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3 years ago

Find the point, M, that divides segment AB into a ratio of 5:2 if A is at (1, 2) and B is at (8, 16).

1 answer:

4 0

Since M divides segment AB into a ratio of 5:2, we can say that M is 5/(5+2) of the length of AB. Therefore 5/7 × AB.
distance of AB = d
5/7×(x2 - x1) for the x and 5/7×(y2 - y1) for the y
5/7×(8 - 1) = 5/7 (7) = 5 for the x
and 5/7×(16 - 2) = 5/7 (14) = 10 for the y
But remember the line AB starts at A (1, 2),
so add 1 to the x: 5+1 = 6
and add 2 to the y: 10+2 = 12
Therefore the point M lies exactly at...
A) (6, 12)

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Find the first four terms of the sequence given by the following. aₙ=43-3(n-1) n=1,2,3. . .

Serggg [28]

Given :-

The general term of a sequence is given by aₙ=43-3(n-1) .

To Find :-

The first four terms of the sequence.

Solution :-

The given expression is $/$

→ aₙ=43-3(n-1)

where n > 0

Finding the first term :

Substituting n = 1 , we have ,

→ T1 = 43 - 3(1-1)

→ T1 = 43 - 3*0

→ T1 = 43 - 0 = 43

Finding the second term :

Substituting n = 2 , we have,

→ T2 = 43 -3(2-1)

→ T2 = 43 -3*1

→ T2 = 43 -3 = 40

Finding the third term :

Substituting n = 3 , we have,

→ T3 = 43 -3(3-1)

→ T3 = 43 -3*2

→ T3 = 43 -6 = 37

Finding the fourth term :

→ T4 = 43 -3(4-1)

→ T4 = 43 -3*3

→ T4 = 43-9 = 34

Hence the first four terms of the sequence are 43 , 40 , 37 and 34 .

I hope this helps . Let me know if you need further clarification .

7 0

1 year ago

May I know this answer

kap26 [50]

I think it’s C but I may be wrong

3 0

2 years ago

Simplify

frosja888 [35]

Just do this :
-1 + 30 - 5y
29 - 5y
or -5y + 29
the answer is C

6 0

2 years ago

21÷xy=? With x=-3 y=2

Vsevolod [243]

Plug in the numbers so it will turn out as 21. Divided by 3(2) . You know that if 2 numbers are close by each other than you are going to multiply so 3 times 2 = 6 , then you do 21 divided by 6 = 3.5

The answer = 3.5

6 0

2 years ago

A triangular bandana has an area of 38 square inches. The height of the triangle is 9

meriva

Answer:

Base=8.4 inches

Step-by-step explanation:

Area of triangular bandana is 38sq inches

Height of triangle is 9 inches

Area of ∆ =½×b×h

38=½×b×9

38×2=b×9

76/9=b

b=8.4 inches

3 0

2 years ago