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1 year ago

How are the slopes when the lines are parallel in a square ?

1 answer:

4 0

The slope of parallel lines is equal and the slope of perpendicular lines is a negative multiplicative inverse of each other.

<h3>What is the standard equation of a line?</h3>

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y-intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

A square is a polygon with four sides, the opposite sides are parallel and all the sides are equal, all the angles have an equal measure of 90 degrees.

Two lines are parallel to each other when they are at a fixed distance always and never intersect with each other.

The slope of the lines parallel to each other is equal.

Two lines are said to be perpendicular when they intersect at 90 degrees.

The slope of two perpendicular lines has a product of -1.

To known more about the standard equation of a line

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Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?

Elina [12.6K]

Hey there!

Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C.

Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is $\frac{1}{4}$ .

Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down.

The answer will be B, "a dilation with a scale factor of $\frac{1}{4}$ and then a translation."

Hope this helped you out! :-)

5 0

3 years ago

Read 2 more answers

Is it possible for a segment to have more than one bisector? Explain your reasoning.

lord [1]

Yes.

A bisector of a line segment is a line which divides the line segment into two equal parts.
A bisector of a line can divide the line in many different ways forming different angles.
A bisector is said to be a perpendicular bisector if the angle at the intersection of the two lines is 90 degrees.
But, there are several other bisectors that are not perpendicular bisectors.

Therefore, <span>it is possible for a segment to have more than one bisector.</span>

6 0

3 years ago

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DerKrebs [107]

The difference between the 48 and electrons impact

7 0

3 years ago

The parent function f (x)= 2^xis reflected across the x-axis,

skad [1K]

Answer:

$F(x) = 2^{x+2} - 6$

Step-by-step explanation:

To shift a function F(x) a units to the left, we do:

$F(x) = F(x+a)$

In this problem, we have that:

$F(x) = 2^{x}$

So, shifting 2 units left:

$F(x) = 2^{x+2}$

Then

To shift a units down, we do:

$F(x) = F(x) - a. So[tex]F(x) = 2^{x+2}$

Shifting 6 units down

$F(x) = 2^{x+2} - 6$

5 0

2 years ago

Yvonne always buys lemons and apples in the ratio 3:7.

Nina [5.8K]

Answer:

9 because 3:7 means that for every 3 lemons she buys there's 7 apples being bought so you'd add 3+7 until it equals 30 and that's your answer which here is 9 Lemons.

7 0

2 years ago