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Zinaida [17]
3 years ago
5

The graph of a system of equations with the same slope will have no solutions

Mathematics
2 answers:
SVEN [57.7K]3 years ago
7 0
Hey there,

If the two linear equations have the same slope (and different y-intercepts), the lines will be parallel. Since parallel lines never intersect, a system composed of twoparallel lines will have NO solution (no intersection of the lines.)

Hope this helps!
vampirchik [111]3 years ago
5 0

Answer with explanation:

The two linear equations,

1.⇒  y = ax + b

And,2.⇒ y= a x+ c

As well as,3.⇒ 2 y = 2 a x + 2 b or ,⇒ k y= k a x + k b

All the three lines has same slope.

⇒Line 1 and 2 are parallel lines due to different y intercepts, and Line 2 and Line 3 has also same slope but they are coincident.

⇒⇒So,yes when lines are Parallel that is they have same slope has no Solution, but lines which are Coincident having same Slope has infinite number of Solutions.

⇒Incorrect Statement

    The graph of a system of equations with the same slope will have no solutions

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Answer:

The Answer to 17 1/3 x 8 is 138.67

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The following are daily outputs from shift A and shift B at a factory.
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Step-by-step explanation:

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Please answer asap!!!!!
kherson [118]

Step-by-step explanation:

The equation of a circle can be the expanded form of

\large \text{$(x-a)^2+(y-b)^2=r^2$}(x−a)

2

+(y−b)

2

=r

2

where rr is the radius of the circle, (a,\ b)(a, b) is the center of the circle, and (x,\ y)(x, y) is a point on the circle.

Here, the equation of the circle is,

\begin{gathered}\begin{aligned}&x^2+y^2+10x-4y-20&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4-49&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &x^2+10x+25+y^2-4y+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &(x+5)^2+(y-2)^2&=&\ \ 7^2\end{aligned}\end{gathered}

⟹

⟹

⟹

⟹

x

2

+y

2

+10x−4y−20

x

2

+y

2

+10x−4y+25+4−49

x

2

+y

2

+10x−4y+25+4

x

2

+10x+25+y

2

−4y+4

(x+5)

2

+(y−2)

2

=

=

=

=

=

0

0

49

49

7

2

From this, we get two things:

\begin{gathered}\begin{aligned}1.&\ \ \textsf{Center of the circle is $(-5,\ 2)$.}\\ \\ 2.&\ \ \textsf{Radius of the circle is $\bold{7}$ units. }\end{aligned}\end{gathered}

1.

2.

Center of the circle is (−5, 2).

Radius of the circle is 7 units.

Hence the radius is 7 units.

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Mary bought 3 shirts. The price of each shirt was $20.53. How much did the 3 shirt cost? This is 23 point question please I need
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Answer:

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Hello,

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