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Basile [38]
3 years ago
10

What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin

t A is at -5, -4 and point b at -3, 3
Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0

Answer: \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

AP:AB=3:4

AP:PB=AP:(AB-AP)=3:(4-1)=3:1

It means, point P divides segment AB in 3:1.

Section formula:  If a point divides a line segment in m:n, then

\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Using section formula, we get

P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)

P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)

P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)

P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)

Therefore, the required point is \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

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Answer:

10 ( 12p - 6k)

Step-by-step explanation:

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5 0
2 years ago
Help me do examples for a function and a non function
bekas [8.4K]

Answer:

{(1,2) (3,4) (5,6)} and {(1,2) (1,4) (5,6)}

Step-by-step explanation:

you really want to think of a function as a vending machine. if you press B12 on a vending machine because thats where the chips are, only the chips should come out. in a function, the input value aka x (B12, what youre putting in) should only have one output value aka y, (the chips)

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using this, another example of a function would be {(1,2) (3,2) (5,2)}

an example of an non function would be {(1,2) (1,4) (5,6)} because x, the input value, has multiple output values which is not possible. the output of 1 can not be 2 and 4 at the same time which we can see in the (x,y) coordinates.

4 0
2 years ago
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The answer is  -15

See the attached image for the steps on how I got that answer.

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