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melisa1 [442]
3 years ago
9

How do you write this in point-slope and standard form?​

Mathematics
1 answer:
g100num [7]3 years ago
5 0

Answer:

Step-by-step explanation:

As we move from the point (2, 4) to the point (3, 6), x increases by 1 and y increases by 2.  Thus the slope of the line connecting these two poins is m = rise/run = 2/1, or just 2.

Use the basic point-slope equation:  y - k = m(x - h).  Substitute 2 for x, 4 for y and 2 for m:

y - 4 = 2(x - 2).  This is the desired equation in point slope form.

To find the equation in standard form, perform the multiplication as follows:

y - 4 = 2x - 4.  We want this to look like Ax + By = C.

Thus, subtract 2x from both sides:        

-2x + y = -4, or

2x - y = 4     This is the desired equation in Standard Form.

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A machine produces 268 bolts in 28 minutes. At the same rate, how many bolts would be produced in 21 minutes?
iren2701 [21]
268 / 28 = 9.57

9.57 x 21 = 201

Therefore, the answer is 201.
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3 years ago
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Which equivalent expression would you set up to verify the associative property of addition for (3x + 4) + ((5x2 – 1) + (2x + 6)
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(3x+4)+(5x2-1)+(2x+6)

remove unnecessary parenthesis

3x+4+(5x2-1)+(2x+6)

3x+4+(10-1)+2x+6

subtract the numbers

3x+4+9+2x+6

collect the like terms

5x+4+4+9+6

5x+19

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The distance between happyland and giggleville is 60 miles. How many kilometers is this?
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96.56 kilometers

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1. If h(x) = 4x - 2, then which of the following is the solution to h(x) = 3 ?
luda_lava [24]

Answer:

10

Step-by-step explanation:

h(x)=4x-2                         h(x)=3

h(3)=4(3)-2                     substitute

h(3)=12-2                        multiply

=10                                subtract

8 0
3 years ago
If there's 15 players total 1/3 are wearing red shoes 2/5 or wearing blue shoes and everyone else is wearing black shoes what is
Volgvan

Answer:

\frac{4}{15} is the fraction of people wearing with black shoes.

Step-by-step explanation:

Given:

If there's 15 players total, 1/3 are wearing red shoes, 2/5 are wearing blue shoes and everyone else is wearing black shoes.

Now, to find the fraction of people with black shoes.

Total players = 15.

Fraction of people wearing red shoes = \frac{1}{3}.

So, number of people are wearing red shoes:

\frac{1}{3} \times 15\\\\=5.

Fraction of people wearing blue shoes = \frac{2}{5} .

Thus, number of people wearing blue shoes:

\frac{2}{5} \times 15\\\\=6.

And rest are wearing black shoes.

Now, to get the number of people wearing black shoes by subtracting number of people are wearing red shoes and blue shoes from the total number of players:

15-5-6\\\\=15-11\\\\=4.

Thus, the fraction of people wearing black shoes:

\frac{Number\ of\ people\ wearing\ black\ shoes}{Total\ number\ of\ players}

= \frac{4}{15} .

Therefore, \frac{4}{15} is the fraction of people wearing with black shoes.

6 0
3 years ago
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