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Lubov Fominskaja [6]
3 years ago
11

Find the equation of the line parallel to y=x-3 that also intersects the points (3,-2)

Mathematics
1 answer:
Reika [66]3 years ago
3 0

Answer:

y = x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 3 ← is in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes, hence

y = x + c ← is the partial equation of the parallel line.

To find c substitute (3, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = x - 5 ← equation of parallel line

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Sally babysits for the Smiths every Friday. They pay her $18 for food plus $13 for each hour she works. What value represents th
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3 0
3 years ago
At a drive through restaurant Juan’s family ordered a small drink and m medium drinks. Alex’s family ordered m medium drinks and
sertanlavr [38]

<u>Answer: </u>

Expression x + 2my + z represents cost of order where x, y, z are cost of small , medium and large drinks (in dollars) respectively.

<u>Solution: </u>

Given that  

Juan’s family ordered a small drink and m medium drinks.

Alex family ordered m medium drinks and a large drink.

Need to write an algebraic expression which shows total cost of both order in dollars.

Let’s assume cost of one small drink = x

And assume cost of one medium drink = y

And assume cost of one large drink = z

So now cost of order of Juan’s family is equal to cost of 1 small drink + cost of m medium drinks = 1 \times x + m \times y

= x + my

And cost of order of Alex family is equal to cost of m medium drinks + cost of one large drink

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=my + z

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Hence expression x + 2my + z represents cost of order where x , y , z are cost of small , medium and large drinks (in dollars) respectively.  

5 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!<br><br> Multiply.<br><br> (7x + 3)(4x − 5)
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(7x + 3)(4x -5)

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=28x^2-23x-15

Hope this helps!

Thanks!

-Charlie

3 0
3 years ago
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