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3 years ago

Help!! I'll give points if anybody can answer these for me!

Mathematics

1 answer:

galina1969 [7]3 years ago

6 0

Transformation involves changing the position of a shape.

The transformation from $\triangle ABC$ to $\triangle A'B'C'$ is 90 degrees clockwise rotation

Using the coordinates of A and A', we have:

$A= (-6,3)$

$A'= (3,6)$

Notice that the x-coordinate is negated and then swapped with the y-coordinate.

i.e.

$(x,y) \to (y,-x)$

The transformation of a point from (x,y) to (y,-x) is a 90 degrees clockwise rotation.

Hence, the transformation from $\triangle ABC$ to $\triangle A'B'C'$ is 90 degrees clockwise rotation

You might be interested in

Stella graphs the equation y=1/3x – 2

faltersainse [42]

we have

$y=\frac{1}{3}x-2$

Statements

case A) The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

case B) The line passes through the origin.

The statement is False

Because the point $(0,0)$ is not a solution of the equation

Verify

Substitute the value of x and y in the equation

$0=\frac{1}{3}*0-2$

$0=-2$ ------> is not true

the point $(0,0)$ is not a solution

therefore

The line does not pass through the origin

case C) The line passes through the point $(0,-2)$

The statement is True

Because the point $(0,-2)$ is a solution of the equation

Verify

Substitute the value of x and y in the equation

$-2=\frac{1}{3}*0-2$

$-2=-2$ ------> is true

the point $(0,-2)$ is a solution

therefore

The line passes through the point $(0,-2)$

case D) The slope of the line is $3$

The statement is False

Because, the slope of the line is $m=\frac{1}{3}$

case E) The y-intercept of the line is $2$

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

For $x=0$

find the value of y

$y=\frac{1}{3}*0-2=-2$

the y-intercept is equal to $-2$

5 0

4 years ago

Read 2 more answers

Peter planted 5/12 of his garden with asparagus and 3/12 with beans.

UkoKoshka [18]

Answer: He has planted 2/3 and there is 1/3 left to plant.

Explanation: You need to add your fractions together, because each of those is a section of the garden and you need the total of how much of the garden he has planted.

This isn’t too difficult because the denominators are the same.

5/12 + 3/12 = 8/12

It is 8/12 because since the denominators are the same, you just need to add the numerators. Imagine you have a pie that’s cut into 12 pieces, and you and your friends take 5, and then your family takes 3. How many or gone now? 8 pieces. From how many pieces? 12 pieces. So 8/12 pieces are gone.

So Peter has planted 8/12 of his garden. This however, can be simplified, because both of those numbers divide by 4.

8/4 = 2
12/4 = 3

So 8 is now 2, and 12 is now 3.

This is now 2/3.

If there is 2/3 gone, you need to figure out how much is left to get you to 1.

In this instance, 1 can be rewritten as 3/3, because 3 divided by 3 is 1.

In order to get from 2/3 to 1, you need to add 1/3, one more third to the two thirds you already have.

This means Peter has 1/3 left to plant.

Hope this helps :)

7 0

3 years ago

2) Is V23 a rational or an irrational number?

Butoxors [25]

Answer:Irrational

Step-by-step explanation: There is not a number you can square to get 23. The answer would be a repeating number, being irrational.

4 0

3 years ago

List ALL the factors of 13 in increasing order. In this question, what does increasing order mean?

kozerog [31]

Answer:

ascending order when they are arranged from the smallest to the largest number

6 0

3 years ago

Read 2 more answers

A tire dealer sells 2 tires for as much as he paid for 3 tires. he paid $240 for a dozen tires. What is the total profit on 12 t

tester [92]

First, find how much he paid by tire.
To do so, divide what he paid by how many tires he bought like this :
240$ / 12 = 20$ per tire

Then, calculate how much he sells each tire.
To do so, start by calculating how much he paid for 3 tires:
20$ x 3 = 60$

This is the price he sells 2 tires for, therefore :
60$ / 2 = 30$
he sells his tires 30$ each.

Finally, you have to calculate the profit he made by selling 12.
We already know how much it cost, so you need to find how much money he gets selling them :
12 tires x 30$ = 360$

To find the profit, take off the amount he paid from the amount he made :
360$ - 240$ = 120$

There you go!

3 0

3 years ago