1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dennis_Churaev [7]
3 years ago
11

Line segment has endpoints X(-10, -1) and Y(5, 15). To find the y-coordinate of the point that divides the directed line segment

in a 5:3 ratio, the formula was used to find that . What is the y-coordinate of the point that divides into a 5:3 ratio? 1 2 9 10

Mathematics
2 answers:
I am Lyosha [343]3 years ago
7 0

Answer:

9

Step-by-step explanation:

CB = 16

CY: YB = 5 : 3

CY = 10     YB = 6

CY : YB = AX : XB = 5 : 3

∴ y coordinate of X is 9

Verdich [7]3 years ago
3 0

Answer:

9

Step-by-step explanation:

Let's call P the point that divides the directed line segment in a 5:3 ratio

The x-coordinate of P is x1 + k*run

The y-coordinate of P is y1 + k*rise

where x1, y1 are the coordinates of X (the point on the left), these are x1 = -10 and y1 = -1.

k is computed as follows:

k = long part of XY/(long part of XY + short part of XY) = 5/(5+3) = 5/8

The run is the distance between X and Y on the x-axis,

run = 5 - (-10) = 15

The rise is the distance between X and Y on the y-axis,

run = 15 - (-1) = 16

Replacing into the previous equation:

The y-coordinate of the point that divides into a 5:3 ratio is = -1 + (5/8)*16 = 9

You might be interested in
Solve for x, where x is a real number.
Alex787 [66]

Hello!

First of all, let's undo the square roots by squaring both sides.

6x+2=9x-8

We subtract 9x from both sides.

-3x+2=-8

We subtract 2 from both sides.

-3x= -10

We divide both sides by -3.

x=10/3

I hope this helps!

7 0
3 years ago
Read 2 more answers
Please help, super hard question for me!
dem82 [27]

Answer:

Step-by-step explanation:

When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.

Solve the systems of equations using the substitution method

{y=2x+4

{y=3x+2

We substitute the y in the top equation with the expression for the second equation:

2x+4            =      3x+2

4−2              =        3x−2

2===             =         x

To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:

y= 2x + 4

We plug in x=2 and get

y=  2⋅2+4 = 8

The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.

Example:

2x−2y = 8

x+y = 1

We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:

2x−2y = 8

2x+2y = 2

Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:

(2x+2x)  + (−2y+2y) =  8+2

The y-terms have now been eliminated and we now have an equation with only one variable:

4x = 10

x= 10/4 =2.5

Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:

2⋅2.5−2y     =  8

5−8             = 2y

−3               =2y

−3/2            =y

y                 =-1.5

6 0
2 years ago
8. Write a multiplication expression<br> that you can use to find
dalvyx [7]

Answer:

random equation 8x5

Step-by-step explanation:

I really dont understand

8 0
3 years ago
Read 2 more answers
4x – 8(2 - x) when x = 1/4?
Hitman42 [59]

Answer: -13

Step-by-step explanation:

= 4*(1/4) - 8(2-1/4)

= 1-8(7/4)

= 1-14

= -13

6 0
3 years ago
Read 2 more answers
Is this true? And also how does the equation from y-3=3(x-4) become a positive <br> y+3=3x-12?
EastWind [94]

Step-by-step explanation:

the right equation is :

y-y1=m(x-x1)

y+3=3(x+4)

y+3= 3x+12

y=3x+12-3

y=3x+9

7 0
3 years ago
Other questions:
  • Which expression is equivalent to 144^3/2?
    14·2 answers
  • Write the number in the form a+bi square root of -64+2?
    5·1 answer
  • What is the solution of the equation. w - 8 = 5
    8·1 answer
  • Identify the axis of symmetry of the given quadratic<br> y= -3x^2 - 12
    14·1 answer
  • Assume that a cross is made between a heterozygous tall pea plant and a homozygous short pea plant. Fifty offspring are produced
    5·1 answer
  • Sonia is walking 2.5 miles home from school. She leaves at 4:00 P.M., and gets home at 4:45 P.M. Graph the line that represents
    7·1 answer
  • How do you solve linear equations (short definition)
    12·1 answer
  • On a certain day in Alaska, the probability of low seismic activity for the next 24 hours was reported to be about 1%. Use this
    10·1 answer
  • What is the measure of the angles? (Help pls)
    10·2 answers
  • (9,11)(9,3) find the slope and explain <br> please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!