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Komok [63]
3 years ago
13

Write the equation of the line through the points (4,5) and (12,9)

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

 y=1/2+1

Step-by-step explanation:

1) Y2-Y1 over X2-X1

<u>9-5=4</u>

12-4=8

4/8 simplify the answer= 1/2

m=1/2

2) subtitute the simplification to one of the points.

y=mx+b

5=1(4)+b

5=4=b

1=b

y=1/2+1

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Simplify the expression by factoring, showing the steps in your work.
alexdok [17]

Given:

$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}

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Solution:

Let us factor the numerator:

12 x^{2}+31 x+7

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    =\left(12 x^{2}+3 x\right)+(28 x+7)

Take 3x common in 1st two terms and 7 common in next two terms.

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Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

    =(4 x+1)(3 x+7)

In the same way, factorize the denominator:

16 x^{2}+8 x+1

8x can be written as 4x + 4x.

     =(16 x^{2}+4 x)+(4x+1)

Take 4x common in 1st two terms and 1 common in next two terms.

     =4x(4 x+1)+1(4x+1)

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

     =(4x+1)(4x+1)

Substitute the terms we found for numerator and denominator:

$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}=\frac{(4 x+1)(3 x+7)}{(4 x+1)(4 x+1)}

Cancel the common factors.

                        $=\frac{3 x+7}{4 x+1}

The simplified expression is \frac{3 x+7}{4 x+1}.

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3 years ago
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Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

Because of the right angle (90 deg) in red, and the horizontal line on the bottom axis,

we know that :

49 + (1+5x) = 90

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