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Leno4ka [110]
2 years ago
6

What is the equation of a line that its parallel to -3x+4y=4 and passes through the point (4,0)?

Mathematics
1 answer:
anzhelika [568]2 years ago
7 0

Answer:

y=3/4x-3

Step-by-step explanation:

Okay so to be parallel to an equation of another line, the line must have the same slope but a different y-intercept. First, you need to find the slope of the equation -3x+4y=4. The equation must be in y=mx+b format, so you first move -3x to the right by adding it on both sides, leaving you with 4y=3x+4. Next, you divide 4y by 4 in order to isolate y and do that on the other side. Now, you have y=3/4x+1.

To find the equation of the new line, you must put the point and slope into point slope form: y-y1=m(x-x1). In the point (4, 0), 4 would be x1 and 0 would be y1. so, the new equation is y-0=3/4 (x-4). now, distrubute the 3/4, leaving you with y=3/4x-3. This is correct since the slope remains the same in both equations with a different y-intercept. To check deeper, you could place point (4, 0) on a graph and then rise 3, run 4 until you get the line :) hope this helps

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Name
Anvisha [2.4K]

Answer:

4x+8

6x-8

48x^2+30x-4

Step-by-step explanation:

a) 4(x + 2)=4x+8

b) 2(3x - 4)  =6x-8

c) 4(3 - 6x) 2x + 18-2(2 – 3x)  

=(12-24x)2x-4+6x

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4 0
3 years ago
1/2 (x - 10) = 7 what does x =
Vika [28.1K]
X=24

Work: x-10=14 x=14+10
6 0
3 years ago
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Jimmy Andrew and Richard collect comic books. Jimmy has five more comic books than Andrew, and Richard has four times as many co
adell [148]

Answer: Andrew = 20

Jimmy = 25

Richard = 100

Step-by-step explanation:

Let the number of Andrew's comic books be y.

Jimmy has five more comic books than Andrew. This means Jimmy has: y+5

Richard has four times as many comic book as jimmy. This means Richard has: 4(y+5) = 4y + 20

Since there are 145 comic books together. This can be rewritten as:

y + (y+5) + (4y+20) = 145

6y+25 = 145

6y = 145 - 25

y = 120/6

y = 20

Andrew has 20 comic books

Jimmy has five more comic books than Andrew. Jimmy has: 20+5 = 25

Richard has: 4y + 20 = 4(20) + 20 = 100

5 0
3 years ago
What is 1.5533 rounded to the nearest cent
marta [7]
Centi = Hundreds. 
1.5533.
Round up by seeing if the number to the right of the hundreds place is 5 or higher. If it's not, don't change anything.
1.55 is your answer.
4 0
3 years ago
2 Points
sergeinik [125]

Answer:

to get coordinate of mid point use (20+0)/2 for x coordinate,

A is correct answer!

7 0
3 years ago
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