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Margaret [11]
3 years ago
5

The equation of a line is y = -3x. To which equation is the line parallel to? A. Y = 1 third x minus 4 B. Y = 3x + 10 C. Y = -10

- 3x D. Y = -3
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

Answer:

This line would be parallel to C. y = -10 - 3x

Step-by-step explanation:

This is because parallel lines have the same slope. This means we must see the same coefficient of x in both equations. Both of these two equations have a coefficient of -3 on x.

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A restaurant offers 10 appetizers and 12 main courses. In how many ways can a person order a​ two-course meal? Use the Fundament
aliya0001 [1]

Answer:

80 ways

Step-by-step explanation:

The first thing is to apply the Fundamental Counting Principle with two groups of items, in this case the multiplication rule is used.

In this case, what we should do is that, for every 1 main course there are 8 appetizers, but there are 10 main courses therefore:

8 * 10 = 80

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2 years ago
Answer the last one please answer fast
Oduvanchick [21]

Answer:

Step-by-step explanation:

Put the equation in the form ax+by+c=0:

y\sqrt{3} =8x+\sqrt{3} \\=>8x-\sqrt{3} y+\sqrt{3} =0

Check the solutions:

(0,-1):

8(0)-\sqrt{3} (-1)+\sqrt{3} =2\sqrt{3}

So this is not a solution.

((\sqrt{3} ,9):

8\sqrt{3} -9\sqrt{3} +\sqrt{3} =0

So this is a solution

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Suppose y varies jointly as x and z. Find y when x=-9 and z=23, if y=117 when x=-3 and z=-11. Round your answer to the nearest h
Andrew [12]

Answer:

The value of y given the values of x and z in the question is -734.85

Step-by-step explanation:

This is a joint variation question.

First, we are made to know that y varies jointly as x and z.

The equation for this can be written as;

y = k * x * z

Where k is the constant of proportionality.

Let’s calculate k first.

117 = k * (-3) * (-11)

33k = 117

K = 117/33 = 3.55

Now, we proceed to get what y is when x = -9 and z = 23

Let’s plug these values into the initial equation written.

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We use the value of k calculated above;

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4 0
3 years ago
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Step-by-step explanation:

Seven times 4 is 28, times any number is anything 28 and above

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