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alexandr402 [8]
3 years ago
9

The equation of line l is -3y + 4x = 9 . Write the equation of a line that is parallel to line l and passes through the point (-

12,6)
Mathematics
1 answer:
Elan Coil [88]3 years ago
7 0

Answer: y = 3x/4 + 22

Step-by-step explanation:

The equation of line l is -3y + 4x = 9

-3y + 4x = 9

3y = 4x -9

y = (4x -9)/3= 4x/3 - 3

From the slope-intercept equation,

y = mx +c

Where m= slope

Comparing both equations, we have

m = 4/3

If the new line that parallel to line l, that means they have the same slope

So, slope if new line is 3/4.

Points =(-12, 6)

From y = mx + c

x = -12,y = 6

6= 4/3 × -12 + c

6 = -16 + c

c = 6 + 16 = 22

Therefore

The equation of the line that is parallel to line l and passes through the point (-12,6) ,

y = 3x/4 + 22

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Write an equation of the line containing the given point and parallel to the given line.
Dafna11 [192]

Answer:

y = 5/9x - 37/3

Step-by-step explanation:

5x - 9y = 8

-9y = -5x + 8

y = 5/9x - 8/9

  • When a line is parallel, the slope remains the same.

y = 5/9x + b

-9 = 5/9(6) + b

-9 = 10/3 + b

-37/3 = b

6 0
2 years ago
A jet flies at a rate of 1.3 x 10^ 6 feet per hour. Written in scientific notation, which is the best estimate of how many feet
nadezda [96]
(1.3X10^6ft/hr)(2.8X10^3hr)

(1.3*2.8)(10^6*10^3)

Rule (a^b)(a^c)=a^(b+c)

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3.64X10^9 ft

Technically we only had two significant figures and the answer should be:

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7 0
3 years ago
Read 2 more answers
Events M and N are independent events. In this scenario, if P(M) = 0.46 and P(M and N) = 0.138, then P(N) = .
Oksi-84 [34.3K]

Answer:

P(N)=0.3

Step-by-step explanation:

Given: P(M)= 0.46, P(M and N)=0.138

Using P(M) ×P(N)= P(M and N)

⇒0.46×P(N)= 0.138

⇒P(N)= \frac{0.138}{0.46}

⇒P(N)=0.3

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Find the area of the right triangle
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Answer:

Area = 1/2 base x Height

Step-by-step explanation:

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A company sells T-shirts for $11 each and sweatshirts for $19 each.The number of T-shirts sold was 10 fewer than three times the
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Answer:

Number of T-SHIRT sold = x = 110

Number of sweatshirt = y = 40

Step-by-step explanation:

Let

Number of T-SHIRT sold = x

Number of sweatshirt = y

The number of T-shirts sold was 10 fewer than three times the number of sweatshirts sold.

x = 3y - 10

Cost of each T-SHIRT = $11

Cost of sweatshirt = $19

Total cost = $1,970

Total = x + y

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6 0
2 years ago
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