42.5

The equation is: y = -2.5x + 42.5

Then, plug in x = 11 into the equation:

y = -2.5*11 + 42.5

y = -27.5 + 42.5

y = 15


Related Questions

help mee pleaseeeeeeas

Answers

the answer is 189 because 9 x 21 (width x height)

Answer:

Step-by-step explanation:

Volume = 1/2 a * b*h

So

V= 1/2 (9)(6)(21)= 567 us ^3

need help very fast pls

Answers

y = 1x -5


Hope this helps!!!

Answer:

Step-by-step explanation:

(0, -5) (5, 0)

(0 + 5)/(5 - 0)

5/5= 1

y + 5 = x - 0

y = x - 5

The mean age of 5 people in a room is 26 years.
A person enters the room.
The mean age is now 33.
What is the age of the person who entered the room?​

Answers

The mean age of 5 people in a room is 26 years. A person enters the room. the mean age is now 33 so the age of the person 68 who entered the room.

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.

So According to the question, the Mean of  5 people in a room =26

When a person enters the room mean age becomes = 33

The sum of their age is = 5*6 =130

when other persons enter the room means the total person becomes =6

and the sum of their age after another person enters the room= [tex]x+130[/tex]

where x is the age of the other person entering the room.

so, mean = 33= (130+x)/6

 then, 130+x=6*33

   And,130+x=198

so,x=198-130  =68

For more information about the mean visit:

https://brainly.com/question/21903586

#SPJ1

An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages

Answers

Answer:

5 yr and 39 yr

Step-by-step explanation:

Let x = the age of the younger

then 7x + 4 = the age of the older

Now x + 7x + 4 = 44

8x + 4 = 44

8x = 40

x = 5

7x + 4 = 7(5) + 4 =  35 + 4 = 39

Check:  5 + 39 = 44

I need help with 3/1 2 - 1/1 3​

Answers

Answer:3/

1

Step-by-step explanation: 0 < 2 < 3 = 3

0 is less than 2 is less than 3 is equal to 3

0/

1

< 2/

1

< 3/

1

= 3/1

h o p e      i t      h e l p s O_O

2.8 divide 6 estimate the quotient

Answers

Answer:

0.4666666666666667

Step-by-step explanation:

-extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the square or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D

Answers

Answer:

Step-by-step explanation:

please helpppppp!!!!!

Answers

9514 1404 393

Answer:

A + 2×BD - 2×C

Step-by-step explanation:

The shaded area contains area A and two of area B. The expression for that area can be written ...

  Area of trapezoid = A + 2×B

__

The overall rectangle has an area of D. The areas labeled C can be subtracted from that to leave the shaded area. The expression for that is ...

  Area of trapezoid = D - 2×C


[tex]7 {x}^{3} + 4x - 5 + 8 {x}^{5} [/tex]
What is the degree of the polynomial?

A. 0
B. 1
C. 3
D. 5​

Answers

Answer:

D

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of a term within the polynomial.

Given

7x³ + 4x - 5 + 8[tex]x^{5}[/tex]

The term with the largest exponent is 8[tex]x^{5}[/tex] with exponent 5

Thus the polynomial is of degree 5 → D

Can someone help me find this answer: tan12=22/x Please explain the steps

Answers

Answer:

Solve the rational equation by combining expressions and isolating the variable.

x=47.04630109.

Step-by-step explanation:

Brainliest to anyone who can answer and show working out :)

Answers

Answer:

d = 9

Step-by-step explanation:

solving for d

let's get ride of the fraction first so multiple the whole thing by 3

3= 1d - 6

add 6 to both sides

9 = d

easy peasy.

Solve for d 1/2+3/(2d)=-1/d
1
2
+
3
2
d
=

1
d
1
2
+
3
2
d
=
-
1
d
Move all terms not containing
d
d
to the right side of the equation

Help me find y intercept, slope, and linear function

Answers

Answer:

y=5 m=3

Step-by-step explanation:

i mean it shows you the y intercept and the slope and the linear function all in that one picture

Answer:

y-intercept = 5  

slope = -1/3

Step-by-step explanation:

Luke, Kira and Ali each served 2/3 of their own cake. Each cake was the same size, but luke served 4 slices, Kira served 6 slices and Ali served 8 slices. How is this possible?

Answers

Answer:

The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.

Step-by-step explanation:

It's possible because they cut cakes into different number of slices.

You know that Luke, Kira and Ali each served [tex]\frac{2}{3}[/tex] of their own cake and Luke served 4 slices, Kira served 6 slices and Ali served 8 slices.

Being x the whole slices of cake, and if Luke served [tex]\frac{2}{3}[/tex] of his cake, which are 4 slices, the whole slices of cake of Luke is:

[tex]\frac{2}{3}*x=4 slices[/tex]

Solving:

x= 4 ÷[tex]\frac{2}{3}[/tex]

x= 6

Then, whole slices of Luke's cake is 6.

Performing the same approach for Kira you get:

[tex]\frac{2}{3}*x=6 slices[/tex]

x= 6 ÷[tex]\frac{2}{3}[/tex]

x= 9

Then, whole slices of Kira's cake is 9.

