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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
You might be interested in
Can someone tell me what the answer is for x/-9≥3 as a simplified answer
Nostrana [21]
X/-9 ≥3 multiply both side by -9 to get rid of fraction
-9/1•x/-9 ≥-9•3
Cross cancel -9 on left side
x ≥ -27
6 0
3 years ago
Write at least 3 different expressions that are eqivalent to -1/2 (-12x + 30)
valkas [14]

Answer:

6x-15 3(x-5) 3/2(2x-10)

Step-by-step explanation:

simplify

-1/2(-12x+30)

6x-15

factor in different ways

3(x-5)

3/2(2x-10)

5 0
3 years ago
Sales at an auto part store decreased 20.5% this month compared to last month.If sales this month were $75,366 what were the sal
elena-14-01-66 [18.8K]

Answer:

I believe the sales would be: 90816.03

Step-by-step explanation:

20.5 % of 75.366 is 15450.03

75366 + 15450.03 = 90816.03

8 0
3 years ago
A =5, b = 12 c =?<br><br><br><br> Pls help I don’t know how to do this
nataly862011 [7]

Answer:

: Use the Pythagorean Theorem

{c}^{2}  =  {a}^{2}  +  {b}^{2}

{c}^{2}  =  {5}^{2}  +  {12}^{2}

{c}^{2}  = 25 + 144

{c}^{2}  = 169

c =  + 13

6 0
3 years ago
Nicole has x marbles. Together we have 44 marbles. How many marbles will I have if I lose 1/4 of my marbles ?
zubka84 [21]

Answer:

I have:

33 - 3N/44   marbles

N = marbles of Nicole

Step-by-step explanation:

Nicole + me = 44 marbles

m = 44 - N

m = me

N = Nicole

if i lose 1/4 of my marbles

4/4 - 1/4 = 3/4

i have left:

3/4 of my marbles

then:

m = 3(44-N)/4

m = 3*44/4 + 3*-N/44

m = 33 - 3N/44

I have finally:

33 - 3N/44

5 0
4 years ago
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