A number that is no more than 20

Three expressions that are equal to 5/9 x 8

madam [21]

Answer:

$\frac{13}{9}+3$
$\frac{22}{9}+2$
$\frac{85}{9}-5$

They all equal $\frac{5}{9}*8$ because they all give $\frac{40}{9}$

Step-by-step explanation:

$\frac{13}{9}+3$
$\frac{22}{9}+2$
$\frac{85}{9}-5$

They all equal $\frac{5}{9}*8$ because they all give $\frac{40}{9}$

Done by writing three equations with one random number and the desired result, $\frac{40}{9}$ , returning the answers above.

4 0

3 years ago

Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?

FinnZ [79.3K]

The correct option is Option D $\boxed{{r_{y-axis}}o{R_{0,270^\circ }}\left({x,y}\right)}$ .

Further explanation:

A translation is a transformation that transforms the figure with a fixed distance in the same direction.

A rotation is the transformation that rotates the figure with given angles.

Given:

It is given that the two transformations that maps pre-image PQRS to image ${\text{P''Q''R''S''}}$ .

Step by step explanation:

Step 1:

It can be seen from the given figure that that the pre image is in the first quadrant and the image is the third quadrant.

The coordinates in the second quadrant represents as $\left({-x,y}\right)$ and in the third quadrant represents as $\left({-x,-y}\right)$ if $x,y$ are positive.

Therefore, the rotation is in the counter clockwise direction of $270^\circ$ .

Step 2:

The rotation of $270^\circ$ in the counter clockwise direction represents the coordinates as,

$\left({x,y}\right)\to\left({y,-x}\right)$

It can be seen that the coordinate of ${\text{PQRS}}$ are as follows,

$\begin{aligned}P=\left({1,1}\right)\hfill\\Q=\left(1,5}\right)\hfill\\R=\left({3,5}\right)\hfill\\S=\left({3,1}\right)\hfill\\\end{aligned}$

Then after rotation of $270^\circ$ counterclockwise on ${\text{PQRS}}$ $\left( {x,y}\right)\to\left({y,-x}\right)$ as,

$\begin{gathered}P\left({1,1}\right)\to\left({1,-1}\right)\hfill\\Q\left({1,5}\right)\to\left({5,1}\right)\hfill\\R\left({3,5}\right)\to\left({5,-3}\right)\hfill\\S\left({3,1}\right)\to\left({1,-3}\right)\hfill\\\end{gathered}$

Step 3:

Now apply the rule of $y$ axis of reflection ${R_{y-axis}}\left({x,y}\right)\to\left({-x,y}\right)$ on the above transformation as,

$\begin{gathered}\left({1,-1}\right)\to\left({-1,1}\right)=P''\hfill\\\left({5,1}\right)\to\left({-5,-1}\right)=Q''\hfill\\\left({5,-3}\right)\to\left({-5,-3}\right)=R''\hfill\\\left({1,-3}\right)\to\left({-1,-3}\right)=S''\hfill\\\end{gathered}$

Therefore, the given transformation is the rotation of $270^\circ$ counterclockwise followed by $y$ axis of reflection.

Therefore, this is the composition of transformation.

The composition of the given transformation can be written as,

${r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)$

Therefore, option D ${r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)$ is correct.

Learn more:

Learn more about what is the final transformation in the composition of transformations that maps pre-image abcd to image a"b'c"d"? a translation down and to the right a translation up and to the right a 270° rotation about point b' a 180° rotation about point b' brainly.com/question/2480946

Learn more about the transformation of function brainly.com/question/7297858

Learn more about midpoint of the segment brainly.com/question/3269852

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Transformations

Keywords: transformations, dilation, translation, rotation, counterclockwise, angle, clockwise, coordinates, mapping, rigid transformation, right side, left side, quadrant, composition.

3 0

3 years ago

Read 2 more answers

A plane is traveling at a rate of 500 miles per hour. The remaining fuel can last for up to 1500 miles.

Tju [1.3M]

Answer:

d. since we know it can travel 500 mph and it has enough fuel to fly for another 1500 miles. it can fly for 3 more hours, the reason D is the correct answer is since the plane can't fly more than 3 hours so it will fly for 3 hours exactly or less

6 0

2 years ago

What is greater 1.036 1.306

vichka [17]

Answer:

1.306

Step-by-step explanation:

1.3 is bigger than

1.03

6 0

3 years ago

Read 2 more answers

G(x)=3x+3 h(x)=-4x+ (g+h)(10)

lisabon 2012 [21]

Answer: (10x + 30)

Step-by-step explanation:

1. combine like terms. -4x + 3x = -x

2. you can’t have a negative x, so you would multiply the equation (-x+3) by -1, to get (x-3).

3. (x-3)(10)... 10 • x = 10x, 10 • 3 = 30.

4. put them together, answer would be 10x + 30.

4 0

3 years ago