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FinnZ [79.3K]
3 years ago
15

Point A is located at (2, 8) and point B is located at (8, 5). What point partitions the directed line segment ​ AB⎯⎯⎯⎯⎯ ​ into

a 1:3 ratio? (3 1/2, 7 1/4) (3 1/3, 4 1/3) (6 1/2, 5 1/4) (2 1/2, 3 1/4)
Mathematics
2 answers:
djverab [1.8K]3 years ago
8 0

Answer:

(3 1/2, 7 1/4)

Step-by-step explanation:

When the segments have the ratio 1:3, the shorter segment is 1/(1+3) = 1/4 of the total length.

The point P that divides the length that way will be ...

... P = A + (1/4)(B - A)

... = A - 1/4A + 1/4B

... = (3A +B)/4

... = (3(2, 8) +(8, 5))/4 = (14/4, 29/4)

... P = (3 1/2, 7 1/4)

Illusion [34]3 years ago
6 0

Answer:

3 & 1/2 AND 7 & 1/4

Step-by-step explanation:

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3 years ago
If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line in slope intercept form
aleksley [76]

Answer:

y=-2x+3

Step-by-step explanation:

Slope intercept form is y = mx + b where m is the slope, b is the y-intercept, and y and x are their respective coordinates.

The questions gives us a coordinate pair and a slope so all we need to find is the y-intercept to find the equation.

Begin by plugging in what we know.

(3) = (-2)(0) + b

3 = 0 + b

3 = b

Plug in the y-intercept (b) and slope (m)

y=-2x+3

6 0
3 years ago
I need help with this problem
Artist 52 [7]

Answer:

2nd answer

Step-by-step explanation:

6 0
3 years ago
the area of a rectangular volleyball court is 1800 square feet the courts length is twice it width write a system of equations t
Marianna [84]

Answer:

The dimensions of the rectangular volleyball court are 60 ft x 30 ft

Step-by-step explanation:

Let

x ----> the length of rectangular volleyball court

y ---> the width of the rectangular volleyball court

we know that

The area of the rectangular volleyball court is equal to

A=xy

A=1,800\ ft^2

so

1,800=xy ----> equation A

x=2y -----> equation B

substitute equation B in equation A

1,800=(2y)y

1,800=2y^2

Solve for y

Simplify

900=y^2

take square root both sides

y=30\ ft

<em>Find the value of x</em>

x=2y

substitute the value of y

x=2(30)=60\ ft

therefore

The dimensions of the rectangular volleyball court are 60 ft x 30 ft

7 0
3 years ago
EXPERTS AND ABOVE ONLY
yawa3891 [41]
1. This must be greater than or equal to 0 (there can't be any negatives!)
8 - .5t ≥ 0.
8 ≥ .5t 
t ≤ 16
D. 

2. 4(2x-1) = 2x + 35
8x - 4 = 2x + 35
6x = 39
x = 6.5
H.

3. c = .8(x-15) = .8x-12
A.

4. m = number of marble cupcakes
s = number of strawberry shortcake cupcakes

6m + 8.5s = 391
m = 1/2s
6(.5s)+8.5s = 391
11.5s = 391
s = 34
m = 17
F.

5. B
6. Use substitution
2x + 3x = 10
5x = 10
x = 2

7.  (sorry I'm not sure!)

8. G
9. L = number of balls
B = number of bats
L + B = 100
B = 100 - L
4.5L+20B = 822
4.5L + 20(100-L) = 822
4.5L -20L + 2000 = 822
1178 = 15.5L
L = 76

10. J

8 0
3 years ago
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