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2 years ago

Explanation/proof why the lines are parallel and insights

Mathematics

1 answer:

Delvig [45]2 years ago

5 0

Answer:

The lines are parallel is the will never touch.

Step-by-step explanation:

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Find the most common ratio 72,12,2, 1/3,1/18

liraira [26]

Answer:

1/6

Step-by-step explanation:

To find the common ratio, you compare a few pairs of consecutive terms, by dividing an element by its predecessor.

12 / 72 = 1/6

2 / 12 = 1 / 6

1/3 / 2 = 1 / 6

The ratio is constant... so that's your common ratio to go from one term to the next.

To go from one term to the next, you have to multiply by 1/6.

7 0

2 years ago

Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0

2 years ago

If the area of a triangle is 36 in.^2in.

disa [49]

C. 8 inches. I hope I'm not too late

4 0

2 years ago

I dont get this, its really difficult

Anarel [89]

You add the previous 2 numbers so the answer would be 162

8 0

3 years ago

Read 2 more answers

The indoor climbing gym is a popular field trip destination. This year the senior class at High School A and the senior class at

Tamiku [17]

Answer:

50 students per bus and 9 students per van

Step-by-step explanation:

I just guessed until I got it right, so I don't really have a method. If I ever find a better way of doing it, I'll edit my answer.

7 0

3 years ago

Explanation/proof why the lines are parallel and insights​

Explanation/proof why the lines are parallel and insights