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3 years ago

Determine the equations of the straight lines

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

3 0

Answer:

1). 6x - 14 2). y = 1x + 1 3). y = -4x + 22 4).y = -7/2x + 51/2

Step-by-step explanation:

1). y2 - y1 / x2 - x1 4 - (-2) / 3-2 = 6

y = 6x + b 4 = 6(3) + b 4 = 18 + b -14 = b

y = 6x - 14

2). 2 - (-2) / 1 - (-3) = 1

y = 1x + b 2 = 1(1) + b 2 = 1 + b 1 = b

y = 1x + 1

3). 2 - 6 / 5 - 4 = -4

y = -4x + b 6 = -4(4) + b 6 = -16 + b 22 = b

y = -4x + 22

4). 1 - 8 / 7 - 5 = -7/2

y = -7/2x + 51/2

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Step-by-step explanation:

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3 years ago

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Answer:

Explanation below.

Step-by-step explanation:

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An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 Tons. The cars weigh

inysia [295]

Answer:

Number of trucks (y) that can be shipped if the number of cars (x) is known $=\frac{21,600-3.6x}{7.5}$

Step-by-step explanation:

A cargo ship can carry 21,600 Tons.

Let x denotes number of cars and y denotes number of trucks.

The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each.

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$3.6x+7.5y=21,600$

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$7.5y=21,600-3.6x\\y=\frac{21,600-3.6x}{7.5}$

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3 years ago

What value of x makes the following equation true 4+3x=160

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Answer:

x=52

Step-by-step explanation:

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3 years ago

Find the value of c that completes the square

PilotLPTM [1.2K]

Answer:

The value of c that completes the square $x^2+2x+c$ is 1

Step-by-step explanation:

We need to find the value of c that completes the square $x^2+2x+c$

The formula used will be: $a^2+2ab+b^2=(a+b)^2$

In the question given the value c can be found by breaking the middle term. we are given 2x while the general formula is 2ab for middle term so,

2(x)(1) = 2x

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Solving:

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So, the value of c that completes the square $x^2+2x+c$ is 1

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2 years ago