Finally, performing the same approach for Ali you get:

[tex]\frac{2}{3}*x=8 slices[/tex]

x= 8 ÷[tex]\frac{2}{3}[/tex]

x= 12

Then, whole slices of Ali's cake is 12.

The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.

Linear system
x-y=9
X+2y=27 ​

Answers

x=15 and y=6

15-6=9
15+2(6)=27
2(6)=12

could someone help me out for number 5 please?

Answers

Answer:

she didnt multiply 5 times 12

WILL GIVE BRAINLIEST TO THE FIRST TO ANSWER!!!!!

Answers

Answer:

9 cm

Step-by-step explanation:

1/3x3=1

10-1=9

Jenna wants to build 8 birdhouses. She needs 2 3/5 square feet of plywood for each birdhouse. If the plywood costs $0.56 per square foot, how much will it cost Jenna to make her birdhouses?

Answers

Answer:

$11.76

Step-by-step explanation:

We first need to find the amount of plywood for all birdhouses.

2 3/5 * 8 = 104/5 or 20.8 or 20 4/5

Now we can solve the cost for all the birdhouses by multiplying the total amount of plywood needed by the price per square foot.

20.8 * 0.56 = $11.648 or estimated $11.65

Remember, the question might be different, so don't submit anything yet. If the people who sell the plywood only sell in integer numbers (meaning you can't buy 4/5 of a square foot of wood but can only by amounts with no fractions), then Jenna must buy 21 square feet of plywood and will have a little bit of wood left over. Now solve just like before.

21 * 0.56 = $11.76

Therefore the answer is $11.76 if she can only buy an integer amount of plywood or estimated $11.65. I think the best answer is 11.76.

A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion
A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.

Answers

Answer:D

Step-by-step explanation:

The number of hours, h, spent studying and the score, s, on a test. What is the dependent variable?

Answers

Answer:

The number of hours.

Step-by-step explanation:

The dependent variable is what you are mesuaring.

Suppose point A is located at (1, 3) on a coordinate plane. If AB is 10 and the x-coordinate of point B is 9, explain how to use the Distance Formula to find the y-coordinate of point B.

Answers

Answer:

y =9

Step-by-step explanation:

you know the distance is 10 and some of the x,y points. so start filling what you know into the distance formula

10= √((9-1)^2 + (y-3)^2 )

square both sides to get ride of the square root

100 = 64 + (y-3)^2

36 = (y-3)^2

6 = y-3

y = 9

double check by using 9 for Y and you'll see it works.

Please show work, i’ll mark as brainliest

Answers

Answer:

y=4

x=-3

Step-by-step explanation:

4(-3)-9y=-48

-12-9y=-48

-9y=-36

y=4

x=-3

Answer:

simple please follow me and mark it brainliest

Step-by-step explanation:

given 4x-9y=-48

x=-3

substituting value of x in given equation

We get

4(-3)-9y=-48

-12-9y=-48

-9y=-48+12

y=-36/-9

y=36/9

y= 4

PLEASE ANSWER ASAP !!!!

Answers

Answer:

probaly 2

Step-by-step explanation:

you have to figure out the slope.

y1 - y2/x1-x2

The rate of change for this graph would be M=1/2

In one year, the toll for passenger cars to use a tunnel rose from $3 to $3.50. What is the percent increase? Remember to round to nearest whole number.​

Answers

17% increase

Increase = 50
Original amount = 300

50/300 = 0.166
0.166 x 100 = 16.6 or 17 to the nearest whole number

help and get brainliest!!!​

Answers

Answer:

a

Step-by-step explanation:

Please help me :( I really need it.

Answers

Answer:

6

Step-by-step explanation:

since it's a right triangle you can use the Pythagorean Theorem

2.7² + b² = 6.5²

7.29 + b² = 42.25

b² = 34.96

b = [tex]\sqrt{34.96}[/tex] which equals 6 when rounded to the nearest tenth

 

Estimate 45.9 divided by 7

Answers

Answer:

6.557

Step-by-step explanation:

Answer:

6.557

Step-by-step explanation:

Hope this helps and have a great day!!!

A tree 16 feet tall casts a shadow which forms an angle of 40° with the ground. How long is the shadow to the nearest hundredth of a foot?

Answers

Answer:

x = 19.06 feet

Step-by-step explanation:

Given that,

The length of a tree, h = 16 feet

It casts a shadow which forms an angle of 40° with the ground.

We need to find the length of the shadow. We can find it using trigonometry such that x be the length of the shadow. So,

[tex]\tan\theta=\dfrac{h}{x}\\\\x=\dfrac{h}{\tan\theta}\\\\x=\dfrac{16}{\tan(40)}\\\\x=19.06\ \text{feet}[/tex]

So, the length of the shadow is 19.06 feet.

I have a D in math and need to bring my grade up!! Please help!! 32 pts!!!!

Answers

So I searched it up and this seems to be correct 1 2 4

please help if your able to (:

Answers

Answer:

4/9

Step-by-step explanation:

(2/3)^2 is another way of writing:

2/3*2/3

Which is 4/9

Hope this helps

Answer:

2/3*2/3      4/3

Step-by-step explanation:

Will mark brainliest if ur right! if not, u wont get it.

Answers

Answer:

(-4,4)

Step-by-step explanation:

I believe that's it

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