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sesenic [268]
3 years ago
9

The points (0,2) and (1,5) are on a line which of these points is on the same line

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

y = 3x + 2

Step-by-step explanation:

The equation for two points on a line is generated from the straight line equation y = mx + b ---------------- eqn (i)

where m, the slope = (y2 - y1) / (x2 - x1)  

therefore for (0,2) and (1,5) m = (5 - 2)/(1 - 0) = 3

This implies that eqn (i) can be rewritten as:

y = 3x + b ------------------- eqn (ii)

pickintg the point (0,2) and substituting into eqn (ii)

2 = 3(0) + b

this implies that b = 2

for confirmation with (1,5)

5 = 3(1) + b

b = 5 - 3 = 2

hence m = 3, b = 2

the equation is y = 3x + 2

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The model represents the equation x - 1 < -4. What is the solution for the inequality?
Step2247 [10]

Answer:

any number equal to or less than -4

Step-by-step explanation:

x - 1 < -4

< represents that -4 is a larger number than x - 1. we know that -4 is a negative number, so anything below -4 would be less. x = -4 would be a good solution, but the reality is that any number equal to or less than -4 is the correct answer. I hope this helps!

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2 years ago
4,193x381=1,597,000 why is this product incorrect
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8 0
3 years ago
Arc is 41 and angle is 40. I have no other given information but I have to find x
tiny-mole [99]

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7 0
3 years ago
Frank purchased a new ice box having 2kg capacity. He wants it to be full with ice cubes. He measured the ice cubes to be 3.5 cm
salantis [7]

Answer:

Frank can put 5 cubes in the box.

Step-by-step explanation:

Formula:

Mass = Volume × density.

1 cubic centimetre = 0.001 liter= 1 millilitre

Given that,

Frank purchase a new ice box having 2 kg capacity.

So,the mass of the cubes is 2 kg.

Each ice cubes measured 3.5 cm by 3.5 cm by 3.5 cm.

The volume of a cube is = Side ^3

The volume of a each ice cubes is =3.5^3 cm³

                                                        = 42.875 ml

The ice cubes have a density of 0.914 g/ml

The mass of each cubes are

=volume of each ice cubes × density

=42.875 ml ×0.914 g/ml

=39.18775 gram.

Let x number of ice cubes he can put in the box.

The mass of x cubes is = 39.18775x grams.

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According to the problem,

39.18775x=2,000

\Rightarrow x=\frac{2000}{39.18775}

\Rightarrow x\approx 51

Frank can put 5 cubes in the box.

5 0
3 years ago
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