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Aleonysh [2.5K]
3 years ago
12

Write an equation of the line that passes through the points (1,-4) and (2,-1).

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Answer:

  y = 3x -7

Step-by-step explanation:

The 2-point form of the equation of a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-1 -(-4))/(2 -1)(x -1) -4

  y = 3(x -1) -4

  y = 3x -7

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-2(x - 8) + 4x = -12
Deffense [45]

Answer:

x = 14

Step-by-step explanation:

Solve for x:

4 x - 2 (x - 8) = -12

-2 (x - 8) = 16 - 2 x:

4 x + 16 - 2 x = -12

4 x - 2 x = 2 x:

2 x + 16 = -12

Subtract 16 from both sides:

2 x + (16 - 16) = -16 - 12

16 - 16 = 0:

2 x = -16 - 12

-16 - 12 = -28:

2 x = -28

Divide both sides of 2 x = -28 by 2:

(2 x)/2 = (-28)/2

2/2 = 1:

x = (-28)/2

The gcd of -28 and 2 is 2, so (-28)/2 = (2 (-14))/(2×1) = 2/2×-14 = -14:

Answer:  x = -14

7 0
3 years ago
How to get the right answer
nikklg [1K]

Just plug in the the values for a, b, and c into the expression.

1/7(16/-4+8(3-√25)^2)

1/7(-4+32)

1/7(28)

4

5 0
4 years ago
It takes 16pounds of seed to completely plant a 3-acre field. How many acres can be planted per pound of seed?
tiny-mole [99]

Answer:

16x3=48

Step-by-step explanation:

4 0
3 years ago
If the perimeter of a rectangle is 360 feet, and the length is twice the width, what is the length?
geniusboy [140]

Answer:

(P) =360

(l) =?

(b) =?

so, let the breadth be x

let the length be 2x

Perimeter of rectangle=2(l+b)

360 =2(2x+x)

360/2 =2x

180/2 =x

60 =x

x =60

ATQ

Breadth = 60

length= 60 ×2

=180

8 0
3 years ago
Solve the inequality. –6 < 2x – 4 < 4
Darya [45]

Answer:

–1 < x < 4

Step-by-step explanation:

Let's solve your inequality step-by-step.

−6<2x−4<4

−6+4<2x−4+4<4+4(Add 4 to all parts)

−2<2x<8

(−2 /2) < (2x /2 )<  (8 /2)

(Divide all parts by 2)

−1<x<4

6 0
4 years ago
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