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Paladinen [302]
3 years ago
13

What are the coordinates of the point on the directed line segment from (1, -6) to (8, 8) that partitions the segment into a rat

io of 4 to 3?
Mathematics
1 answer:
vlada-n [284]3 years ago
3 0

9514 1404 393

Answer:

  (5, 2)

Step-by-step explanation:

Line segment AB is partitioned by point P into segments of the ratio m : n when point P satisfies ...

  P = (mB +nA)/(m+n)

Here we want ...

  P = (4(8, 8) +3(1, -6))/(4 +3) = (32 +3, 32 -18)/7 = (35/7, 14/7)

  P = (5, 2)

The point (5, 2) partitions the segment into a ratio of 4 : 3.

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Lubov Fominskaja [6]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Determine if AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are parallel, perpendicular, or neither. Given: A (−1, 3), B (0, 5), C (2, 1), D (6, −1)
dolphi86 [110]

Answer:

perpendicular

Step-by-step explanation:

To determine if AB and CD are  parallel, perpendicular, or neither, we need to get the slope of AB and CD first

Given A (−1, 3), B (0, 5),

Slope Mab = 5-3/0-(-1)

Mab = 2/1

Mab = 2

Slope of AB is 2

Given C (2, 1), D (6, −1)

Slope Mcd = -1-1/6-2

Mcd = -2/4

Mcd = -1/2

Slope of CD is -1/2

Take their product

Mab * Mcd = 2 * -1/2

Mab * Mcd = -1

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5 0
2 years ago
I would appreciate it if someone could help answer this problem:)
miskamm [114]

Answer:

Sum of Interior Angles = 900°

One Interior Angle = 128.57°

Step-by-step explanation:

We know that the figure is a Heptagon (a 7 sided polygon), therefore;

→ As by the formula of (n - 2) * 180° we can find the sum of the interior angles;

=> (n - 2) * 180 = Sum of Interior Angles

=> (7 - 2) * 180 = Sum of Interior Angles

=> 5 * 180 = Sum of Interior Angles

=> <u>900° = Sum of Interior Angles</u>

Now that we know the sum of interior angles,

→ We can find 1 interior angle by dividing the sum by the number of sides in the polygon.

=> Sum of Interior Angles / n = One Interior Angle

=> 900 / 7 = One Interior Angle

=> <u>128.57° = One Interior Angle</u>

Hope this helps!

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The price of the item is now $180
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2 years ago
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Which measure of central tendency to apply to the following sorted list of professional wrestlers weights 204,2011,215,253,277,3
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