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2 years ago

What is the counterclockwise rotation shown below? 13 pts.

Mathematics

1 answer:

AveGali [126]2 years ago

6 0

Answer:

<u>270° around the origin</u>

Step-by-step explanation:

As shown at the graph

ΔABC is translated to ΔA'B'C'

A(0,3) , B(-2,2) , C(-1,1)

A'(3,0) , B'(2,2) , C'(1,1)

So, if the coordinate of the pre-image is (x,y)

The coordinate of the image will be (y, -x)

Which mean the rule will be (x,y)→(y,-x)

The previous rule is the rule of rotation 270° counterclockwise

So, the answer is <u>270° around the origin</u>

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Decide whether the relation defines a function.

diamong [38]

Answer:

Step-by-step explanation:

Lets first solve the relation for "y". Shown below:

$3x=9-4y\\4y=-3x+9\\y=-\frac{3}{4}x+\frac{9}{4}$

This is clearly an equation of a line in the form $y=mx+c$

It will be a negatively sloped line, when graphed.

We can use vertical line test to determine function or relation. If a vertical line passes through only 1 point in the graph, we say that it is a function.

Think of a negatively sloped line. No matter where you draw a vertical line, it will only cut the line at 1 point.

So, this is definitely an equation of a function

Correct answer is A

3 0

3 years ago

Allushta [10]

Answer:

Step-by-step explanation:

We can use Hypotenuse Theorem for this:

For triangle ABC,

AC²=CB²+BA²

9²=CB²+3²

Switch the sides

-CB²=3² -9²

-CB²= 9-81

-CB²= -72

the signs cut each other

CB²=72

the square changes sides

CB=√72

CB= 8.49 cm

Now triangle CBD

We have the length of CB but not the other two whereas we have the angle

It will be sin

As we know sin= O/H

Here O is CB whereas H is CD

Put the values

sin 50= 8.49/H

H= 8.49 ÷sin 50

Calculate

H=11.1 cm

As we know H is CD so CD is 11.1 cm

Hope it helps

8 0

2 years ago

The volume of a cube is given by V = x3, where x is the length of an edge of the cube. The area of a square is given by A = x2,

ki77a [65]

X = 12 and A = 144 (If V = 1,728)

8 0

3 years ago

10. Tom bought 3 pairs of socks and a shirt. The total cost was $21.00. The socks cost $2.50 for each pair. How much did the shi

Valentin [98]

Answer:

3x + y = 21

x = 2.5

7.5 + y = 21

y = 13.5

shirt cost $13.50

Step-by-step explanation:

6 0

2 years ago

Is this a reflection

myrzilka [38]

Answer:

yes

Step-by-step explanation:

it is reflected across the y axis

4 0

2 years ago