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Arlecino [84]
2 years ago
12

The point B lies on the segment AC.

Mathematics
1 answer:
svet-max [94.6K]2 years ago
4 0

Answer:

(9, -5)

Step-by-step explanation:

The vector AC has coordinates (27, -18), because:

21 - (-6) = 27

-13 - 5 = -18

If the ratio of AB to BC is 5 to 4, it means that

AB = [5/(5+4)]AC = (5/9)AC

Therefore, we have

AB = (5/9)AC = (5/9) (27, -18) = (15, -10)

Which means that:

xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9

yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5

So B has coordinates (9, -5).

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2x – 3y = -5
vampirchik [111]

Answer:

y = 3

Step-by-step explanation:

2x-3y = -5 --------- (1)

y = 2+x ------- (2)

substitute (2) into (1)

2x-3y = -5

2x-3( 2+x ) = -5

2x-6-x = -5

2x-x = -5+6

x = 1

substitute x = 1 into (2)

y = 2+x

y = 2+1

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4 0
3 years ago
Help please! This is a Calculus AB question!
Lynna [10]

Answer:

½ ln 3

Step-by-step explanation:

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If u = tan x, then du = sec²x dx.

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7 0
3 years ago
Which sample fairly represents the population? Select two options.
ExtremeBDS [4]

Answer:

b) observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses.

d) taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.

Step-by-step explanation:

These are the two options that are most likely to give you a sample that fairly represents the population. In the first case, the sample that you obtain is likely to be a good representation because Main Street is a road where a great variety of people walk. Moreover, 5 pm is also a time that will allow you to see  a great number of different people. The second answer will also give you a good sample, as the poll would include all students in the lunch room, which is all students in the school (the whole population).

7 0
3 years ago
Read 2 more answers
Please help thank you so much
Licemer1 [7]

Answer:

\Huge\boxed{x=15}

Step-by-step explanation:

Hello There!

The angle labeled 6x is a right angle

If an angle is formed using the diameter of a circle then the opposite angle of that side is a right angle

So 6x = 90

isolate the variable

divide each side by 6

90/6= 15

6x/6=x

we're left with x = 15

5 0
3 years ago
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Help me please I really struggling ​
Naya [18.7K]

Answer:

pretty sure the middle is the not in the business class like where f and b meet

8 0
3 years ago
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