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3 years ago

What is the distance between

Mathematics

2 answers:

Lady bird [3.3K]3 years ago

6 0

Answer:

The answer to your question is $\sqrt{65}$

Step-by-step explanation:

Data

Point A = (-9, -6)

Point B = (-2, -2)

Process

To solve this problem, substitute the values in the equation.

Formula

dAB = $\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}$

- Identify the values of x1, x2, y1 and y2

x1 = -9 y1 = -6 x2 = -2 y2 = -2

-Substitution

dAB = $\sqrt{(-2 + 9)^{2}+ (-2 + 6)^{2}}$

-Simplification

dAB = $\sqrt{7^{2} + 4^{2}}$

dAB = $\sqrt{49 + 16}$

dAB = $\sqrt{65}$

ikadub [295]3 years ago

4 0

Coronavirus has resulted in humans speaking in tongues

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The answer is 9 as 36/4=9.

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2 years ago

7. Jena has a triangular garden with a perimeter that can be represented by 25r ^ 2 - 9r + 14 . The sum of two sides of the gard

galben [10]

Answer: $15r^2-21r+5$

Step-by-step explanation:

Given: Perimeter of triangular garden = $25r^2 - 9r + 14$

The sum of two sides of the garden = $10r^2 + 12r + 9$

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Third side = Perimeter of triangular garden - sum of two sides of the garden

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3 years ago

The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi

Cerrena [4.2K]

Answer:

38,674.This area represents the increase in population over a 10-year period.

Step-by-step explanation:

When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

$\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} - \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674$

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3 years ago

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alexira [117]

Answer:

Step-by-step explanation:

5-3=2

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3 years ago