Write the slope-intercept form of the equation of each line.
1) 2x − 3y = 24
2) 2x − y = 4
3) 7x − 5y = 35
4) x − y = 0
5) 4x − y = 2
6) 4x − 3y = −6
7) y + 4 = 1 2 (x − 2)
8) y = − 5 2 (x + 2)
9) y − 5 = −2(x + 2)
10) y − 1 = 5(x − 1)
11) y + 2 = 1 2 (x + 2)
12) y − 4 = −(x − 4)

12)

11)

10)

9)

8)

7)

6)

5)

4)

3)

2)

1)

Step-by-step explanation:

12)

y - 4 = −(x - 4)

y - 4 = −x + 4

+ 4 + 4

__________

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11)

y + 2 = 12(x + 2)

y + 2 = 12x + 24

- 2 - 2

____________

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10)

y - 1 = 5(x - 1)

y - 1 = 5x - 5

+ 1 + 1

_________

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9)

y - 5 = −2(x + 2)

y - 5 = −2x - 4

+ 5 + 5

___________

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8)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

+ 5 + 5

__________

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7)

y + 4 = 12(x - 2)

y + 4 = 12x - 24

- 4 - 4

____________

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6)

4x - 3y = −6

-4x - 4x

__________

−3y = −4x - 6

___ _____

−3 −3

_______________________________________________

5)

4x - y = 2

-4x - 4x

_______

−y = −4x + 2

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4)

x - y = 0

______

−y = −x

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3)

7x - 5y = 35

-7x - 7x

_________

−5y = −7x + 35

___ ______

−5 −5

_______________________________________________

2)

2x - y = 4

-2x - 2x

_______

−y = −2x + 4

_______________________________________________

1)

2x - 3y = 24

-2x - 2x

_________

−3y = −2x + 24

___ _______

−3 −3

I am delighted to assist you anytime.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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