3What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 5:1?
2
AK (7.2)
1
y =
m
m+
-)(x2 - wa) + v
2 3 4 5 6 7 8 9 10 11 x
-11
-2
-3
-4
-5
-8
0-5
0 0
O 6
ibd
-10
J (1,-10)

Answers

Answer 1

Answer:

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

Distance

If a point O(x, y) divides the line segment AB with end points A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, the coordinate of O is:

$x=(n)/(n+m) (x_2-x_1)+x_1\n\ny=(n)/(n+m) (y_2-y_1)+y_1$

Let O(x, y) represent the point dividing J to K in the ratio 5 : 1. K(7,2) and J(1, -10)Hence:

$y=(5)/(5+1)(2-(-10)) + (-10)=0$

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

Find out more on Distance at: brainly.com/question/17273444

Answer 2

Answer:

Answer:

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

$(x,y)=\left((mx_2+nx_1)/(m+n), (my_2+ny_1)/(m+n)\right)$

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

$y=(my_2+ny_1)/(m+n)\nm=5, n=1, y_1=-10, y_2=2\nTherefore:\ny=(5*2+1*-10)/(5+1)\n=(10-10)/(6)\n=0$

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

Related Questions

on a fishing trip camie and her friends covered 77 miles at an average speed of 28 miles per hour.How long did this trip take?
When is it helpful to use simpler numbers to solve a problem
Maria pies 8 1/3 pounds of beef to make tacos for party. she uses 5/9 pound of beef for each taco, how many tacos can Maria make?
Is 28/81 less than 7/9.Is 28/81 less than 4/9?
5{-3.4k-7} + {3k+21}

Write an expression to show 5 less than the sum of y and g.

Answers

The sum of y and g is

$y+g$

5 less than this is

$y+g-5$

Which equations are equal to 1/4 (8x+56) =20

Answers

Following are the calculation to the given equation:

Given:

$\to (1)/(4)(8x+56)=20$

To find:

x=?

Solution:

$\to (1)/(4)(8x+56)=20\n\n\to (8x)/(4) + (56)/(4)=20\n\n\to 2x + 14=20\n\n\to 2x = 20-14\n\n\to 2x= 6\n\n\to x=(6)/(2)\n\n\to x= 3$

Therefore, the final answer is "3".

Learn more:

brainly.com/question/23248705

2x+14=20

if u solve for x; 20-14=6 , 2x=6; x=3

Sybrina jogged 2 miles in 30 minutes. At this rate, how far would she jog in 90 minutes?At what rate did she jog each hour?

Answers

6 miles in 90 minutes and 4 miles per hour. 30 times two is 60 min so 2 miles times two is 4 miles.

another 30 min is 90 min and another two miles is 6 miles.

2miles per 30min - 2 to 3
90/30=3x2=6
6miles in 90min
She was jogging @ a 1mile per 15min but each hour it was 4mile per hour

Relationship B has a greater rate than Relationship A. The graph represents Relationship A.Which equations could represent Relationship B?

Choose all answers that are correct.
A. y = 3/4x

B. y = 0.6x

C. y = 2/3x

D. y = 1/4x

Help Meh

Answers

we know that

The rate of the Relationship is the slope of the function

Find the slope of the Relationship A

the slope is equal to

$m=((y2-y1))/((x2-x1))$

we have the points

$(4,2)\ and\ (8,4)$

Substitute in the formula above to find the slope

$m=((4-2))/((8-4))$

$m=(2)/(4)=0.5$

Compare the value of the rate of the Relationship A with each case

case a)

$y = (3/4)x$

In this case the rate of the equation is equal to $(3)/(4)$

Compare with the rate of the Relationship A

$(3)/(4)>(2)/(4)$

therefore

$y = (3/4)x$ -----> This equation could represent Relationship B

case b)

$y = (0.6)x$

In this case the rate of the equation is equal to $0.6$

Compare with the rate of the Relationship A

$0.6 > (2)/(4)$

$0.6 > 0.5$

therefore

$y = (0.6)x$ -----> This equation could represent Relationship B

case c)

$y = (2/3)x$

In this case the rate of the equation is equal to $(2/3)$

Compare with the rate of the Relationship A

$(2)/(3) >(2)/(4)$

Multiply by $12$ both sides

$8 > 6$

therefore

$y = (2/3)x$ -----> This equation could represent Relationship B

case d)

$y = (1/4)x$

In this case the rate of the equation is equal to $(1/4)$

Compare with the rate of the Relationship A

$(1)/(4) <(2)/(4)$

therefore

$y = (1/4)x$ -----> This equation could not represent Relationship B

therefore

the answer is

$y = (3/4)x$

$y = (0.6)x$

$y = (2/3)x$

Answer:

A,B,and C

I took the test but if you want a Step-by-step explanation comment below!

a gym holds one 60- minute exercise class on Saturday and several 45 minute classes lasted a total of 285 minutes. write a equation to find the number of weekday classes

Answers

Assuming the 45 min classes were on the weekdays, this is the equation I would use:

60+45a=285

Where 60 is the Saturday class, 45a are the 45 minute weekday classes times a amount of classes and 285 is the total amount of minutes.

Also, here is how to solve the equation to find the number of weekday classes, which is 5.
60+45a=285
-60 -60
45a=225
----- -----
45 45
a=5

Bruce is getting materials for a chemistry experiment. His teacher gives him an container that holds 0.25 liter of a blue liquid. Bruce needs to use 0.4 of this liquid for the experiment. How much blue liquid will Bruce use?