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Lapatulllka [165]
2 years ago
12

How do I write an equation of a line that is parallel to 2x-3y=15

Mathematics
1 answer:
lina2011 [118]2 years ago
4 0
The line given is -2x + 3y = 15, so we must rearrange:

=> 3y = 2x + 15
=> y = 2/3 x + 5

These two equations are EQUIVALENT, but one is in slope intercept form, the other isn't.

So in this case, gradient is 2/3 (or 2 units up, and 3 units across).

And we know that parallel lines have the same gradient. Hence, the general equation for lines parallel to it will be:

y = 2/3 x + n

where n can be any number (positive/negative, decimal/fraction/integer) except 5, which is original line.

For example, y = 2/3 x + 2
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What is the length of the hypotenuse of the right triangle shown below? If necessary, round your answer to the nearest hundredth
kolezko [41]
It is ten units, as the two sides are of 6 and 8 so you must square them both, add them together (which gives you 100) and then square root that, which gives you 10

8 0
4 years ago
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A scuba diver reaches an elevation of -78 feet, which is a depth of 78 feet.
gavmur [86]

Answer:

true

Step-by-step explanation:

depth is how far down you are from the surface

6 0
3 years ago
The ratio of men to women working for a company is 5 to 7. If there are 126 women working for the company, what is the total num
SIZIF [17.4K]

Answer:

There are 216 employees

Step-by-step explanation:

First you divide 126 by 7 (number of women) and you get 18 then you times that by 5 (total number of men) and you get 90 finally you add 90 (men) and 126 (women) to get 216 employees in total.

8 0
3 years ago
Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare.
timofeeve [1]
Just plug in the numbers into the equation.

m = 4a + 2c

a = adults
c = children
m = meatballs

The information given says there are 25 adults and 5 children. So now:

a = 25
and
c = 5
in the equation m = 4a + 2c


Now plug in the values. 
m = 4(25) + 2(5)
m = 100 + 10
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This means that 110 meatballs are required for 25 adults and 5 children. 
8 0
3 years ago
42x^3+35×^2-36x-30 factor​
Komok [63]

Answer:

(6x + 5)(7x² - 6)

Step-by-step explanation:

Factor the first/second and third/fourth term

42x³ + 35x² - 36x - 30

= 7x²(6x + 5) - 6(6x + 5) ← factor out (6x + 5) from each term

= (6x + 5)(7x² - 6)

4 0
3 years ago
Read 2 more answers
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