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Yakvenalex [24]
2 years ago
9

Line A is created by connecting the two red dots. Line B is created by connecting the two blue dots.Which of the following point

s represents the intersection point of Line A and Line B if the lines continue indefinitely?

Mathematics
1 answer:
pav-90 [236]2 years ago
5 0

Explanation

The points for line A are

(-2,0)\text{ and \lparen-1,3\rparen}

The points for line b are

(2,4)\text{ and \lparen4,-2\rparen}

Using a graph plotter we will have the equation of line for LINE A and B

For Line A

lineA\Rightarrow y=3x+6

For Line B

Line\text{ B}\Rightarrow y=-3x+10

Next we will then plot the graph of the two line to give

The lines therefore intersect at the point

(\frac{2}{3},8)

Answer: Option 2

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Factor the GCF: 12a^3b + 8a^2b^2 — 20 ab^3
geniusboy [140]

Answer:

GCF is 4ab

And the expression will be: 4ab ( 3a^2+2ab-5b^2)

Step-by-step explanation:

Factor the GCF :

12a^3b + 8a^2b^2-20 ab^3

We need to find the common terms that are common in each of the term given above

12,8 and 2 are all divisible by 4

a is common in all terms and b is also common in all terms,

So, GCF is 4ab

Taking 4ab common

12a^3b + 8a^2b^2-20 ab^3=4ab ( 3a^2+2ab-5b^2)

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4 years ago
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Olegator [25]
Your answer is B) (2x+1)(3x+2)
Explanation in picture \/

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vova2212 [387]

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With the ratio at 1:1, Point C appears to be the midpoint. Use the midpoint formula to ascertain (make sure of) whether Point C
Mila [183]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete because the coordinates of A, B and C were not given in the question.

However, the following explanation will guide you...

The midpoints, C of two point A and B is calculated as:

C(x,y) = (\frac{x_1 + y_1}{2}, \frac{y_1 + y_2}{2})

Where (x_1, y_1) are the coordinates of A

and

(x_2,y_2) are the coordinates of B

Take for instance, the given coordinates are

A(4,6); B(2,4) and C(3,5)

Then;

Plug in these values in the given formula:

C(x,y) = (\frac{x_1 + y_1}{2}, \frac{y_1 + y_2}{2})

(3,5) = (\frac{4 + 2}{2}, \frac{6 + 4}{2})

(3,5) = (\frac{6}{2}, \frac{10}{2})

(3,5) = (3,5)

In that case,

C is really the midpoint

To the b part: <em>Explaining why ratio 1:1 is used</em>

The reason is that both parts of the ratio are in equal proportion (1 and 1);

Because of this equal proportion, ration 1:1 is right to calculate the midpoint

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