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never [62]
3 years ago
13

Write the equation of a line that passes a given point and has the given slope. Answer in standard form. 1. Point (-3,5), m = -7

2. Point (4,7), m = 0
Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0

Answer:

  1. y -5 = -7(x +3)
  2. y = 7

Step-by-step explanation:

The point-slope form of the equation can be used for this. It is generally written as ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

1. For m=-7, (h, k) = (-3, 5), the equation is ...

  y -5 = -7(x +3)

__

2. For m=0, (h, k) = (4, 7), the equation is ...

  y -7 = 0(x -4)

  y = 7

_____

<em>Comment on the form of the answer</em>

Since a point and slope are given, "<em>the</em> equation" is appropriately written in point-slope form. For the second problem the simplified version would be ...

  y -7 = 0

Sometimes, "<em>the</em> equation" means the answer is expected in slope-intercept form. In that case, a little rearranging is necessary for the first answer. It becomes ...

  y = -7x -16

There are perhaps a dozen different forms that a linear equation can be written in. Considering those, "the equation" is somewhat ambiguous. Your curriculum materials may offer a clue as to the form intended.

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A phone plan costs $29.99 per month and includes 200 minutes of calling time. Minutes over 200 are charged at a rate of 25 cents
mylen [45]

Step-by-step explanation:

357-200 is 157 extra minutes (we are only counting the extra minutes)

157*0.25 is 39.25 (this is how much is the extra minutes in total cost)

therefore, add 39.25 and 29.99

29.99+39.25 is 62.24

Therefore, the total bill was $62.24

hope this helps :)

Have a nice day !

5 0
3 years ago
Whats the area of a square 4 by 4
MrMuchimi

Answer:

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8 0
3 years ago
Read 2 more answers
I’m having trouble answering e,f, and g
kodGreya [7K]
What’s is it about can you tell me.?
4 0
3 years ago
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A large cube is made up of many small cubes. The volume of the large cube is 7.506×10^5mm^3. The volume of each small cube is 2.
irakobra [83]

Answer:

27 small cubes

Step-by-step explanation:

Given that,

The volume of the large cube is 7.506\times 10^5\ mm^2

The volume of small cube is 2.78\times 10^4\ mm^2

We need to find how many small cubes make up the large cube. Let there are n small cubes. So, it can be calculated as follows :

n=\dfrac{7.506\times 10^5}{2.78\times 10^4}\\\\n=27

So, there are 27 small cubes that make up of the large cube.

8 0
3 years ago
 what is 16/10 as a mixed number in simplest form. I don't get it?
Ivenika [448]
16/10 as a mixed number is 1 6/10.

I got this answer by finding out how many times 10 goes into 16, evenly. I got 1, and put that as a whole number. 6 was leftover, so I put that for the numerator. Then, I kept the denominator same, which was 10.


1 6/10 simplified is 1 3/5.

I got this answer by finding out what number goes both into 10 and 6, evenly. The GCF, or Greatest Common Factor, was 2. I divided 6 by 2 and 10 by 2. I then got 3 and 5.
3 was the numerator, and 5 is the denominator.

Again, 16/10 in simplest form is 1 3/5.
6 0
3 years ago
Read 2 more answers
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