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aniked [119]
3 years ago
12

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).

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
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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Polynomial factoring: <br> 2x^4 + x^2- 6
pickupchik [31]

Answer: (x^2+2)(2x^2-3)

Step-by-step explanation:

2x^4 + x^2- 6

= 2x^4+4x^2-3x^2-6

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

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

7 0
2 years ago
The width of a rectangle is 5n - 3.5 feet and the length is 3.5n + 9 feet. Find the perimeter of the rectangle.
juin [17]

Answer:

17n+11

Step-by-step explanation:

Formula For Perimeter Of Rectangle: 2(Length) + 2(Width)

                                                            Length = 3.5n + 9

                                                            Width =  5n - 3.5

____________________________________________________

-> 2(Length) + 2(Width)

-> 2(3.5n+9) + 2(5n-3.5)

*distribute*

-> (7n+18) + (10n-7)

*distribute*

->7n+18+10n-7

->17n-11

7 0
3 years ago
he pay a fixed charge of $30 plus $10 per hour to rent the digger work out how much he pays to rent the digger for?
Maslowich
How many hours does he rent it?

Either way, the equation would be 30 + 10x

x is the number of hours he rents the digger.

So for example, if he rented it for say 8 hours

30 + 10(8)
30 + 80
$110
7 0
3 years ago
Can someone help me, please?
MrRa [10]

Answer:

For the first two you are right, the last two should be 1/10 and 9/10.

Step-by-step explanation:

The probability that you win is both blue and even number happen, which is 1/5 * 3/6 = 3/30 = 1/ 10, then the probability you not win is 1- 1/10 = 9/10.

If it is helpful, plz give me Brainliest.

7 0
3 years ago
F(x)=8_-4x-x^3. g(x)=x^2+7x-9. Find f(x)+g(x)
11111nata11111 [884]

(8 - 4x -  {x}^{3} ) + ( {x}^{2}  + 7x - 9) \\  =  -  {x}^{3}  +  {x}^{2}  - 4x + 7x + 8 - 9 \\  =  -  {x}^{3}  +  {x}^{2}  + 3x - 1
(8x - 4x -  {x}^{3} ) + ( {x}^{2}  + 7x - 9) \\  -  {x}^{3}  +  {x}^{2}  + 8x - 4x + 7x - 9 \\  -  {x}^{3}  +  {x}^{2}  + 11x - 9
The answer is either B, and you forgot to put in the ^2 in the answer choice, or C, and you forgot to put an x where there is a _ in the question.

Check the actual question (the one you recieved, not the one posted here) and see where the mistakes are. If f(x) = 8x - 4x - x^3, then your answer is C. However, if B is actually -x^3 + x^2 + 3x - 1, then the answer is B.
7 0
4 years ago
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