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BaLLatris [955]
2 years ago
15

The line l with equation x - 2y + 2 = 0 crosses the y-axis at the point P. The line

Mathematics
1 answer:
Sauron [17]2 years ago
6 0

Answer:

Area of ΔPQR is 28 units²

Step-by-step explanation:

-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point P( 0, b)

x-2y+2 = 0, subtract x and 2 from both sides

-2y = -x-2, divide by -2 both sides

y= (1/2)x +1 so b=1 and P (0, 1)

-Q  is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point Q( 0, b)

3x +y -15 =0, subtract 3x and add 15 to both sides

y= -3x +15 so b=15 and Q(0,15)

-R is the intersection of the two lines so is the solution of the system of equations y= (1/2)x +1 and y= -3x +15

(1/2)x +1 =  -3x +15, add 3x and subtract1

(1/2) x+3x = 15-1, combine like terms

(7/2)x = 14 , multiply both sides by 2

7x = 28, divide both sides by 7

x= 4

y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)

- the area of ΔPQR is (base *height)/2

base= 15-1= 14

height = 4

A= (14*4)/2 = 14*2 = 28

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makvit [3.9K]

Answer:

  see below

Step-by-step explanation:

The equation of the hyperbola can be written as ...

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3 years ago
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Answer:

Step-by-step explanation:

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3 0
3 years ago
In the diagram of circle M shown, the measure of major arc PRQ=268 . Which of the following
padilas [110]

Step-by-step explanation:

The Answer is 46

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3 years ago
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antiseptic1488 [7]

Answer:

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Step-by-step explanation:

given that you find a certain stock that had returns of 9 percent, −16 percent, 18 percent, and 14 percent for four of the last five years. The average return of the stock over this period was 10.3 percent,

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4 0
3 years ago
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yawa3891 [41]
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8 0
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