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alexandr1967 [171]
4 years ago
6

Find the equation of the line.Use exact numbers.

Mathematics
1 answer:
Veseljchak [2.6K]4 years ago
5 0

Answer:

Step-by-step explanation:

(-6,0)  ; (0,4)

  Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-0}{0-(-6)}\\\\=\frac{4}{6}\\\\=\frac{2}{3}

y - y1 = m(x -x1)

y - 0 = (2/3)(x- [-6] )

y = (2/3)(x + 6 )

y=\frac{2}{3}x + \frac{2}{3}*6\\\\y=\frac{2}{3}x+2*2\\\\y=\frac{2}{3}x + 4\\

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Factoring with Diagrams
Finger [1]

Answer:

(x - 7)(x - 4)(x + 4).            

Step-by-step explanation:

A(x) = x3 – 7x² – 16x +112

Dividing by x-7:

      x^2  - 16               <-------- Quotient

     -----------------------------

x-7)x^3 - 7x^2 - 16x + 112

     x^3 - 7x^2

                    0 - 16x + 112

                        - 16x + 112

                          ..............

so A(x) = (x - 7)(x^2 - 16)       x^2 - 16 is the difference of 2 squares so we have:

(x - 7)(x - 4)(x + 4).

Checking by expanding the brackets:  

(x - 7)(x - 4)(x + 4)

= x(x - 4)(x + 4) - 7(x - 4)(x + 4)

= x(x^2 - 16) - 7(x^2 - 16)

= x^3 - 16x - 7x^2 + 114

= x^3 - 7x^2 - 16x + 112          

7 0
3 years ago
A telephone cable runs from A to B to C to D. How much cable is required to run from A to D directly, if AB = 169, BC = 90, and
zvonat [6]
306 (whatever measurement) of cable is required to run from A to D.
7 0
3 years ago
-0.2×-5/7<br><br>please can i have some help
Ksivusya [100]

Answer:

+1/7

Step-by-step explanation:

One approach to evaluating this would be to rewrite it as:

-2        -5  

------ * --------- .  

 10          7   This reduces to:

 2

--------- = +1/7

 2(7)

8 0
4 years ago
The top of the rectangular box is 15 cm by 20 cm and its hight is 4 cm. And ant begins at one corner of the box and walks along
Nimfa-mama [501]

Answer:

92 cm

Step-by-step explanation:

Look at the attached photo, it may give you a better understanding

As we know it touches all 8 corners so the shortest distance in cm that the ant may travel is:

15+ 4+15+4 +20 + 15 +15 + 4 = 92 cm

8 0
3 years ago
John's family visited his grandmother over the weekend. the drive to her house was 2 hours at their usual speed. the trip back t
Maurinko [17]

Answer:

135 miles

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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