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Dovator [93]
3 years ago
14

What are the coordinates of the3/4point of the way from A(-6, -3)to B(10,9)?​

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Answer:

The coordinates of the point are (6, 6).

Step-by-step explanation:

Find the difference in x-coordinates.

10 - (-6) = 16

Find 3/4 of the difference in x

3/4 * 16 = 3/4 * 16/1 = 48/4 = 12

Add 12 to the x-coordinate of point A.

-6 + 12 = 6

The x-coordinate is 6.

Now we do the same for the y-coordinates.

Find the difference in y-coordinates.

9 - (-3) = 12

Find 3/4 of the difference in y

3/4 * 12 = 3/4 * 12/1 = 36/4 = 9

Add 9 to the y-coordinate of point A.

-3 + 9 = 6

The y-coordinate is 6.

Answer: The coordinates of the point are (6, 6).

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dimaraw [331]
24 is the answer good luck

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slega [8]
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3 years ago
Find the slope of the line passing through the points (8,-6) <br> and (4,-8)<br> .
Murljashka [212]

Answer:

1/2 is the slope of the line

Step-by-step explanation:

To find slope, use the following equation

slope (m) = (y₂ - y₁)/(x₂ - x₁)

First, set each coordinate. Let:

(x₁ , y₁) = (8 , -6)

(x₂ , y₂) = (4 , -8)

Plug in the corresponding numbers for the corresponding variables.

m = (y₂ - y₁)/(x₂ - x₁)

m = (-8 - (-6))/(4 - 8)

Simplify. Note that two negative signs would result in a positive sign.

m = (-8 + 6)/(4 - 8)

Combine like terms.

m = -2/-4

Simplify. Divide common factors from both the numerator and denominator.

m = (-2/-4)/(-2/-2) = 1/2

1/2 is the slope of the line

~

4 0
3 years ago
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the bo
My name is Ann [436]

if 1 inch is added, you would add 2 inches to to each side of rectangle.  

You would have: W+2, and, L+2,  

Now let W+2 = x and, L+2 = y  

Total area =  x*y=M  

If 1 inch is added again, like above you add 2 inches to both sides, you would then have:

(x+2)(y+2)=M+52;  

xy+2x+2y+4=M+52;  

xy=M

2x+2y=48  

x+y=48/2=24  

Now solve :

W+2+ L+2=24  

W+L=20  

The perimeter is 2(W+L)=20*2 = 40 inches.

6 0
3 years ago
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