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natali 33 [55]
1 year ago
7

Write the standard form of the equation of the line through the pair of points (3,5) and (1,5).

Mathematics
1 answer:
asambeis [7]1 year ago
4 0

Answer:

<u>y = 5</u>

Step-by-step explanation:

The standard form of a linear equation is Ax + By=C

But let's start with the slope-intercept form:  y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

M, the slope, may be calculated by using the Rise/Run between the two given points:  (1,5) and (3,5):

Rise = (5-5) = 0  <u><em>[Note that the value of y does not change when x = 1 or 3.]</em></u>

Run is = (3-1)=2

Rise/Run (slope, m) is (0/2) or 0.  <u><em>[y does not change as a function of x.  It is a flat, horizontal line]</em></u>

The equation becomes y = (2/3)x + b

We need to find a value of b, the y-intercept, that forces the line to go through both points.  This can be done by entering one of the points into the equation and solving for b:

y = (0)x + b

I'll use (1,5)

5 = (0)*(1) + b

b = 5

The equation becomes y = (0)x + 5  or y = 5

Standard form of the equation is Ax + By = C

A is 0, B is 1 and C is 5

y = 5

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Answer:

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Step-by-step explanation:

1. take what y equals (3x-11) and plug it in for y in the second equation

Should look like this: O= 6x-2(3x-11)-22

2. Then distribute O=6x-6x+22-22

3. Then combine like terms O= 0 the 22's cancel out as well as the x's

x= 0

4. plug 0 in for x in the first equation y=3(0)-11

5. y= -11

6. x=0 y=-11 (0,-11)

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3 years ago
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Step-by-step explanation:

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8 0
2 years ago
The table shows the price of strawberries this week at The Produce Place.
Marat540 [252]

Answer:

  The constant of proportionality is 2.50

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For a weight of 1 lb, the price is $2.50, so the price in dollars is related to the weight in pounds by the constant 2.50.

The constant of proportionality is 2.50 (dollars per pound).

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2 years ago
Solve photo question. Mathematics. Please. Easy one. And last one.
Elan Coil [88]
A collection of nickels and dimes is worth $4.40. There are 53 coins in all. How many nickels are there?

Nickel is a US coin worth 5 cents or 0.05.
Dime is a US coin worth 10 cents or 0.10

n + d = 53
0.05n + 0.10d = 4.40

n = 53 - d
0.05(53 - d) + 0.10d = 4.40  
2.65 - 0.05d + 0.10d = 4.40
0.05d = 4.40 - 2.65
0.05d = 1.75
d = 1.75 / 0.05
d = 35

n = 53 - d
n = 53 - 35
n = 18 

There are 18 nickels and 35 dimes.

0.05n + 0.10d = 4.40
0.05(18) + 0.10(35) = 4.40
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4 0
3 years ago
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How do you do 27 divided by 624 in partial quotients
Virty [35]

Answer:

Step-by-step explanation:

For this case we have the following numbers:

624

27

When dividing both numbers, we observe that:

The partial quotient of the division is equal to 23

The rest of the division is equal to 3.

Note: See attached image to see the procedure of the division between both numbers.

Answer:

the partial quotient of 624 divided by 27 is:

23

6 0
3 years ago
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