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earnstyle [38]
2 years ago
8

A point T on a segment with endpoints D(1, 4) and F(7, 1) partitions the segment in a 2:1 ratio. Find T. You must show all work

to receive credit. ​
Mathematics
1 answer:
Phoenix [80]2 years ago
4 0

Using proportions, it is found that the coordinates of point T are given as follows: T(5,2).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, point T partitions the segment DF in a 2:1 ratio, hence:

T - D = \frac{2}{2+1}(F - D)

T - D = \frac{2}{3}(F - D)

This is applied for both coordinates, hence, for the x-coordinate:

x - 1 = \frac{2}{3}(7 - 1)

x - 1 = 4

x = 5

For the y-coordinate:

y - 4 = \frac{2}{3}(1 - 4)

y - 4 = -2

y = 2.

Hence, the coordinates of point T are: T(5,2).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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What is n+ 7over10=-1over10
Karo-lina-s [1.5K]

Answer:

- 4/5

Step-by-step explanation:

Step 1:

n + 7/10 = - 1/10

Step 2:

n = - 1/10 - 7/10

Answer:

n = - 4/5

Hope This Helps :)

8 0
3 years ago
Find the equation of the line that contains the points (4,2) and (6,10). Write the equation in the form y=mx+b and identify m an
Fantom [35]
Points (4,2) and (6, 10)

Eqn:
y - y = m(x - x)
y - 2 = [(2-10)/(4-6)] (x - 4)
y - 2 = (-8/-2) (x - 4)
y - 2 = 4(x-4)
y - 2 = 4x - 16
y - 2 + 2 = 4x - 16 + 2
y = 4x - 14

Therefore the slope (m) would be 4 and the y intercept (b) would be -14.
3 0
3 years ago
Find the value of x. Round the length to the nearest meter
Oksana_A [137]

Answer:

we need a picture to help

7 0
3 years ago
The width of a rectangle measures (3v-3w) centimeters, and its length measures (5v-9w) centimeters. Which expression represents
Alex17521 [72]

Answer: The Perimeter of the rectangle, P= 16v −24w

Step-by-step explanation:

Perimeter of a rectangle  = 2( L +W) =   2L + 2W

The width of a rectangle is given as  (3v-3w) centimeters,

its length is given as (5v-9w) centimetres

The Perimeter,P will now be  = 2L + 2W

P=2( 3v-3w) + 2( 5v-9w)

P=6v  −6w + 10v  - 18 w

 adding like terms

P=6v + 10v  −6w −18 w

P= 16v −24w

3 0
3 years ago
Which set of ordered pairs represents a function?
Papessa [141]

Answer:

{(3,6),(2,1),(-8,4),(2,0)}

Step-by-step explanation:

when determining if a set of points is a function

determine if any of the x values or y values repeat. if they do then it is not a function because it will not pass the function like test. (which is where you can draw a line trough the function and it will hit more than once.

none if the x values repeat and none if the y values do either.

x values : 3,2,-8,2

y values: 6,1,4,0

8 0
3 years ago
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