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3 years ago

Why do all transformation preserve distance

1 answer:

7 0

Well, a distance-preserving transformation is called a rigid motion, and the name suggests that it <em>moves the points of the plane around in a rigid fashion.</em>

A transformation is distance-preserving if the distance between the images of any two points and the distance between the two original points are equal.

If that's confusing, I get it; basically if you transform something, the points from the transformation are image points. Take the distance from a pair of image points, and take the distance from a pair of original points, and they should be the same for a <em>rigid </em>motion.

I keep emphasizing this b/c not all transformations preserve distance; a dilation can grow or shrink things. But if you didn't go over dilations, don't say nothin XD

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What is the inverse of f(x)=2^x

GuDViN [60]

Answer:

Step-by-step explanation:

$f(x)=2^x$

$y = {2}^{x}$

$x = {2}^{y}$

${2}^{y} = x$

$ln( {2}^{y} )=ln(x)$

$yln(2)=ln(x)$

<h3> $\frac{yln(2)}{ln(2)} = \frac{ln(x)}{ln(2)}$ </h3><h3> $y = \frac{ln(x)}{ln(2)}$ </h3><h3> ${f}^{ - 1} (x) = \frac{ln(x)}{ln(2)}$ </h3><h3>Hope it is helpful...</h3>

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3 years ago

The graphs show the distances traveled by two bikers riding at constant rates.

Alik [6]

.......,,,,,....,..,....,.

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3 years ago

What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options. m∠A = 64° and AB = MQ = 31 cm CB =

enyata [817]

Answer:

m∠R = 60° and AB ≅ MQ

m∠Q = 56° and CB ≅ RQ

Step-by-step explanation:

Given data :

Prove ΔABC ≅ ΔMQR using SAS

The missing information to prove ΔABC ≅ ΔMQR using SAS

m∠R = 60° and AB ≅ MQ

m∠Q = 56° and CB ≅ RQ

3 0

3 years ago

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Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b

4vir4ik [10]

The value of "b" is the y-intercept.

In order to figure out slope-intercept form you need 1 coordinate and the slope.
1) Find the slope, using the 2-point slope formula: "m= y2-y1 / x2-x1".
ex. m= -5 - 3 / -4 - -6 (simplify)---> m= -4

2) Fill in the blanks for point-slope formula: "y - y1 = m (x - x1)"
(choose one coordinate, it doesn't matter which one)
ex. y - -5 = -4 (x - -4)

3) Then use basic algebra to simplify.

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3 years ago

If Josefina is the coach of a baseball team, she is also qualified to be __________.

Sliva [168]

If Josefina is the coach of a baseball team, <span><span>she is not necessarily qualified to be any of these choices</span>.

the president of the country
the mayor of the city
the mother of two children
</span>

6 0

4 years ago

Read 2 more answers