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3 years ago

What is the correct equation for direct variation that includes the point (6, –3)?

1 answer:

6 0

A direct variation equation always takes the form y=kx, where k is a constant

Let's plug in the values of x=6 and y= -3 to solve for the value of k

-3 = k(6)

Let's flip this equality so we have the k on the left side of the equation.

6k = -3

Let's divide both sides by 6

k = -3/6

Now, simplify the fraction

k = -1/2

Now that we found the value of k, our equation is

y = (-1/2) x

Have an awesome day! :)

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Write the following decimal number in its equivalent fraction form. Show all work for full credit.

Oduvanchick [21]

Negative 3143 over 1000 divide -3.143 by 1000 and there’s your answer

4 0

2 years ago

Divide using synthetic division.<br> (k + k4 - 28kº - 12k+ 17k - 40) : (k - 5)

Alex_Xolod [135]

Answer:

Step-by-step explanation:

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3 years ago

1. What is the solution set for -4x - 10 ≤ 2 ?

tresset_1 [31]

Answer:

x≥−3

Step-by-step explanation:

−4x−10≤2

Step 1: Add 10 to both sides.

−4x−10+10≤2+10

−4x≤12

Step 2: Divide both sides by -4.

−4x−4≤12

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5 0

2 years ago

Answer and how to do it

ollegr [7]

Answer:

$(x - 9)^2 + y^2 = 36$

Step-by-step explanation:

The equation of a circle in standard form is

$(x - h)^2 + (y - k)^2 = r^2$

You are given

$x^2 + y^2 - 18x + 45 = 0$

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.

Start by grouping the x terms and subtracting 45 from both sides.

$x^2 - 18x + y^2 = -45$

Now we need to complete the square for x.

$x^2 - 18x ~~~~~~+ y^2 = -45$

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.

To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.

$x^2 - 18x + 81 + y^2 = -45 + 81$

$(x - 9)^2 + y^2 = 36$

Answer: $(x - 9)^2 + y^2 = 36$

6 0

2 years ago

7 hours to travel 4830 kilometers. What is the unit rate for kilometers per hour?

soldi70 [24.7K]

Answer:

690 km per hour

Step-by-step explanation:

4830 divided by 7 is 690 km per hour

3 0

2 years ago