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2 years ago

Write the equation of a line that is parallel to y = 1/2x - 4 and that passes through the point (9, -6)

Mathematics

1 answer:

timofeeve [1]2 years ago

7 0

//To have the lines parallel, the gradients must be the same.

y -- 6 = 1/2 (x - 9)
y + 6 = 1/2 x -9/2
y = 1/2 x - 10.5

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-2/3x + 2.8 = -8.2 what is x

JulsSmile [24]

-2/3x + 2.8 = -8.2 what is x
Add 2.8 on both side of the equation
-2/3x=-11
Divide both side by -2/3
x=33/2

Check: -2/3(33/2)+ 2.8 = -8.2
-11+2.8=-8.2
-8.2=-8.2

Answer is x=33/2

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3 years ago

Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that i

Oksana_A [137]

Answer:

equation 2

Step-by-step explanation:

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2 years ago

If three people share 1 / 2 pound of peanuts how much will each person have?

zhenek [66]

About .17 pounds. ( just keep the peanuts to yourself) lol

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3 years ago

What is the completely factored form of this polynomial?<br> 18x^3– 120x^2-42x

Vlada [557]

Answer:

6×(3×+1)(×-7)

Step-by-step explanation:

18×^3-120×^2-42×

=6×(3×+1)(×-7)

4 0

2 years ago

Read 2 more answers

For the system below identify the parameters as growth rates, carrying capacities, and measure of interactions between species.

babunello [35]

Answer:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The species compete each other.

Step-by-step explanation:

When we have a population model for two species as we have here, the differential equations looks like this:

$\frac{dx}{dt}=a*x+b\frac{x^{2}}{N}+c*xy$

$\frac{dy}{dt}=d*x+e\frac{y^{2}}{M}+f*xy)$

Here:

a and d are the the growth rates parameter for x and y respectively

N and M are the carrying capacities for x and y respectively

c and f measures the benefit to x and y of the interaction of the two species.

So in our case we have:

$\frac{dx}{dt}=2*x+\frac{x^{2}}{16}+2*xy$

$\frac{dy}{dt}=3*x-\frac{x^{2}}{20}-7*xy$

Therefore:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.

I hope it helps you!

3 0

2 years ago