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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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A rectangular athletic field is three times as long as it is wide. If the perimeter of the athletic field is 128 yards, what are
larisa [96]
Length=3x
Width=x
3x+x+3x+x=128
8x=128
Divide both sides by 8
x=16
3(x)
3(16)=58
Width= 16 yards
Length= 58 yards
4 0
3 years ago
Brandon buys a radio for $43.99 in a state where the sales tax is 7% what is the total Brandon pays for the radio?
babymother [125]
An increase by a percentage equal 1+percentage value multiplied by the original value.
7%=0.07
1+0.07=1.07
$43.99(1.07)=$47.0693
Round that to two decimal spaces.
$47.07
7 0
3 years ago
I need help please?!!!!):
Daniel [21]

Answer:

4

Step-by-step explanation:

The mean of a set of data: <em>(n₁ + n₂ + n₃...)/n</em>, where n₁,₂,₃... are numbers in the set, and n is the number of numbers.

Plug in: (1 + 5 + 5 + 7 + 3 + 3 + 4)/7

Add: 28/7

Divide: 4

8 0
3 years ago
Read 2 more answers
Find the area of the figure below.
Fudgin [204]

Answer:

Area = 42 in^2

Step-by-step explanation:

here's your solution

=> divide above picture in two parts

=> rectangle and traingle

=> area of rectangle = length* width

=> area of rectangle = (5*6)in.

=> area of rectangle = 30 in^2

=> now, area of traingle = 1/2*base *height

=> area of traingle = 1/2*4*6

=> area of traingle = 12 in^2

=> area of figure = 30 in^2 + 12 in^2

=> Area = 42 in^2

hope it helps

3 0
3 years ago
Read 2 more answers
PLZ HELP FIFTY POINTS FOR WHOEVER HELPS I NEED THIS ASAP
mamaluj [8]

Answer:

x = 18

y = 54

Step-by-step explanation:

A straight line equals 180 degrees.

Since Lines CD and AB are straight, we can deduce that the angle 3x = 2x + angle AN.

Because there is a right angle, we can subtract 90 -72 = 18.

18 + 2x = 3x

18 = x

A straight line equals 180 degrees. Once we figure out that x = 18, we can figure out y by plugging in x and then subtracting your answer from 180 degrees.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day!

7 0
3 years ago
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