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GuDViN [60]
3 years ago
12

Please help with these questions

Mathematics
1 answer:
Elis [28]3 years ago
6 0
Obviously, what you looking for is slopes. Now let's get started. 
6.) 7x-5y=20 You subtract 7x both sides.
    -7x      -7x
-5y=-7x+20  Then you divide -5 both sides (which is include -7 and 20).
y=7/5x-4 Simplify.
-8x-3y=12 Add 8x both sides because it's a negative number.
+8x    +8x
-3y=8x+12 Divide -3 both sides.
y=-8/3x-4 Simplify.
 And your point value is (0,-4).
7.) -x-4y=12 Add x both sides.
     +x     +x
-4y=x+12 Divide -4 both sides.
y=-1/4x-3 Simplify.
20x+80y=0 Subtract 20x both sides.
-20x      -20x
80y=-20x Divide 80 both sides. Here's a hint: 20/80 is same thing as 2/8, so 
                you don't have to do all that. 
y=1/4x Simplify. Here's another hint: I bet you wondering there's no y-                         intercept. The y-intercept is (0,0).
Both of the functions are parallel, so there's no solution. 
8.) 30x+50y-100=0 Add 100 both sides.
                +100  +100
30x+50y=100 Subtract 30x both sides. 
-30x       -30x
50y=-30x+100 Divide 50 both sides.
y=-3/5x+2 Simplify.
3x-15y-30=0 Add 30 both sides.
          +30 +30
3x-15y=30 Subtract 3x both sides.
-3x      -3x
-15y=-3x+30 Divide -15 both sides.
y=1/5x-2 Simplify.
And your point value is (5,-1).
I hope it helps.
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The graph of a line passes through the points (0, -2) and (6.0). What is
9966 [12]

Answer:

y=\frac{1}{3}x-2

Step-by-step explanation:

The equation of a line is given in the form  y=mx+b

Where

m is the slope with formula  m=\frac{y_2-y_1}{x_2-x_1}

and

b is the y-intercept [y axis cutting point of line]

Given the two points (0, -2) and (6,0),

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Now, we find m using formula:

m=\frac{0+2}{6-0}=\frac{1}{3}

Now we have

y=\frac{1}{3}x+b

Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:

y=\frac{1}{3}x+b\\0=\frac{1}{3}(6)+b\\0=2+b\\b=-2

Thus,

equation of line = y=\frac{1}{3}x-2

5 0
3 years ago
The graph of y=3x+2x-2^2 is shown. A) what are the coordinates
lukranit [14]

Answer:

(

2

,

8

)

Explanation:

Two lines are parallel if they share the same slope.

Any line parallel to

y

=

10

x

will have the slope 10.

Now, we have:

y

=

3

x

2

−

2

x

We try to find

d

y

d

x

=>

d

d

x

(

y

)

=

d

d

x

(

3

x

2

−

2

x

)

Step-by-step explanation:

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