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4 years ago

Points A, B, and C are collinear. Point B is between A and C. AB = 10 and BC = 5. Find AC.

Mathematics

2 answers:

malfutka [58]4 years ago

5 0

Answer:

AC = 15

Step-by-step explanation:

Use segment addition postulate to add AB + BC = AC. 10 + 5 = 15.

(drawing out the line helps you visualize the problem better)

bagirrra123 [75]4 years ago

3 0

AC = AB + BC
AC = 10 + 5
AC = 15

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Step-by-step explanation:

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3 years ago

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The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in th

Step2247 [10]

Answer:

$\frac{dP}{dt} \ =\ \frac{1}{5}P$

Step-by-step explanation:

Given

Variation: Directly Proportional

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Required

Determine the differential equation for the scenario

The variation can be represented as:

$\frac{dP}{dt} \ \alpha\ P$

Which means that the rate at which the insects increase with time is directly proportional to the number of insects

Convert to equation

$\frac{dP}{dt} \ =\ k * P$

$\frac{dP}{dt} \ =\ kP$

Substitute values for $\frac{dP}{dt}$ and P

$2\ million = k * 10\ million$

Make k the subject

$k = \frac{2\ million}{10\ million}$

$k = \frac{2}{10}$

$k = \frac{1}{5}$

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3 years ago

I need help with all of them

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3 years ago

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Answer:

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Step-by-step explanation:

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In the Question

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Also we have

$(x^{a})^{b} =x^{a\times b}$

$(x^{2}+ y^{2})^{2} =x^{4}+2x^{2}y^{2}+y^{4}$ Which is the required

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4 years ago

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Leya [2.2K]

Answer:

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Step-by-step explanation:

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This is the same as;

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3 years ago