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Harlamova29_29 [7]
3 years ago
14

Consider the system of equations shown below. y = negative 5 x + 1. y = negative 5 x + 10 When graphed, the system consists of t

wo lines that will never meet, no matter how far they are extended. Why are the lines parallel? The linear equations have the same slope and y-intercept. The linear equations have different slopes and y-intercepts. The linear equations have the same slope but different y-intercepts. The linear equations have different slopes but the same y-intercept.
Mathematics
2 answers:
Sophie [7]3 years ago
8 0

The reason why both graphs are parallel because they have the same slope but different y-intercept.

Think about it. If both graphs have same slope and same y-intercept. The graph will intercept each others infinitely.

Then if we change the y-intercept into any numbers that aren't the same as another equations for ex.

y = -5x+1 and y = -5x+10

then we will get the parallel graph. Or if you solve the equation, the equation will not be true, thus giving the graph parallel.

But if it is y = -5x+1 and y = -5x+1 which both are the same graph. Then the graph will intercept each others infinitely. Or if we solve the equation, we will get 0 = 0 which makes the equation true for all real numbers.

Therefore, the reason why both graphs are parallel is because that they have the same slope but different y-intercept.

That's all.

Dafna1 [17]3 years ago
6 0

Answer:

c

Step-by-step explanation:

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.5x+.10y+.20z=380
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3 years ago
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in theratio is 10, what is the Second numb
Zanzabum

Answer:

10:40

Step-by-step explanation:

As the left number increases by 1, the right number increases by 4. So as you can see, the left numbers go 3-4-5 while the right numbers go 12-16-20. So the answer is 10:40 because 10x4=40.

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artcher [175]

The solution to a system of equations is the point where the 2 lines of a graph cross each other.

On the pictured graph, the lines cross each other at x = -6 and Y = -2.

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Which sequence of similar transformations could map △ABC onto △A'B'C'?
nadya68 [22]

Answer:  A sequence of similar transformations of dilation and translation could map △ABC onto △A'B'C'.


Step-by-step explanation:

Similar transformations:  If one figure can be mapped onto the other figure using a dilation and a congruent rigid transformation or a rigid transformation followed by dilation then the two figures are said to be similar.

In the attachment △ABC mapped onto △A'B'C' by a sequence of dilation from origin and scalar factor k followed by translation.

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Answer:

see explanation

Step-by-step explanation:

The largest angle is opposite the largest side and the smallest angle is opposite the shortest side.

Δ FUN

largest angle is ∠ FUN ( opposite FN )

smallest angle is ∠ NFU ( opposite NU )

Δ GEO

largest angle is ∠ GEO ( opposite GO )

smallest angle is ∠ GOE ( opposite GE )

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The longest side is opposite the largest angle and the shortest side is opposite the smallest angle.

∠ RTY = 180° - (70 + 55)° = 180° - 125° = 55°

Δ TRY is therefore isosceles with 2 congruent legs RT, RY

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