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PilotLPTM [1.2K]
3 years ago
11

Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

Answer:

x-2y = -12

Step-by-step explanation:

Standard form of a line is in the form Ax + By = C   where A is a positive integer

y − 3 = 1/2(x + 6)

Multiply each side by 2 to eliminate the fractions

2(y-3)= 1/2*2 (x+6)

Distribute

2y -6 = x+6

Subtract x from each side

-x +2y -6 = x-x +6

-x+2y -6 = 6

Add 6 to each side

-x+ 2y -6+6 = 6+6

-x +2y = 12

Multiply each side by -1 to make A a positive integer

x-2y = -12

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11 x 3 = 33 ft
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11 x 3 = 33
33 over 2 = 16.5 ft
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8 0
3 years ago
the ratio of length and breadth of a piece of land is 5:3 and its breadth is 48m. find the perimeter and area of the land.
Marizza181 [45]

Answer:

256 m and 3840 m²

Step-by-step explanation:

The 3 part of the ratio represents 48 m , then

48m ÷ 3 = 16 m ← value of 1 part of the ratio, so

5 parts = 5 × 16 m = 80 m

Then breadth = 48 m and length = 80 m

perimeter = 2l + 2b = 2(80) + 2(48) = 160 + 96 = 256 m

area = lb = 80 × 48 = 3840 m²

4 0
3 years ago
What is the value of (6-2) with the exponet 3? write your anewer as a whole number.
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4 0
3 years ago
2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the fathe
Goshia [24]

Answer:

<u><em>The Father is currently 47 and the Son is 7</em></u>

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that <u>(F-2) = 9(S-2)</u> [2 years ago, father age was nine times the son age]

We also learn that <u>(F+3) = 5(S+3)</u>  [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F).  I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

<u><em>Father is 47 and Son is 7</em></u>

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5.  Yes, 9*5 = 45

In 3 years will he be 5 times older than his son?  Yes, Father would be 50 and son would be 10.  5*(10) = 50

3 0
2 years ago
Annika borrowed a book from the library and forgot to return it on time, the library charges .25 per day for the first four days
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So work it out as 0.25x4 =£1
Then 4-1=£3
£3 / 0.30 =10
10+4
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6 0
3 years ago
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