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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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6 0
3 years ago
What is the answer for 5x-2x+8=2+6x+6?
Ede4ka [16]

5x - 2x + 8 = 2 + 6x + 6


Add like terms:

5x - 2x = 3x

2 + 6 = 8


3x + 8 = 6x + 8


To isolate the variable, subtract 6x from both sides of the equation:

3x - 6x = -3x


-3x + 8 = 8


Now subtract 8 from both sides:

8 - 8 = 0


-3x = 0


To finish, divide both sides by -3:

0 ÷ -3x = 0


The answer is x = 0


Hope this helps.

3 0
3 years ago
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According to the properties of inequality, when should the inequality symbol be reversed when solving a two-step inequality in t
julsineya [31]
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6 0
3 years ago
A family is purchasing a house and needs to finance a 195,000 mortgage from the bank with an annual percentage rate (APR) of 5.3
maksim [4K]

Calculate the monthly payment:

195,000 x ( (0.05/12)x1+0.053)^12)/(1+0.053)^12-1)

Monthly payment = 1,082.84

Multiply monthly payment by 12 to get one year: 1082.84x 12 = 12994.08

Now multiply by 30 years:

12994.08 x 30 = 389822.40

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4 0
3 years ago
Someone please help me this will be a lot of points and I will follow u and Mark u the brainiest​
Reika [66]

Answer:

option D; 20/3 OR 6 2/3

Step-by-step explanation:

CONVERT THE HOURS INTO MINUTES;

3/4 × 60 = 45 mins

1hour = 60 mins

45 mins = 5 miles

60 mins = ??

cross multiply;

60 by 5 ÷ 45 to get 20/3.

5 0
3 years ago
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