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3 years ago

What is the best description for the lines

Mathematics

1 answer:

jeyben [28]3 years ago

7 0

Answer:

Lines are described as connecting curve joining two points.

Step-by-step explanation:

In coordinate geometry, graph theory, we have points which do not occupy any space.

Any two points can be connected by a curve or a straight line. If two points are joined by a straight line, then we have the slope of the line i.e. the tangent of angle of the line with x axis is constant.

Straight lines would be of the form ax+by+c=0

Hence in equation form, lines would have equations in linear form of both x and y.

Lines have constant slope throughout the region.

Lines can be extended from -infinity to +infinity

Any two distinct points can make a line, but 3 points need not lie on the same line.

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The radioactive isotope radium has a half-life of 1,600 years. The mass of a 100-gram sample of radium will be______ grams after

Olenka [21]

To solve this we are going to use the half life equation $N(t)=N_{0} e^{( \frac{-0.693t}{t _{1/2} }) }$
Where:
$N_{0}$ is the initial sample
$t$ is the time in years
$t_{1/2}$ is the half life of the substance
$N(t)$ is the remainder quantity after $t$ years

From the problem we know that:
$N_{0} =100$
$t=200$
$t_{1/2} =1600$

Lets replace those values in our equation to find $N(t)$ :
$N(200) =100e^{( \frac{(-0.693)(200)}{1600}) }$
$N(200)=100e^{( \frac{-138.6}{1600} )}$
$N(200)=100e^{-0.086625}$
$N(200)=91.7$

We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.

8 0

3 years ago

scZoUnD [109]

Inversely proportional : it is relationship between two variables in which when one variable's value is increasing than other one is decreasing.

Situation A : The number of miles Rashid drives increases over a period of 5 hours.

→ in this situation both variable no. of miles and period of time are increasing. so it is not represent a inversely proportional relationship.

in next two situation , two variables are increasing with each other.

so we take last situation ↓

Situation : Robin has $100 to share evenly with his cousins at the fair. As the number of cousins who arrive increases, the amount that each person receives

decreases.

→ in this situation , both variable viz no. of cousins and amount they got is inversely proportional to each other. when no. of cousins are increasing than amount is decreasing. so this last one situation represent the inversely proportional relationship.

thanks ❤

4 0

3 years ago

The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.

Over [174]

Answer:

3cm and 7cm

Step-by-step explanation:

The length is 7cm.

The width is 3cm.

Area = Length × Width = 7cm × 3cm = 21cm²

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2 years ago

The ratio of red tacks to blue tacks on the bulletin board is 3 to 5. There are 50 blue tacks. How many red tacks are there?

bazaltina [42]

Answer:

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Mamont248 [21]

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step by step explanation:

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