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ELEN [110]
3 years ago
10

Point R divides Line EF in the ratio 1 : 5. If the coordinates of E and F are (4, 8) and

Mathematics
1 answer:
larisa [96]3 years ago
4 0
The horizontal distance between E and F is:
dx = 11 - 4 = 7

The vertical distance between E and F is:
dy = abs (4 - 8) = 4

Since the ratio is 1:5, that means there are 6 equal parts of line EF. Dividing the distances by 6,
dx/6 = 1.1667
dy/6 = 0.6667

Since point R is located below and to the right of point E, we add dx/6 to the x coordinate and subtract dy/6 from the y coordinate of E:
R(4+1.1667, 8-0.6667) = R (5.17, 7.33)

The answer is the 3rd option.
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radius = 49/2

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3 0
3 years ago
There are three consecutive integers. The sum of the first two is 51 more than the third. Find the integers.
Sauron [17]

Answer:

52,53,54

Step-by-step explanation:

x, x+1, x+2

2x+1=x+53

x+1=53

x=52

x+1=53

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3 0
3 years ago
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It would take 15 hours.
3 0
3 years ago
A survey asks 1000 workers has the economy forced you to reduce the amount of vacation
Leto [7]

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Step-by-step explanation:

7 0
3 years ago
La ecuación de la recta que pasa por los puntos (2,-1) y (1,-5) es:
77julia77 [94]

Given:

A line passes through the points (2,-1) and (1,-5).

To find:

The equation of the line.

Solution:

If a line passes through the two points, then the equation of the line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is

y-(-1)=\dfrac{-5-(-1)}{1-2}(x-2)

y+1=\dfrac{-5+1}{-1}(x-2)

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y+1=4(x-2)

Using distributive property, we get

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y+1-1=4x-8-1

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Therefore, the correct option is B.

5 0
3 years ago
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