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BaLLatris [955]
3 years ago
12

What is the solution to the system shown below y=2x-1. Y=2x+3 A (0,0). B(1,-3) C(-1,3). D no solution

Mathematics
1 answer:
Setler [38]3 years ago
5 0
We have that
<span>y=2x-1
and
Y=2x+3
the two lines are parallel
because the slopes are the same
m=2

we know that
</span>If two lines are parallel<span>, then they will never intersect
</span><span>
therefore
the answer is the option
</span><span>D no solution</span><span>

</span>
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Create a graph showing the equations y=1/4x and y=1/4x-5. Explain how the graphs are the same and how their different
Eduardwww [97]

Answer:{y=1/4x-5 [-10, 10, -5, 5]}

Step-by-step explanation:

The

−

5

part says that the

y

-intercept of this line is

−

5

. The

y

-intercept is the point at which a line crosses the

y

axis. Therefore,

x

is always

0

for the

y

intercept.

The

1

4

x

is implying that the slope or the gradient (same thing) of this line is

1

4

. Therefore,

R

i

s

e

R

u

n

=

1

4

.

R

i

s

e

R

u

n

can be expanded to

y

2

−

y

1

x

2

−

x

1

.

Since we already know that the point

{

0

,

−

5

}

lies on this line, let's substitute

x

2

for

0

and

y

2

for

−

5

.

−

5

−

y

1

0

−

x

1

=

1

4

Now, if you choose a point for

x

1

, you can simply work out

y

1

. For example, let's say I chose

4

.

−

5

−

y

1

0

−

4

=

1

4

=

−

5

−

y

1

−

4

=

1

4

Now, what makes

1

4

when divided by

−

4

? The answer is

−

1

.

Therefore, we need

−

1

on the numerator. We already have

−

5

, and

y

1

is negative, so the number

−

4

fits. So the coordinates for the 2nd point is

{

4

,

−

4

}

−

5

−

−

4

−

4

=

1

4

=

−

1

−

4

=

1

4

Now, with the points we have,

{

0

,

−

5

}

and

{

4

,

−

4

}

, we can graph this by plotting the points and joining them.

You should get this graph{y=1/4x-5 [-10, 10, -5, 5]}

7 0
3 years ago
Ali bought a music system for rs 6375.00 and spent rs 75.00 on transportation . He sold it for 6400.00 . Find his profit or loss
pentagon [3]

Answer: Loss percent = 0.775%

Step-by-step explanation:

Here,

Total cost = Purchasing price + transportation

⇒ Total cost = 6375 + 75

⇒ Total cost = $ 6450

Selling price = $ 6400

Total cost > Selling price, hence it is a loss.

Loss percent formula :

Loss\% =\dfrac{\text{Loss}}{Total\ cost}\times100\\\\=\dfrac{Total\ cost - Selling price}{Total \ cost}\times100\\\\=\dfrac{6450-6400}{6450}\times100\\\\=\dfrac{50}{6450}\times100=0.775\%

Hence, Loss percent = 0.775%

6 0
3 years ago
How can you describe the solution 16x^2-8x+1=0
Vanyuwa [196]
(4x-1)(4x-1)=0
4x-1=0
4x=1
x=1/4

I would describe it as having a multiplicity of 2
3 0
3 years ago
Points j and k lie in plane h. how many lines can be drawn through points j and k? 0 1 2 3
UkoKoshka [18]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
What is the length of side x? If necessary, round your answer to two decimal places. 19 12
Valentin [98]

Answer:

D. 14.73

Step-by-step explanation:

According to Pythagoras,

19^2 = 12^2 + x^2

x^2 = 19^2 - 12^2

x^2 = 361 - 144

x^2 = 217

x = \sqrt{217}

x = 14.73

5 0
3 years ago
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