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antiseptic1488 [7]
2 years ago
5

Find the value of d so that the line that passes through (a, b) and (c, d) has a slope of 12

Mathematics
1 answer:
fiasKO [112]2 years ago
4 0

Answer:

I'm guessing that in the book or the homework sheet, they gave you

the values of 'a', 'b', and 'c', and you're supposed to find the value of 'd'.

If you have two points on the line, then the slope of the line is

                      (the change in 'y') divided by (the change in 'x') .

If the two points are (a, b) and (c, d), then the slope of the line is

                      (d - b) divided by (c - a) ,

and you have to find the value of 'd' that makes that whole expression

equal to 1/2.

                                     (d - b) / (c - a) = 1/2

Multiply each side by  (c - a):     (d - b) = 1/2(c - a)

Add 'b' to each side:                    d        =  1/2(c - a)  +  b

If you know the values of 'a', 'b', and 'c', you can find the value of 'd'.

Step-by-step explanation:

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What is the factored form of x2 − 4x − 5?
laiz [17]
Factored Form:
x^2 - 4x - 5
Simplifying:
x^2 +  - 4x +  - 5 = 0

Reorder the terms:
- 5 +  - 4x + x^2 = 0

Solving for variable " x":
Subproblem 1:
Set the factor ( - 1 +  - 1x) equal to Zero and attempt to solve.

Simplifying:
- 1 +  - 1x = 0

Solving:
- 1 +  - 1x = 0
Move all terms containing x to the left, all other terms to the right

Add 1 to each side of equation:
- 1 + 1 +  - 1x = 0 + 1

Combine Like Terms: 0 + 1 = 1
x =  - 1


Divide each side by - 1
x =  - 1

Simplifying:  x =  -  1


Subproblem 2: Set the factor (5 +  -  1x) equal to Zero attempt to solve

Simplifying:
5 +  - 1x = 0

Move all terms containing x to the left, all other terms to the right
Add - 5 to each side of the equation
5 +  - 5  +  - 1x = 0 + 5

Combine Like terms:  5 +  - 5 = 0
0 +  - 1x = 0 +  - 5
- 1x = 0 +  - 5

Combine Like Terms: 0 +  - 5 = - 5
- 1x =  - 5

Divide each side by - 1
x = 5

Simplifying:
x = 5

Solution:
x = { - 1,  5}





Answer when factored:
(x + 1)(x - 5)







hope that helps!!!
4 0
2 years ago
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