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Gnesinka [82]
3 years ago
13

What are the coordinates of the point on the directed line segment from (4, -3)(4,−3) to (9, -8)(9,−8) that partitions the segme

nt into a ratio of 3 to 2?
Mathematics
1 answer:
jekas [21]3 years ago
8 0

Answer:

  (7, -6)

Step-by-step explanation:

You want to find point X on the segment from A to B such that ...

  (X -A)/(B -X) = 3/2

  2(X -A) = 3(B -X) . . . . . . cross multiply

  2X -2A = 3B -3X . . . . . eliminate parentheses

  5X = 2A +3B . . . . . . . . add 3X +2A

  X = (2A +3B)/5 . . . . . . . divide by 5

Filling in the given points for A and B, we have ...

  X = (2(4, -3) +3(9, -8))/5 = (8+27, -6-24)/5 = (35, -30)/5

  X = (7, -6)

The point that divides the segment in the proportions 3:2 is (7, -6).

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Answer:

She will still need about 450$

Step-by-step explanation:

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The moment of intertia about the​ z-axis of the solid shown on the right with density deltaδequals=1 is upper i subscript z base
Ratling [72]

<span>私の名前はあなたのビジネスのどれでもありません</span>
8 0
3 years ago
The graphs of f(x) and g(x) are shown below:
rosijanka [135]
<h2>Answer:</h2>

Option: C is the correct answer.

            C.)   x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

           f(x)=x^2-x-12

and the function g(x) is given by:

            g(x)=-1.8x-0.6

Now, we are asked to find the solution of the equation:

        f(x)=g(x)

i.e. we have to find the value of x such that both the functions are equal i.e.

x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

ax^2+bx+c=0

is given by:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here we have:

a=5,\ b=4\ and\ c=-57

Hence, the solution is given by:

x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3

6 0
3 years ago
Find the area of a circle with radius, r = 76cm.<br> Give your answer rounded to 3 SF.
PSYCHO15rus [73]

Answer:

17,700.00

Step-by-step explanation:

Area of a circle = 22

------ r2

7

=22

------ 76x76 =123,750

7 ---------- =1,768.571

7

1,768.571 rounded to 3 SF=17700.00

5 0
1 year ago
What is the factored form of 64g^3 +8?<br>​
Gelneren [198K]

Answer:

8(2g + 1) (4g^2 - 2g + 1)

Step-by-step explanation:

8 0
3 years ago
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