All categories

3 years ago

Transformation rules, HELP PLEASE, WILL GIVE BRAINLEIST

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

1. (x , y) → (kx , ky) = Dilation ; similar image
2. (x , y) → (y , -x) = Rotation 90 counterclockwise ; congruent
3. (x , y) → (-x , y) = Reflection over y-axis ; congruent
4. (x , y) → (-x , -y) = Rotation 180 ; congruent
5. (x , y) → (x, -y) = Reflection over x-axis ; congruent
6. (x , y) → (-y , x) = Rotation 90 clockwise ; congruent
7. (x , y) → (x + a , y + b) = Translation ; congruent

Hope this helps :)

You might be interested in

Kirk's average driving speed is 7 kilometers per hour faster than Thor's. In the same length of time it takes Kirk to drive 450

alexandr402 [8]

Answer:

x = 816 kilometers per hour.

Step-by-step explanation:

Given the following data;

Distance traveled by Kirk = 450km

Distance traveled by Thor = 408 km

Let the average driving speed of Thor be x.

Translating the word problem into an algebraic equation;

k = x + 6

We know that the time taken to cover a distance by an object with speed is given by the formula;

Time = distance/speed

Substituting into the equation, we have;

408/x = 405/x + 6

Cross-multiplying, we have;

408*(x + 6) = 405*x

408x + 2448 = 405x

408x - 405x = 2448

3x = 2448

x = 2448/3

x = 816 kilometers per hour.

3 0

3 years ago

#1: Write the equation of the graphed line. NO SPACES, ALL LOWERCASE. <br> Please help

ivanzaharov [21]

Answer:

Equation of graphed line is $\mathbf{y=\frac{2}{3}x-3}$

Step-by-step explanation:

We need to write the equation of the graphed line.

The equation will be in slope intercept form $y=mx+b$ where m is slope and b is y-intercept

We need to find slope and y-intercept.

Finding slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We will use points (0,-3) and (3,2)

Looking at the graph, we get $x_1=0, y_1=-3, x_2=3, y_2=-1$

Putting values in graph and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-1-(-3)}{3-0} \\Slope=\frac{-1+3}{3} \\Slope=\frac{2}{3}$

So, we get slope $\mathbf{\frac{2}{3} }$

Finding y-intercept

y-intercept can be found when x is zero.

So, looking at graph, when x =0, y=-3

So, y-intercept is -3

Equation of Line

So, equation of line having slope $\mathbf{\frac{2}{3} }$ and y-intercept b = -3

$y=mx+b\\y=\frac{2}{3}x-3$

So, Equation of graphed line is $\mathbf{y=\frac{2}{3}x-3}$

8 0

3 years ago

A park is rectangular with a length of 1/2 miles. If the area of the park is 6/8 square miles, what is its width? Input your ans

Mademuasel [1]

Step-by-step explanation:

Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

8 0

3 years ago

There are 17.8 grams of salt in a solution. If 5.9 grams of salt are added to the solution, how many grams of salt will be in th

astraxan [27]

Answer:

Step-by-step explanation:

4 0

4 years ago

Question 4 plz show ALL STEPS

scoray [572]

Part (a)

Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.

Since f(-1) = 4, this means we can then say

g( f(-1) ) = g( 4 ) = 4

To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.

<h3>Answer: 4</h3>

==========================================================

Part (b)

We use the same idea as part (a)

f(-2) = 5

g( f(-2) ) = g(5) = 6

<h3>Answer: 6</h3>

==========================================================

Part (c)

Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.

g(1) = -2

f( g(1) ) = f(-2) = 5

<h3>Answer: 5</h3>

==========================================================

Part (d)

Same idea as part (c)

g(2) = 0

f( g(2) ) = f( 0 ) = 3

<h3>Answer: 3</h3>

6 0

3 years ago