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I am Lyosha [343]
2 years ago
12

3. A line passes through (9. -9) and (10,-5).

Mathematics
1 answer:
VMariaS [17]2 years ago
6 0

Step-by-step explanation:

a. y-y1/y2-y1=x-x1/x2-x1

y+9/-5+9=x-9/10-9

y+9/4=x-9/1

y+9/4=x-9

b. y+9=4(x-9)

y+9=4x-45

y-4x=-45-9

y-4x=-54

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What is the product of​
Sever21 [200]

The product of (-1/4)(-3/7) is:

(-1/4)(-3/7)

As both are negative, the outcome is posostive.

1/4 × 3/7

=3/4×7

=3/28

Therefore the answer is C.3/28.

Hope it helps!

6 0
4 years ago
Read 2 more answers
"Predator - Prey"Consider the following systems of rate of change equations:System A(dx/dt)= 3x(1-(x/10))- 20xy(dy/dt)= -5y+(xy/
Allushta [10]

Answer:

The responses to this questin can be defined as follows:

Step-by-step explanation:

Take system A. The predator must be there. If we feel the attacker is x, that drop in y (a further prey eaten) must raise by x. Growing x could render y falling much quicker because more predators become available. See the equation of \frac{dx}{dt}.

\frac{dx}{dt} = 3x(1- \frac{x}{10})-20xy

It will see that dx/dt is an x both y function. It is indeed difficult to tell something about the dependence among \frac{dx}{dt} and x, but it is quite easy: the higher to y, its higher the 20xy (since x and y are positive numbers). And therefore -20xy is much more negative, but \frac{dx}{dt} is much worse. Going to find: the larger y, the less or even more negative \frac{dx}{dt}, the less x.

Test: It implies that higher y means less x (more prey) (fewer predators). Then, does the assumption which x is a predator confirmed? No, because more prey, and thus more predators, would mean better lunch for both the predators, People could see that x is now a prey as well as y a predator, even though more predators(y) exist.

They use the second equation to check this:

\frac{dy}{dt} = -\frac{5y+xy}{20}

Perhaps, now we're just talking about basic dependency as of now: one is from dy/dt to x. A larger x means that the y (predator) is growing faster. For System B we are using the same rationale.Thus, x is a predator and y a predator (as high x indicates higher 25 x but this results in increased y population increase (EQ.2), as higher x means lower \frac{XY}{100} and reduces x) Afterwards, we would like to learn which system has big and small predators. To conclusion, they must realize that this piranha does not impact that population of humans in the case of piranhas. However in cases where y = I and y = i+1 would not significantly differ from \frac{dx}{dt} (alter in the number of individuals) (i is an arbitrary number of piranhas)

This function of system B can be seen: \frac{dx}{dt} = 0.3x - \frac{xy}{100}. And what's the reason? Given the fact that the element beside y is \frac{1}{100}, another tiger shark is no worse than \frac{dx}{dt} and therefore not willing to make a significant contribution to the elimination of global life. Through system A, they could see that the predator is huge because one predator implies a major shift in \frac{dx}{dt} almost. I belive that, this message has been observed by you. But I also hope that throughout the end I have created no error:) This should try to not learn with your heart, since it is helpful when you grasp the task. Another way to approach the problem might be to try to consider \frac{dy}{dt} instead of \frac{dx}{dt} for both systems and then to see that what prey is tiny or large. This big predator should not imply many hunters with one location or each other and will eat a meal (System A seems to have this feature: (\frac{dy}{dy} = -5y)

4 0
3 years ago
С
mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

10x + 8x + 14x - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32x + 336 = 720

Subtract 336 from both sides:

32x = 384

Divide both sides by 32:

x = 12

8 0
3 years ago
If a cereal box (rectangular prism) has the dimensions of 6 inches by 4 inches by 14 inches, what is the volume?
musickatia [10]

Answer:

the volume is 336

6 0
3 years ago
Read 2 more answers
Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per da
balu736 [363]

Answer: <em>Tara thinks correctly.</em>

Step-by-step explanation:

<em>Let's calculate the average value in sample A:</em>

<em>(4 × 70 + 5 × 100 + 6 × 125 + 7 × 135 + 8 × 70) ÷ 500 = 6,07 ≈ </em><em>6 hours</em>

<em>Let's calculate the average value in sample B:</em>

<em>(4 × 80 + 5 × 90 + 6 × 120 + 7 × 125 + 8 × 85) ÷ 500 = 6,09 ≈ </em><em>6 hours</em>

<em>So, Tara is correct in saying that the mean is 6.</em>

3 0
3 years ago
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