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allochka39001 [22]

2 years ago

8

10. The perimeter of a triangle is 48'. The sides are in the ratio of 1 to 2 to 3. Find the three sides.

1 answer:

pentagon [3]2 years ago

4 0

Answer:

Step-by-step explanation:

The sides are in the ratio 1:2:3, so the lengths of the sides are 1x, 2x, 3x.

1x + 2x + 3x = 48'

6x = 48'

x = 8'

The lengths of the sides are 8', 16', 24'

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What is the Y intercept of the line graphed on the grid

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Answer:

5.5

Step-by-step explanation:

The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.

Recall the slope-intercept equation, $y = mx + b$ , where m = slope of the line, b = y-intercept.

To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4}$ .

Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):

$y = mx + b$

$1 = -\frac{3}{4}(6) + b$

$1 = -\frac{18}{4} + b$

$1 = -4.5 + b + 4.5$

$1 + 4.5 = -4.5 + b + 4.5$

$5.5 = b$

Therefore, b = y-intercept = 5.5.

To generate the equation of the line, plug in the values of m and b, we would have:

y = ¾x + 5.5

The y-intercept of the line of the graph is 5.5.

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Determine the verticle asymptote and horizontal asymptote of x^2-25/2x^+13x+15?

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The National Science Organization is monitoring the continuous exponential decline of an insect species due to deforestation. Th

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Answer:

$P\geq 26e^{-0.079t}$

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Step-by-step explanation:

We are given that there is an exponential decay.

Also, the decrease is of constant rate 7.9% i.e. 0.079 each year.

Since, the initial amount of the species is atleast 26 million.

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Moreover, is is given that the population cannot be less than 2 million.

So, we get, $P\geq 2$ .

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$P\geq 26e^{-0.079t}$

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